Harry Vandiver
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Most Influential Person Across History
American mathematician
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Mathematics
Harry Vandiver's Degrees
- PhD Mathematics University of Chicago
Why Is Harry Vandiver Influential?
(Suggest an Edit or Addition)According to Wikipedia, Harry Schultz Vandiver was an American mathematician, known for work in number theory. He was born in Philadelphia, Pennsylvania to John Lyon and Ida Frances Vandiver. He did not complete a formal education, choosing instead to leave school at an early age to work for his father's firm, although he did attend some graduate classes at the University of Pennsylvania in 1904–5.
Harry Vandiver's Published Works
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Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Note on a simple type of algebra in which the cancellation law of addition does not hold (1934) (259)
- On the Integral Divisors of a n - b n (1904) (172)
- Characters over Certain Types of Rings with Applications to the Theory of Equations in a Finite Field. (1949) (46)
- A VON STERNECK ARITHMETICAL FUNCTION AND RESTRICTED PARTITIONS WITH RESPECT TO A MODULUS. (1954) (43)
- Fermat's Last Theorem: Its History and the Nature of the Known Results Concerning it (1946) (25)
- AN APPLICATION OF HIGH-SPEED COMPUTING TO FERMAT'S LAST THEOREM. (1954) (22)
- On the first factor of the class number of a cyclotomic field (1919) (22)
- An arithmetical theory of the Bernoulli numbers (1942) (21)
- On Bernoulli’s numbers and Fermat’s last theorem (1937) (19)
- A Property of Cyclotomic Integers and its Relation to Fermat's Last Theorem (1919) (18)
- On Fermat’s last theorem (1929) (17)
- PROOF OF FERMAT'S LAST THEOREM FOR ALL PRIME EXPONENTS LESS THAN 4002. (1955) (17)
- Note on Euler Number Criteria for the First Case of Fermat's Last Theorem (1940) (16)
- On the Existence of Solutions of Certain Equations in a Finite Field. (1948) (15)
- Extension of the criteria of Wieferich and Mirimanoff in connection with Fermat's last theorem. (15)
- EXAMINATION OF METHODS OF ATTACK ON THE SECOND CASE OF FERMAT'S LAST THEOREM. (1954) (14)
- On the Number of Solutions of Some Trinomial Equations in a Finite Field. (1949) (13)
- Certain congruences involving the Bernoulli numbers (1939) (13)
- On Some Simple Types of Semi-Rings (1939) (13)
- Simple explicit expressions for generalized Bernoulli numbers of the first order (1941) (11)
- Fermat's last theorem and the second factor in the cyclotomic class number (1934) (10)
- On the Nature of the Solutions of Certain Equations in a Finite Field. (1949) (10)
- An aspect of the linear congruence with applications to the theory of Fermat’s quotient (1915) (9)
- On trinomial diophantine equations connected with the fermat relation (1936) (9)
- A Development of Associative Algebra and an Algebraic Theory of Numbers, III (1956) (9)
- Symmetric Functions Formed by Systems of Elements of a Finite Algebra and their Connection with Fermat's Quotient and Bernoulli's Numbers (1917) (9)
- Determination of Some Properly Irregular Cyclotomic Fields. (1930) (8)
- On Kummer's Memoir of 1857 Concerning Fermat's Last Theorem. (1920) (7)
- A New Type of Criteria for the First Case of Fermat's Last Theorem (1924) (7)
- Constructive Derivation of the Decomposition-Field of a Polynomial (1936) (6)
- Note on Trinomial Congruences and the First Case of Fermat's Last Theorem (1925) (6)
- On the method of infinite descent in connection with Fermat's last theorem for regular prime exponents (1932) (6)
