Detailed Description of the Collection
Series 1. Publications of Harry Shultz Vandiver and Others, 1904-1963.
1/1
List of Mathematical Publications of H.S. Vandiver,
February, 1964.
1/2
Vandiver, H. S., On Some Special Arithmetic Congruences, American Mathematical Monthly,11:1-5,
March, 1904.
1/3
Birkoff, Geo. D. and H.S. Vandiver, On the Integral Divisors of a^n-b^n, Annuals of Mathematics, Second Series, 5:173-180,
1904
1/4
Vandiver, H.S., Theory of Finite Algebras, Transactions of the American Mathematical Society, 13:293-304
1912
1/5
Vandiver, H.S., Extension of the Criteria of Wieferich and Mirimanoff in Connection with Fermat's Last Theorem, Journal fur die Reine und Angewandte Matematik, 114:314-318,
1914
1/6
Vandiver, H.S., Note on Fermat's Last Theorem, Transactions of the American Mathematical Society,15:202-204,
1914
1/7
Vandiver, H.S., An Aspect of the Linear Congruence with Applications to the Theory of Fermat's Quotient, Bulletin of the American Mathematical Society,22:61-68,
1915.
(Read before the American Mathematical Society, August 4, 1915.)
1/8
Vandiver, H.S., Note on the Distribution of Quadratic Residues, Bulletin of the American Mathematical Society,23:111-114,
1916.
1/9
Vandiver, H.S., Symmetric Functions Formed by Systems of Elements of a Finite Algebra and Their Connection with Fermat's Quotient and Bernoulli's Numbers, Annals of Mathematics, Series 2, 18:105-114,
1916-1917.
1/10
Kircher, Edward, Some Properties of Certain Finite Algebras, American Journal of Mathematics, 39:273-274,
1917
(includes a theorem of H. S. Vandiver).
1/11
Vandiver, H. S., The Generalized Lagrange Indeterminate Congruence for a Composite Ideal Modules, Annals of Mathematics, 18:115-119,
1917.
1/12
Vandiver, H. S., Proof of a Property of the Norm of a Cyclotomic Integer, Bulletin of the American Mathematical Society, 25:221-223,
February, 1919.
(Read before the American Mathematical Society, 27 April 1918.)
1/13
Vandiver, H. S., On the First Factor of the Class Number of a Cyclotomic Field, Bulletin of the American Mathematical Society, 25:458-461,
July 1919.
(Read before the American Mathematical Society, 27 April 1918).
1/14
Vandiver, H. S., A Property of Cyclotomic Integers and Its Relation to Germat's Last Theorem, Annals of Mathematics, 21: 73-80,
1919.
(Presented to the AAmerican Mathematical Society, December 1914).
1/15
Vandiver, H. S., On Kummer's Memoir of 1857 Concerning Fermat's Last Theorem, Proceedings of the National Academy of Sciences, 6:266-269,
May 1920.
(Communicated by L. E. Dickson 6 March 1920).
1/16
Vandiver, H. S., On the Class number of the Field and the Second Case of Fermat's Last Theorem, Proceedings of the National Academy of Sciences, 6:416-421.
1/17
Vandiver, H. S., Bachmann on Fermat's Last Theorem, Bulletin of the American Mathematical Society, 2nd Series, 27:373-376,
May 1921.
1/18
Vandiver, H. S., Note on Some Results Concerning Fermat's Last Theorem, Bulletin of the American Math Society, 28:258-260,
June 1922.
1/19
Vandiver, H. S., On Kummer's Memoir of 1857 Concerning Fermat's Last Theorem, Bulletin of the American Math Society, 28:400-407,
November 1922.
1/20
Vandiver, H. S., Volumes II and III of Dickson's History, Bulletin of the American Math Society, 30:65-70,
January-February 1924.
1/21
Vandiver, H. S., On Algorithms for the Solution of the Linear Congruence, The American Mathematical Monthly, 31:137-140,
March 1924.
1/22
Vandiver, H. S., Methods for Finding Factors of Large Integers, Bulletin of the American Mathematical Society, 30:542-563,
November-December 1924.
1/23
Vandiver, H. S., A New Type of Criteria for the First Case of Fermat's Last Theorem, Annals of Mathematics, 26:88-94,
1924-25.
