Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
H. S. Vandiver - MaRDI portal

H. S. Vandiver

From MaRDI portal
Person:563621

Available identifiers

zbMath Open vandiver.harry-schultzWikidataQ931209 ScholiaQ931209MaRDI QIDQ563621

List of research outcomes

PublicationDate of PublicationType
SOME ASPECTS OF THE FERMAT PROBLEM (FOURTH PAPER)1963-01-01Paper
Some of my recollections of George David Birkhoff1963-01-01Paper
https://portal.mardi4nfdi.de/entity/Q32820371961-01-01Paper
https://portal.mardi4nfdi.de/entity/Q32881911961-01-01Paper
ON THE USE OF ABSTRACT ALGEBRA AS A METHOD FOR OBTAINING RESULTS INVOLVING RATIONAL INTEGERS ONLY AND THE REVERSE OF THIS PROCEDURE1960-01-01Paper
ON DISTRIBUTION PROBLEMS INVOLVING THE NUMBERS OF SOLUTIONS OF CERTAIN TRINOMIAL CONGRUENCES1959-01-01Paper
On Conditional Fractional Equations in a Field, Involving One Unknown1959-01-01Paper
On the Use of the Equivalence Symbol and Parentheses Symbols in Associative Distributive Algebra1959-01-01Paper
THE RAPID COMPUTING MACHINE AS AN INSTRUMENT IN THE DISCOVERY OF NEW RELATIONS IN THE THEORY OF NUMBERS1958-01-01Paper
SUPPLEMENT TO A PAPER ENTITLED “A VON STERNECK ARITHMETICAL FUNCTION AND RESTRICTED PARTITIONS WITH RESPECT TO A MODULUS”1958-01-01Paper
The Teaching of Concrete Mathematics1958-01-01Paper
A Development of Associative Algebra and an Algebraic Theory of Numbers, IV1956-01-01Paper
DIOPHANTINE EQUATIONS IN CERTAIN RINGS1956-01-01Paper
ON DIOPHANTINE EQUATIONS WHICH HAVE NO SOLUTIONS1956-01-01Paper
https://portal.mardi4nfdi.de/entity/Q32333161956-01-01Paper
A Development of Associative Algebra and an Algebraic Theory of Numbers, III1956-01-01Paper
https://portal.mardi4nfdi.de/entity/Q58482851955-01-01Paper
ON THE PROPERTIES OF CERTAIN TRINOMIAL EQUATIONS IN A FINITE FIELD1955-01-01Paper
RELATION OF THE THEORY OF CERTAIN TRINOMIAL EQUATIONS IN A FINITE FIELD TO FERMAT'S LAST THEOREM1955-01-01Paper
ON CYCLOTOMIC RELATIONS AND TRINOMIAL EQUATIONS IN A FINITE FIELD1955-01-01Paper
PROOF OF FERMAT'S LAST THEOREM FOR ALL PRIME EXPONENTS LESS THAN 40021955-01-01Paper
https://portal.mardi4nfdi.de/entity/Q58505891955-01-01Paper
ON THE DIVISORS OF THE SECOND FACTOR OF THE CLASS NUMBER OF A CYCLOTOMIC FIELD1955-01-01Paper
AN APPLICATION OF HIGH-SPEED COMPUTING TO FERMAT'S LAST THEOREM1954-01-01Paper
A VON STERNECK ARITHMETICAL FUNCTION AND RESTRICTED PARTITIONS WITH RESPECT TO A MODULUS1954-01-01Paper
NEW TYPES OF TRINOMIAL CONGRUENCE CRITERIA APPLYING TO FERMAT'S LAST THEOREM1954-01-01Paper
THE RELATION OF SOME DATA OBTAINED FROM RAPID COMPUTING MACHINES TO THE THEORY OF CYCLOTOMIC FIELDS1954-01-01Paper
EXAMINATION OF METHODS OF ATTACK ON THE SECOND CASE OF FERMAT'S LAST THEOREM1954-01-01Paper
ON TRINOMIAL EQUATIONS IN A FINITE FIELD1954-01-01Paper
https://portal.mardi4nfdi.de/entity/Q58173761953-01-01Paper
A Supplementary Note to a 1946 Article on Fermat's Last Theorem1953-01-01Paper
A Development of Associative Algebra and an Algebraic Theory of Numbers, II1953-01-01Paper
On a New Problem Concerning Trinomial Congruences Involving Rational Integers1953-01-01Paper
On Cyclotomy and Extensions of Gaussian Type Quadratic Relations Involving Numbers of Solutions of Conditional Equations in Finite Fields1952-01-01Paper
On Certain Diophantine Equations in Rings and Fields1952-01-01Paper
A Development of Associative Algebra and an Algebraic Theory of Numbers, I1952-01-01Paper
A Development of Associative Algebra and an Algebraic Theory of Numbers, I1952-01-01Paper