- On the Imbedding of One Semi-Group in Another, with Application to Semi-Rings (1940) (6)
- On Generations of the Numbers of Bernoulli and Euler. (1937) (6)
- On the composition of the group of ideal classes in a properly irregular cyclotomic field (1939) (6)
- On Bernoulli’s numbers and Fermat’s last theorem (Second Paper) (1939) (5)
- Summary of Results and Proofs Concerning Fermat's Last Theorem. (1926) (5)
- On a New Problem Concerning Trinomial Congruences Involving Rational Integers. (1953) (5)
- Laws of Reciprocity and the First Case of Fermat's Last Theorem. (1925) (4)
- On the Computation of the Number of Solutions of Certain Trinomial Congruences (1957) (4)
- NEW TYPES OF TRINOMIAL CONGRUENCE CRITERIA APPLYING TO FERMAT'S LAST THEOREM. (1954) (4)
- Theory of finite algebras (1912) (4)
- Note on a certain ring-congruence (1937) (4)
- On power characters of singular integers in a properly irregular cyclotomic field (1930) (4)
- On the Number of Solutions of Some General Types of Equations in a Finite Field. (1946) (4)
- On Classes of Diophantine Equations of Higher Degrees Which Have No Solutions. (1946) (4)
- ON GENERATING FUNCTIONS FOR RESTRICTED PARTITIONS OF RATIONAL INTEGERS. (1955) (4)
- On the Class Number of the Field Ω(e2iπ/pn) and the Second Case of Fermat's Last Theorem (1920) (4)
- Application of the theory of relative cyclic fields to both cases of Fermat’s last theorem (1926) (4)
- A Supplementary Note to a 1946 Article on Fermat's Last Theorem (1953) (4)
- Algebraic numbers--II : report of committee on algebraic numbers (3)
- On Congruences which relate the Fermat and Wilson Quotients to the Bernoulli Numbers. (1949) (3)
- On Multiplicative Properties of a Generalized Jacobi-Cauchy Cyclotomic Sum. (1950) (3)
- On A p-Adic Representation of Rings and Abelian Groups (1947) (3)
- Some of my recollections of George David Birkhoff (1963) (3)
- ON THE SECOND FACTOR OF THE CLASS NUMBER OF A CYCLOTOMIC FIELD. (1930) (3)
- Note on the Divisors of the Numerators of Bernoulli's Numbers. (1932) (3)
- On a Generalization of a Jacobi Exponential Sum Associated with Cyclotomy. (1950) (3)
- On the Desirability of Publishing Classified Bibliographies of the Mathematics Literature (1960) (3)
- Summary of Results and Proofs on Fermat's Last Theorem. (Sixth Paper). (1929) (3)
- Discussions: On Algorithms for the Solution of the Linear Congruence (1924) (3)
- Summary of Results and Proofs Concerning Fermat's Last Theorem (Second Note). (1926) (2)
- Note on Fermat’s last theorem (1914) (2)
- On the Ordering of Real Algebraic Numbers by Constructive Methods (1936) (2)
- General Congruences Involving the Bernoulli Numbers. (1942) (2)
- On Improperly Irregular Cyclotomic Fields. (1941) (2)
- On Basis Systems for Groups of Ideal Classes in a Properly Irregular Cyclotomic Field. (1939) (2)
- Quadratic Relations Involving the Numbers of Solutions of Certain Types of Equations in a Finite Field. (1949) (2)
- A note on units in super-cyclic fields (1934) (2)
- SOME THEOREMS CONCERNING PROPERLY IRREGULAR CYCLOTOMIC FIELDS. (1929) (2)
- On the Number of Solutions of Certain Non-Homogeneous Trinomial Equations in a Finite Field. (1945) (2)
- ON DIOPHANTINE EQUATIONS WHICH HAVE NO SOLUTIONS. (1956) (2)
- Note on an associative distributive algebra in which the commutative law of addition does not hold (1936) (2)
- On Certain Diophantine Equations in Rings and Fields. (1952) (2)
- ON TRINOMIAL EQUATIONS IN A FINITE FIELD. (1954) (2)
- THE RAPID COMPUTING MACHINE AS AN INSTRUMENT IN THE DISCOVERY OF NEW RELATIONS IN THE THEORY OF NUMBERS. (1958) (2)
- THE RELATION OF SOME DATA OBTAINED FROM RAPID COMPUTING MACHINES TO THE THEORY OF CYCLOTOMIC FIELDS. (1954) (2)