(Presented to the American Math Society 7 September 1923).
1/24
Vandiver, H. S., On Sets of Three Consecutive Integers Which Are Quandratic or cubic Residues of Primes, Bulletin of the American Mathematical Society, 31:33-38,
January-February 1925.
1/25
Vandiver, H. S., Laws of Reciprocity and the First Case of Fermat's Last Theorem, Proceedings of the National Academy of Sciences, 11:292-298,
June 1925.
1/26
Vandiver, H. S., On the Distribution of Quadratic and Higher Residues, Bulletin of American Mathematical Society, 31:346-350,
July 1925.
1/27
Vandiver, H. S., A Property of Cyclotomic Integers and Its Relations to Fermat's Last Theorem (2nd paper), Annals of Mathematics, 26:217-232,
1925.
1/28
Vandiver, H. S., On the Power Characters of Units in a Cyclotomic Field, American Journal of Mathematics, 47:140-147,
1925.
1/29
Vandiver, H. S., Note on Trinomial Congruences and the First Case of Fermat's Last Theorem, Annals of Mathematics, 2nd Series, 27:54-56.
1/30
Vandiver, H. S., Summary of Results and Proofs Concerning Fermat's Last Theorem (1st paper), Proceedings of the National Academy of Sciences, 12:106-109,
1926.
(Communicated 6 January 1926.)
1/31
Vandiver, H. S., Transformation of the Kummer Criteria in Connection with Fermat's Last Theorem, Annals of Mathematics, 2nd Series, 27:171-176,
March 1926.
1/32
Vandiver, H. S., Application of the Theory of Relative Cyclic Fields to Both Cases of Fermat's Last Theorem, Transactions of the American Mathematical Society, 28:554-560,
July 1926.
1/33
Vandiver, H. S., Summary of Results and Proofs Concerning Fermat's Last Theorem (Second Note), Proceedings of the National Academy of Sciences, 12:767-772,
December 1926.
1/34
Vandiver, H. S., A Criterion That a Cubic Equation Has an Integral Root, American Mathematical Monthly, 33:94-96,
1926.
1/35
Vandiver, H. S., Application of the Theory of Relative Cyclic Fields for Both Cases of Fermat's Last Theorem, Transactions of the American Mathematical Society, 28:554-560.
1/36
Vandiver, H. S., On the Least Multiple of an Integer Expressible as a Definite Quadratic Form, The American Mathematical Monthly, 34:86-88,
February 1927.
1/37
Vandiver, H. S., Application of Algebraic Number Theory to Congruences Involving Binomial Coefficients, Annals of Mathematics, 2nd Series, 28:330-332,
July 1927.
1/38
Vandiver, H. S., Review of Fueter's Syntheische Zahlentheorie, American Mathematical Monthly, 34:376-378,
1927.
1/39
Vandiver, H. S., Transformations of the Kummer Criteria in Connection with Fermat's Last Theorem (Second Paper), Annals of Mathematics, 28:451-458,
1928.
1/40
Vandiver, H. S., The Extension of the Bernoulli Summation Formula, American Mathematical Monthly, 36:36,
January 1929.
1/41
Vandiver, H. S., Algorithms for the Solution of the Quadratic Congruence, American Mathematical Monthly, 36:83-85,
February 1929.
1/42
Vandiver, H. S., Summary of Results and Proofs on Fermat's Last Theorem (Fourth Paper), Proceedings of the National Academy of Sciences, 15:108-109,
February 1929.
1/43
Vandiver, H. S.,
Some Theorems Concerning Properly Irregular Cyclotomic Fields, Proceedings of the National Academy of Sciences, 3:202-207,
March 1929.
1/44
Vandiver, H. S.,
A Theorem of Kummer's Concerning the Second Factor of the Class Number of a Cyclotomic Field, Bulletin of the American Mathematical Society, 35:333-335,
May-June 1929.
1/45
Vandiver, H. S.,
On a Theorem of Kummer's Concerning Power Characters of Units in a Cyclotomic Field, Annals of Mathematics, 2nd Series, 30:487-491,
August 1921.
1/46
Vandiver, H. S.,
On the First Case of Fermat's Last Theorem, Annals of Mathematics, 2nd Series, 30:552-558,
October 1929.