On Multiplicative Properties of a Generalized Jacobi-Cauchy Cyclotomic Sum1950-01-01Paper
On a Generalization of a Jacobi Exponential Sum Associated with Cyclotomy1950-01-01Paper
On the Use of Indeterminates in the Theory of Exponential Sums1949-01-01Paper
Characters over Certain Types of Rings with Applications to the Theory of Equations in a Finite Field1949-01-01Paper
On Congruences which relate the Fermat and Wilson Quotients to the Bernoulli Numbers1949-01-01Paper
On the Nature of the Solutions of Certain Equations in a Finite Field1949-01-01Paper
On the Number of Solutions of Some Trinomial Equations in a Finite Field1949-01-01Paper
Quadratic Relations Involving the Numbers of Solutions of Certain Types of Equations in a Finite Field1949-01-01Paper
Applications of Cyclotomy to the Theory of Non-Homogeneous Equations in a Finite Field1948-01-01Paper
New Types of Congruences Involving Bernoulli Numbers and Fermat's Quotient1948-01-01Paper
On the Existence of Solutions of Certain Equations in a Finite Field1948-01-01Paper
Cyclotomic Power Characters and Trinomial Equations in a Finite Field1948-01-01Paper
Limits for the Number of Solutions of Certain General Types of Equations in a Finite Field1947-01-01Paper
On a \(p\)-adic representation of rings and Abelian groups1947-01-01Paper
On the Number of Solutions of Some General Types of Equations in a Finite Field1946-01-01Paper
On Classes of Diophantine Equations of Higher Degrees Which Have No Solutions1946-01-01Paper
Cyclotomy and Trinomial Equations in a Finite Field1946-01-01Paper
On Some Special Trinomial Equations in a Finite Field1946-01-01Paper
Fermat's Last Theorem: Its History and the Nature of the Known Results Concerning It1946-01-01Paper
New Types of Relations in Finite Field Theory1945-01-01Paper
Fermat's Quotient and Related Arithmetic Functions1945-01-01Paper
On the Number of Solutions of Certain Non-Homogeneous Trinomial Equations in a Finite Field1945-01-01Paper
New Types of Relations in Finite Field Theory (Second Paper)1945-01-01Paper
Bernoulli's Numbers and Certain Arithmetic Quotient Functions1945-01-01Paper
Some Theorems in Finite Field Theory with Applications to Fermat's Last Theorem1944-01-01Paper
On Trinomial Congruences and Fermat's Last Theorem1944-01-01Paper
An Arithmetical Theory of the Bernoulli Numbers1942-01-01Paper
On Formal Exponential Differentiation in Rings1942-01-01Paper
Certain Congruence Criteria Connected with Fermat's Last Theorem1942-01-01Paper
An Arithmetical Theory of the Bernoulli Numbers1942-01-01Paper
General Congruences Involving the Bernoulli Numbers1942-01-01Paper
On Improperly Irregular Cyclotomic Fields1941-01-01Paper
Simple explicit expressions for generalized Bernoulli numbers of the first order.1941-01-01Paper
Simple explicit expressions for generalized Bernoulli numbers of the first order1941-01-01Paper
On the Imbedding of One Semi-Group in Another, with Application to Semi-Rings1940-01-01Paper
Note on Euler Number Criteria for the First Case of Fermat's Last Theorem1940-01-01Paper
On general methods for obtaining congruences involving Bernoulli numbers1940-01-01Paper
https://portal.mardi4nfdi.de/entity/Q57772771940-01-01Paper
The elements of a theory of abstract discrete semigroups.1940-01-01Paper
On the imbedding of one semi-group in another, with application to semi-rings.1940-01-01Paper
On general methods for obtaining congruences involving Bernoulli numbers.1940-01-01Paper
Note on Euler number criteria for the first case of Fermat's last theorem.1940-01-01Paper