- Some Theorems in Finite Field Theory with Applications to Fermat's Last Theorem. (1944) (2)
- On the distribution of quadratic and higher residues (1925) (2)
- SUPPLEMENT TO A PAPER ENTITLED "A VON STERNECK ARITHMETICAL FUNCTION AND RESTRICTED PARTITIONS WITH RESPECT TO A MODULUS". (1958) (2)
- On general methods for obtaining congruences involving Bernoulli numbers (1940) (2)
- SOME ASPECTS OF THE FERMAT PROBLEM (THIRD PAPER). (1961) (1)
- On the Foundation of a Constructive Theory of Discrete Commutative Algebra (Second Paper). (1935) (1)
- Applications of a Theorem Regarding Circulants (1902) (1)
- RELATION OF THE THEORY OF CERTAIN TRINOMIAL EQUATIONS IN A FINITE FIELD TO FERMAT'S LAST THEOREM. (1955) (1)
- On Some Special Trinomial Equations in a Finite Field. (1946) (1)
- Transformations of the Kummer Criteria in Connection with Fermat's Last Theorem (1926) (1)
- Algorithms for The Solution of the Quadratic Congruence (1929) (1)
- New Types of Congruences Involving Bernoulli Numbers and Fermat's Quotient. (1948) (1)
- Limits for the Number of Solutions of Certain General Types of Equations in a Finite Field. (1947) (1)
- Volumes II and III of Dickson's History (1)
- On Cyclotomy and Extensions of Gaussian Type Quadratic Relations Involving Numbers of Solutions of Conditional Equations in Finite Fields. (1952) (1)
- On the Foundations of a Constructive Theory of Discrete Commutative Algebra. (1934) (1)
- The Semigroup of the Nonunits of the Multiplicative Semigroup of Residue Classes Modulo m (1958) (1)
- On the First Case of Fermat's Last Theorem (1)
- A theorem of Kummer's concerning the second factor of the class number of a cyclotomic field (1929) (1)
- Associative Algebraic Systems (1958) (1)
- ON DISTRIBUTION PROBLEMS INVOLVING THE NUMBERS OF SOLUTIONS OF CERTAIN TRINOMIAL CONGRUENCES. (1959) (1)
- SUMMARY OF RESULTS AND PROOFS ON FERMAT'S LAST THEOREM: (Fifth Paper). (1)
- The Generalized Lagrange Indeterminate Congruence for a Composite Ideal Modulus (1917) (1)
- Discussions: A Criterion that a Cubic Equation has an Integral Root (1926) (1)
- On Criteria Concerning Singular Integers in Cyclotomic Fields. (1938) (1)
- Fermat's Quotient and Related Arithmetic Functions. (1945) (0)
- ON THE NORM-RESIDUE SYMBOL IN THE THEORY OF CYCLOTOMIC FIELDS. (1930) (0)
- SOME ASPECTS OF THE FERMAT PROBLEM (FIRST PAPER). (1961) (0)
- Number Theory and Diophantine Analysis: 165-167 (1909) (0)
- Cyclotomy and Trinomial Equations in a Finite Field. (1946) (0)
- New Types of Relations in Finite Field Theory. (1945) (0)
- Diophantine Analysis: 101 (1902) (0)
- Ideals and Congruences in the Ring of Rational Integers (1958) (0)
- ON CYCLOTOMIC RELATIONS AND TRINOMIAL EQUATIONS IN A FINITE FIELD. (1955) (0)
- A New Theory of the Representation of Integers as Definite Quadratic Forms (0)
- Number Theory and Diophantine Analysis: 152 (1908) (0)
- SUMMARY OF RESULTS AND PROOFS ON FERMAT'S LAST THEOREM (FOURTH PAPER). (0)
- On Congruences Involving Sums of Products of Binomial Coefficients (1938) (0)
- On the Power Characters of Units in a Cyclotomic Field (1925) (0)
- Diophantine Analysis: 109-111 (1902) (0)
- On the Class Number of the Field Omega(e/p) and the Second Case of Fermat's Last Theorem. (0)
- Some Properties of a Certain System of Independent Units in a Cyclotomic Field (0)
- On Conditional Fractional Equations in a Field, Involving One Unknown (1959) (0)
- ON THE PROPERTIES OF CERTAIN TRINOMIAL EQUATIONS IN A FINITE FIELD. (1955) (0)
- Bachmann on Fermat's Last Theorem (1921) (0)
- A Problem Connected with Mersenne's Numbers (1902) (0)