1/47
Vandiver, H. S.,
An Algorithm for Transforming Kummer Criteria in Connection with Fermat's Last Theorem, Annals of Mathematics, 2nd Series, 30:559-577,
October 1929.
1/48
Vandiver, H. S.,
Summary of Results and Proof Concerning Fermat's Last Theorem (Third Paper), Proceedings of National Academy of Sciences, 15:43-48,
1929.
(Communicated 17 November 1928).
1/49
Vandiver, H. S.,
On Fermat's Last Theorem, Transactions of the American Mathematical Society, 31:613-642,
1929.
1/50
Stafford, Elizabeth T. and H. S. Vandiver, Determination of Some Properly Irregular Cyclotomic Fields, Proceedings of the National Academy of Sciences, 16:139-150,
February 1930.
(Communicated 4 January 1929).
1/51
Vandiver, H. S.,
Summary of Results and Proofs on Fermat's Last Theorem (Fifth Paper), Proceedings of the National Academy of Sciences, 16:298-304,
April 1930.
(Communicated 10 March 1930).
1/52
Vandiver, H. S.,
On the Second Factor of the Class Number of a Cyclotomic field, Proceedings of the National Academy of Sciences, 16:743-749,
November 1930.
1/53
Vandiver, H. S.,
On the the Norm-Residue Symbol in the Theory of Cyclotomic Fields, Proceedings of the National Academy of Sciences, 16:740-743,
November 1930.
(Communicated 18 September 1930).
1/54
Vandiver, H. S.,
Some Properties of a Certain System of Independent Units in a Cyclotomic Field, Annals of Mathematics, 31:123-125,
1930.
1/55
Vandiver, H. S.,
A New Theory of the Representation of Integers as Definite Quadratic Forms, Annals of Mathematics, 31:117-122,
1930.
1/56
Vandiver, H. S.,
Summary of Results and Proofs of Fermat's Last Theorem (Sixth Paper), Proceedings of the National Academy of Sciences, 17:661-673,
December 1931.
(Communicated 26 October 1931).
1/57
Vandiver, H. S.,
Note on the Divisors of the Numerators of Bernoulli's Numbers, Proceedings of the National Academy of Sciences, 18:594-597,
September 1932.
(Dommunicated 28 July 1932).
1/58
Vandiver, H. S.,
On the Method of Infinite Descent in Connection with Fermat's Last Theorem for Regular Prime Exponents, Commentarii Mathematici Helvetici, 4:1-8,
1932.
1/59
Vandiver, H. S.,
Review of Nogue's Theoreme de Fermat, Bulletin of American Mathematical Society, 38:794-795,
1932.
1/60
Vandiver, H. S.,
Fermat's Last Report and the Second Factor in the Cyclotomic Class Number, Bulletin of the American Mathematical Society, 40:118-126,
February 1934.
1/61
Vandiver, H. S., On Power Characters in Cyclotomic Fields, Bulletin of the American Mathematical Society, 40:111-117,
February 1934.
1/62
Vandiver, H. S.,
On the Foundations of a Constructive Theory of Discrete Commutative Algebra, Proceedings of the National Academy of Sciences, 20:579-584.
1/63
Vandiver, H. S.,
A Note of Units in Super-Cyclic Fields, Bulletin of the American Mathematical Society, 40:855-858,
December 1934.
1/64
Vandiver, H. S.,
Note on a Simple Type of Algebra in which the Cancellation Law of Addition Does Not Hold, Bulletin of the American Mathematical Society, 40:914-920,
December 1934.
1/65
Vandiver, H. S.,
On the Foundations of a Constructive Theory of Discrete Commutative Algebra (Second Paper), Proceedings of the National Academy of Sciences, 21:162-165,
1935.
1/66
Vandiver, H. S.,
Constructive Derivation of the Decomposition-Field of a Polynomial, Annals of Mathematics, 37:1-6,
January 1936.
1/67
Vandiver, H. S.,
On the Ordering of Real Algebraic Numbers by Constructive Methods, Annals of Mathematics, 37:7-16,
January 1936.
1/68
Vandiver, H. S.,
Note on the Associative Distributive Algebra in Which the Commutative Law of Additon Does Not Hold, Bulletin of the American Mathematical Society, 41:857-859,
December 1936.