- NEWV OF TRIIVOMIAL CONVGRUENCE CRITERIA APPLYING TO FERA11 THEOREM (0)
- Proof of a property of the norm of a cyclotomic integer (1919) (0)
- On the Use of the Equivalence Symbol and Parentheses Symbols in Associative Distributive Algebra (1959) (0)
- On the Least Multiple of an Integer Expressible as a Definite Quadratic Form (1927) (0)
- Algebra: 119-120 (1900) (0)
- The Ring of Residue Classes Modulo m (1958) (0)
- New Types of Relations in Finite Field Theory (Second Paper). (1945) (0)
- Number Theory and Diophantine Analysis: 149-150 (1907) (0)
- ON THE DIVISORS OF THE SECOND FACTOR OF THE CLASS NUMBER OF A CYCLOTOMIC FIELD. (1955) (0)
- Miscellaneous: 102-104 (1901) (0)
- Errata: “On Fermat’s last theorem” [Trans.\ Amer.\ Math.\ Soc. 31 (1929), no. 4, 613–642; 1501503] (1931) (0)
- Applications of Cyclotomy to the Theory of Non-Homogeneous Equations in a Finite Field. (1948) (0)
- On power characters in cyclotomic fields (1934) (0)
- On Formal Exponential Differentiation in Rings. (1942) (0)
- Note on Solution 1. of Problem 131 (1902) (0)
- MATHEMATICS : HUA AND VANDIVER We wish (0)
- The Multiplicative Group ${\underset{\smile}{\mathscr{P}}m$ of Residue Classes $C_a$ Modulo $m; (a, m) = 1$ (1958) (0)
- Note on Fermats last theorem (0)
- An Algorithm for Transforming Kummer Criteria in Connection with Fermat's Last Theorem (0)
- Semigroups with a Unique Basis, and Primes (1958) (0)
- Diophantine Analysis: 89-90 (1901) (0)
- Diophantine Analysis: 102-103 (1902) (0)
- Certain Congruence Criteria Connected with Fermat's Last Theorem. (1942) (0)
- The Semiring Formed by Certain Generalized Residue Classes (1958) (0)
- ON THE USE OF ABSTRACT ALGEBRA AS A METHOD FOR OBTAINING RESULTS INVOLVING RATIONAL INTEGERS ONLY AND THE REVERSE OF THIS PROCEDURE. (1960) (0)
- On the Concept of Co-Sets in a Semi-Group. (1937) (0)
- Bernoulli's Numbers and Certain Arithmetic Quotient Functions. (1945) (0)
- SOME ASPECTS OF THE FERMAT PROBLEM (SECOND PAPER). (1961) (0)
- SUMMARY OF RESULTS AND PROOF CONCERNING FERMAT'S LAST THEOREM (THIRD PAPER). (1929) (0)
- Note on some results concerning Fermat's last theorem (1922) (0)
- NEWV TYPES OF TRIIVOMIAL CONVGRUENCE CRITERIA APPLYING TO FERA11 THEOREM (0)
- Methods for finding factors of large integers (1924) (0)
- Diophantine Analysis: 104-105 (1902) (0)
- Discussions: An Extension of the Bernoulli Summation Formula (0)
- SOME ASPECTS OF THE FERMAT PROBLEM (FOURTH PAPER). (1961) (0)
- DIOPHANTINE EQUATIONS IN CERTAIN RINGS. (1956) (0)
- Number Theory and Diophantine Analysis: 160-162 (1909) (0)
- Cyclotomic Power Characters and Trinomial Equations in a Finite Field. (1948) (0)
- On Some Special Arithmetic Congruences (1904) (0)
- On sets of three consecutive integers which are quadratic or cubic residues of primes (0)
- On Trinomial Congruences and Fermat's Last Theorem. (1944) (0)
- Supplement to an Article Entitled “On the use of the Equivalence Symbol and Parentheses Symbols in Associative Distributive Algebra” (1963) (0)
- Number Theory and Diophantine Analysis: 181-182,148,153,157,161,162,166, 167 (1911) (0)
- Note on the distribution of quadratic residues (1916) (0)
- Miscellaneous: 131-134 (1903) (0)
- On the Use of Indeterminates in the Theory of Exponential Sums. (1949) (0)
- Diophantine Analysis: 116-117 (1903) (0)
- On Analogues of the Bernoulli and Allied Numbers. (1939) (0)
- The Additive Group of the Ring of Residue Class Modulo m (1958) (0)
- On a Theorem of Kummer's Concerning Power Characters of Units in a Cyclotomic Field (0)
- Geometry: 195-196 (0)
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