1/69
Vandiver, H. S.,
On Trinomial Diophantine Equations Connected with the Fermat Relations, Monatshefte fur Mathematik and Physik, 43:317-320,
1936.
1/70
Vandiver, H. S.,
Note on a Certain Ring-Congruence, Bulletin of the American Mathematical Society, 41:418-423,
June 1937.
1/71
Vandiver, H. S.,
On the Concept of Co-Sets In a Semi-group, Proceedings of the National Academy of Sciences, 23:552-555,
October 1937.
(Communicated 8 September 1937).
1/72
Vandiver, H. S.,
On Generalizations of the Numbers of Bernoulli and Euler, Proceedings of the National Academy of Sciences, 23:555-559,
October 1937.
(Communicated 8 September 1937).
1/73
Vandiver, H. S.,
On Bernoulli's Numbers and Fermat's Last Theorem, Duke Mathematical Journal, 3:569-584,
December 1937.
1/74
Vandiver, H. S.,
On Criteria Concerning Singular Integers in Cyclotomic Fields, Proceedings of the National Academy of Sciences, 24:330-333,
August 1938.
1/75
Vandiver, H. S.,
On Congruences Involving Sums of Products of Binomial Coefficients, American Mathematical Monthly, 45:369-371,
1938.
2/1
Vandiver, H. S.,
On Some Simple Types of Semi-Rings, American Mathematical Monthly, 46:22-26,
January 1939.
2/2
Vandiver, H. S., On Analogues of the Bernoulli and Allied Numbers, Proceedings of the National Academy of Sciences, 25:197-201,
April 1939.
(Communicated 21 February 1939).
2/3
Vandiver, H. S.,
On Bernoulli's Numbers and Fermat's Last Theorem (Second Paper), Duke Mathematical Journal, 5:418-427,
June 1939.
2/4
Vandiver, H. S., Certain Congruences Involving the Bernoulli Numbers, Duke Mathematical Journal, 5:548-551,
September 1939.
2/5
Vandiver, H. S.,
On Basis Systems for Groups of Ideal Classes in a Properly Irregular Cyclotomic Field, Proceedings of the National Academy of Sciences, 25:586-591,
November 1939.
2/6
Vandiver, H. S.,
On the Composition of the Group of Ideal Classes in a Properly Irregular Cyclotomic Field, Monatshefte fur Mathematik und Physick, (Festband Ph. Furtwangler), 48:369-380,
1939.
2/7
Vandiver, H. S.,
On the Imbedding of One Semi-group in Another, with Application to Semi-rings, American Journal of Mathematics, 62:72-78,
January 1940.
2/8
Vandiver, H. S.,
On General Methods for Obtaining Congruences Involving Bernoulli Numbers, Bulletin of the American Mathematical Society, 46:121-123,
February 1940.
2/9
Vandiver, H. S.,
Note on Euler Number Criteria for the First Case of Fermat's Last Theorem, American Journal of Mathematics, 62:79-82,
January 1940.
2/10
Vandiver, H. S.,
The Elements of a Theory of Abstract Discrete Semi-groups, Vierteljahrsschrift der Naturforschenden Gesellschaft in Zurich, 85:71-86,
1940.
2/11
Vandiver, H. S.,
On Improperly Irregular Cyclotomic Fields, Proceedings of the National Academy of Sciences, 27:77-83,
January 1941.
2/12
Vandiver, H. S.,
Simple Explicit Expressions for Generalized Bernoulli Numbers of the First Order, Duke Mathematical Journal, 8:575-584,
September 1941.
2/13
Vandiver, H. S.,
Review of Diophantische Gleichungen by T. Skolem, Bulletin of the American Mathematical Society, 48:10-15,
January 1942.
2/14
Vandiver, H. S.,
On Formal Exponential Differentiation in Rings, Proceedings of the National Academy of Sciences, 28:24-27,
January 1942.
2/15
Vandiver, H. S.,
Certain Congruence Criteria Connected with Fermat's Last Theorem, Proceedings of the National Academy of Sciences, 28:144-150,
April 1942.
2/16
Vandiver, H. S.,
An Arithmetical Theory of the Bernoulli Numbers, Transactions of the American Mathematical Society, 51:502-531,
May 1942.
2/17
Vandiver, H. S.,
General Congruences Involving the Bernoulli Numbers, Proceedings of the National Academy of Sciences, 28:324-328,
August 1942.
2/18
Vandiver, H. S.,
Some Theorems in Finite Field Theory with Applications to Fermat's Last Theorem, Proceedings of the National Academy of Sciences, 30:362-367,
November 1944.
2/19
Vandiver, H. S.,
On Trinomial Congruences and Fermat's Last Theorem, Proceedings of the National Academy of Sciences, 300:368-370,
November 1944.
(Communicated 25 September 1944).
2/20
Vandiver, H. S.,
New Types of Relations in Finite Field Theory, Proceedings of the National Academy of Sciences, 31:50-54,
January 1945.
2/21
Vandiver, H. S.,
Fermat's Quotient and Related Arithmetic Functions, Proceedings of the National Academy of Sciences, 31:50-54,
January 1945.
2/22
Vandiver, H. S.,
On the Numbers of Solutions of Certain Non-homogeneous Equations in a Finite Field, Proceedings of the National Academy of Sciences, 31:170-175,
June 1945.
2/23
Vandiver, H. S.,
New Types of Relations in Finite Field Theory (Second Paper), Proceedings of the National Academy of Sciences, 31:189-194,
July 1945.
2/24
Vandiver, H. S.,
Bernoulli's Numbers and Certain Arithmetic Quotient Functions, Proceedings of the National Academy of Sciences, 31:310-314,
September 1945.
2/25
Vandiver, H. S.,
On the Number of Solutions of Some General Types of Equations in a Finite Field, Proceedings of the National Academy of Sciences, 32:47-52,
February 1946.
2/26
Vandiver, H. S.,
On Classes of Diophantine Equations of Higher Degrees Which Have No Solutions, Proceedings of the National Academy of Sciences, 32:101-106,
April 1946.
(Communicated 20 February 1946).
2/27
Vandiver, H. S.,
Cyclotomy and Trinomial Equations in a Finite Field, Proceedings of the National Academy of Sciences, 32:317-319,
15 December 1946.
(Communicated 23 September 1946).
2/28
Vandiver, H. S.,
On Some Special Trinomial Equations in a Finite Field, Proceedings of the National Academy of Sciences, 32:320-326,
15 December 1946.
2/29
Vandiver, H. S.,
Fermat's Last Theorem, American Mathematical Monthly, 53:555-578,
December 1946.
2/30
Vandiver, H. S.,
On a p-ADIC Representation of Rings and Abelian Groups, Annals of Mathematics, 48:22-28,
January 1947.
2/31
Vandiver, H. S.,
Limits for the Number of Solutions of Certain General Types of Equations in a Finite Field, Proceedings of the National Academy of Sciences, 33:236-242,
1947.
2/32
Diophantine Analysis, article in 1947 editon of Encyclopedia Britannica, 7:398-400,
1947.
2/33
Fermat's Last Theorem, article in 1947 edition of Encyclopedia Britannica, 9:173-174,
1947.
2/34
Vandiver, H. S.,
Applications of Cyclotomy to the Theory of Nonhomogeneous Equations in a Finite Field, Proceedings of the National Academy of Sciences, 34:62-66,
February 1948.
2/35
Vandiver, H. S.,
New Types of Congruences Involving Bernoulli Numbers and Fermat's Quotient, Proceedings of the National Academy of Science, 34:103-110,
March 1948.
2/36
Vandiver, H. S.,
Cyclotomic Power Characters and Trinomial Equations in a Finite Field, Proceedings of the National Academy of Sciences, 34:196-203,
May 1948.
2/37
Vandiver, H. S.,
On the Existence of Solutions of Certain Equations in a Finite Field, Proceedings of the National Academy of Sciences, 34:258-263,
June 1948.
2/38
Vandiver, H. S.,
Congruence Methods as Applied to Diophantine Analysis, Math Magazine, 22:185-192,
1948.
2/39
Vandiver, H. S.,
Characters Over Certain Types of Rings with Applications to the Theory of Equations in a Finite Field, Proceedings of the National Academy of Sciences, 35:94-99,
February 1949.
2/40
Vandiver, H. S.,
On Congruence Which Relate the Fermat and Wilson Quotients to the Bernoulli Numbers, Proceedings of the National Academy of Sciences, 35:332-337,
June 1949.
2/41
Vandiver, H. S.,
On the Nature of the Solutions of Certain Equations in a Finite Field, Proceedings of the National Academy of Sciences, 35:481-487,
August 1949.
2/42
Vandiver, H. S.,
On the Number of Solutions of Some Trinomial Equations in a Finite Field, Proceedings of the National Academy of Sciences, 35:477-481,
August 1949.
2/43
Vandiver, H. S.,
On the Use of Indeterminates in the Theory of Exponential Sums, Proceedings of the National Academy of Sciences, 35:686-690,
December 1949.
2/44
Vandiver, H. S.,
Quadratic Relations Involving the Numbers of Solutions of Certain Types of Equations in a Finite Field, Proceedings of the National Academy of Sciences, 35:681-685,
December 1949.
2/45
Vandiver, H. S.,
On a Generalization of a Jacobi Exponential Sum Associated with Cyclotomy, Proceedings of the National Academy of Sciences, 36:1-44, 151,
February 1950.
2/46
Faircloth, O. B. and H. S. Vandiver, On Multiplicative Properties of a Generalized Jacobi-Cauchy Cyclotomic Sum, Proceedings of the National Academy of Sciences, 36:260-267,
April 1950.
2/47
Faircloth, O. B. and H. S. Vandiver, On Certain Diophantine Equations in Rings and Fields, Proceedings of the National Academy of Sciences, 38:52-57,
January 1952.
2/48
Vandiver, H. S.,
On Cyclotomy and Extensions of Gaussian Type Quadratic Relations Involving Numbers of Solutions of Conditional Equations in Finite Fields, Proceedings of the National Academy of Sciences, 38:981-991,
November 1952.
2/49
Vandiver, H. S.,
A Development of Associative Algebra and an Algebraic Theory of Numbers, I, Math Magazine, 25:233-250,
1952.
2/50
Pearson, Erna H. and H. S. Vandiver, On a New Problem Concerning Trinomial Congruences Involving Rational Integers, Proceedings of the National Academy of Sciences, 39:1278-1285,
December 1953.
2/51
Vandiver, H. S.,
On the Mathematical Work of Dimitry Mirimanoff, L'Enseignement Mathematique, Geneva, Switzerland, 39:169-179,
1952.
2/52
Vandiver, H. S.,
A Development of Associative Algebra and an Algebraic Theory of Numbers, II, Math Magazine, 27:1-18,
1953.
2/53
Vandiver, H. S.,
New Types of Trinomial Congruence Criteria Applying to Fermat's Last Theorem,Proceedings of the National Academy of Sciences, 40:248-252,
April 1954.
2/54
Vandiver, H. S.,
The Relation of Some Data Obtained from Rapid Computing Machines to the Theory of Cyclotomic Fields, Proceedings of the National Academy of Sciences, 40:474-480,
June 1954.
2/55
Vandiver, H. S.,
Examination of Methods of Attack on the Second Case of Fermat's Last Theorem,Proceedings of the National Academy of Sciences, 40:732-735,
August 1954.
2/56
Nicol, C. A. and H. S. Vandiver, A Von Sterneck Arithmetical Function and Restricted Partitions with Respect to a Modulus,Proceedings of the National Academy of Sciences, 40:825-835,
September 1954.
2/57
Vandiver, H. S.,On Trinomial Equations in a Finite Field,Proceedings of the National Academy of Sciences, 40:1008-1010,
October 1954.
2/58
Lehmer, D. H. and Emma Lehmer and H. S. Vandiver, An Application of High-Speed Computing to Fermat's Last Theorem,Proceedings of the National Academy of Sciences, 40:25-33,
1954.
2/59
Nicol, C. A. and H. S. Vandiver, On Generating Functions for Restricted Partitions of Rational Integers,Proceedings of the National Academy of Sciences, 41:37-42,
January 1955.
2/60
Vandiver, H. S.,
Divisibility Problems in Number Theory,Scripta Mathematica, 21:15-19,
March 1955.
2/61
Vandiver, H. S.,
On the Properties of Certain Trinomial Equations in a Finite Field,Proceedings of the National Academy of Sciences, 41:651-653,
September 1955.
2/62
Vandiver, H. S.,
Relation of the Theory of Certain Trinomial Equations in a Finite Field to Fermat's Last Theorem,Proceedings of the National Academy of Sciences, 41:770-775,
October 1955.
2/63
Vandiver, H. S.,On the Divisors of the Second Factor of the Class Number of a Cyclotomic Field,Proceedings of the National academy of Sciences, 41:780-783,
October 1955.
2/64
Vandiver, H. S.,
On Cyclotomic Relations and Trinomial Equations in a Finite Field,Proceedings of the National Academy of Sciences, 41:775-780,
October 1955.
2/65
Nicol, C. A. and J. L. Selfriedge and H. S. Vandiver, Proof of Fermat's Last Theorem for All Prime Exponents Less Than 4002,Proceedings of the National Academy of Sciences, 41:970-973,
November 1955.
2/66
Vandiver, H. S.,
Is There an Infinity of Regular Primes? Scripta Mathematica, 21:306-309,
December 1955.
2/67
Vandiver, H. S. and M. W. Weaver, A Development of Associative Algebra and an Algebraic Theory of Numbers, III, Mathematics Magazine, 29: 135-151,
January-February 1956.
2/68
Nicol, C. A. and J. L. Selfridge and H. S. Vandiver, On Diophantine Equations Which Have No Solutions, Proceedings of the National Academy of Sciences, 42:264-266,
May 1956.
2/69
Vandiver, H. S.,
Diophantine Equations in Certain Rings, Proceedings of the National Academy of Sciences, 42:656-665,
September 1956.
2/70
Vandiver, H. S. and M. W. Weaver, A Development of Associative Algebra and an Algebraic Theory of Numbers, IV, Mathematics Magazine, 30:1-8,
1956.
2/71
Lehmer, Emma and H. S. Vandiver, On the Computation of the Number of Solutions of Certain Trinoial Congruences, Journal of the Association for Computing Machinery, 4:505-510,
October 1957.
2/72
Vandiver, H. S.,
The Rapid Computing Machine as an Instrument in the Discovery of New Relations in the Theory of Numbers, Proceedings of the National Academy of Sciences, 44:459-464,
May 1958.
2/73
Nicol, C. A. and H. S. Vandiver, Supplement to a Paper Entitled 'A Von Sterneck Arithmetical Function and Restricted Partitions with Respect to a Modulus, Proceedings of the National Academy of Sciences, 44:917-918,
September 1958.
2/74
Vandiver, H. S.,
Some Aspects of the Fermat Problem (Fourth Paper), Proceedings of the National Academy of Sciences, 49:601-608,
May 1963.
2/75
Vandiver, H. S. and M. W. Weaver, Introduction to Arithmetic Factorization and Congruences from the Standpoint of Abstract Algebra, American Mathematical Monthly, 65:1-53,
October 1958.
(Part II, no. 7 of the Herbert Ellsworth Slaught Memorial Papers).
2/76
Vandiver, H. S.,
On Distribution Problems Involving the Numbers of Solutions of Certain Trinomial Congruences, Proceedings of the National Academy of Sciences, 45:1635-1641,
November 1959.
2/77
Vandiver, H. S.,
On Conditional Fractional Equations in a Field, Involving One Unknown, Mathematics Magazine, 32:173-173,
1959.
2/78
Vandiver, H. S.,
On the Use of the Equivalence Symbol and Parentheses Symbols in Associative Distributive Algebra, Mathematics Magazine, 32:13-20,
January 1960.
2/79
Vandiver, H. S.,
On the Desirability of Publishing Classified Bibliographies of the Mathematics Literature, American Mathematical Monthly, 67:47-50,
January 1960.
2/80
Vandiver, H. S.,
On the Use of Abstract Algebra as a Method for Obtaining Results Involving Rational Integers Only and the Reverse of this Procedure, Proceedings of the National Academy of Sciences, 46:545-554,
April 1960.
2/81
Vandiver, H. S.,
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Supplement to an Article Entitled 'On the Use of the Equivalence Symbol and Parentheses Symbols in Associative Distributive Algebra' Mathematics Magazine, 36:192-193,
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