On Some Simple Types of Semi-Rings1939-01-01Paper
On Analogues of the Bernoulli and Allied Numbers1939-01-01Paper
On the composition of the group of ideal classes in a properly irregular cyclotomic field1939-01-01Paper
On Basis Systems for Groups of Ideal Classes in a Properly Irregular Cyclotomic Field1939-01-01Paper
On some simple types of semi-rings.1939-01-01Paper
On the composition of the group of ideal classes in a properly irregular cyclotomic field.1939-01-01Paper
On basis systems for groups of ideal classes in a properly irregular cyclotomic field.1939-01-01Paper
Certain congruences involving the Bernoulli numbers.1939-01-01Paper
On analogues of the Bernoulli and allied numbers.1939-01-01Paper
On Bernoulli's numbers and Fermat's last theorem. II.1939-01-01Paper
On Bernoulli's numbers and Fermat's last theorem. II1939-01-01Paper
Certain congruences involving the Bernoulli numbers1939-01-01Paper
On Criteria Concerning Singular Integers in Cyclotomic Fields1938-01-01Paper
On Congruences Involving Sums of Products of Binomial Coefficients1938-01-01Paper
On congruences involving sums of products of binomial coefficients.1938-01-01Paper
On criteria concerning singular integers in cyclotomic fields.1938-01-01Paper
Note on a certain ring-congruence1937-01-01Paper
On Generations of the Numbers of Bernoulli and Euler1937-01-01Paper
On the Concept of Co-Sets in a Semi-Group1937-01-01Paper
On the concept of co-sets in a semi-group.1937-01-01Paper
Note on a certain ring-congruence.1937-01-01Paper
On generalizations of the numbers of Bernoulli and Euler.1937-01-01Paper
On Bernoulli's numbers and Fermat's last theorem.1937-01-01Paper
On Bernoulli's numbers and Fermat's last theorem1937-01-01Paper
On trinomial diophantine equations connected with the fermat relation1936-01-01Paper
Note on an associative distributive algebra in which the commutative law of addition does not hold1936-01-01Paper
On trinomial diophantine equations connected with the Fermat relation.1936-01-01Paper
Note on an associative distributive algebra in which the commutative law of addition does not hold.1936-01-01Paper
Constructive derivation of the decomposition-field of a polynomial.1936-01-01Paper
On the ordering of real algebraic numbers by construc\-tive methods.1936-01-01Paper
Constructive derivation of the decomposition-field of a polynomial1936-01-01Paper
On the ordering of real algebraic numbers by constructive methods1936-01-01Paper
On the Foundation of a Constructive Theory of Discrete Commutative Algebra (Second Paper)1935-01-01Paper
On the foundations of a constructive theory of discrete commutative algebra. II.1935-01-01Paper
On power characters in cyclotomic fields1934-01-01Paper
Fermat’s last theorem and the second factor in the cyclotomic class number1934-01-01Paper
On the Foundations of a Constructive Theory of Discrete Commutative Algebra1934-01-01Paper
A note on units in super-cyclic fields1934-01-01Paper
On the Foundations of a Constructive Theory of Discrete Commutative Algebra1934-01-01Paper
Note on a simple type of algebra in which the cancellation law of addition does not hold1934-01-01Paper
On power characters in cyclotomic fields.1934-01-01Paper
Fermat's last theorem and the second factor in the cyclotomic class number.1934-01-01Paper
On the foundations of a constructive theory of discrete commutative algebra.1934-01-01Paper
Note on a simple type of algebra in which the cancellation law of addition does not hold.1934-01-01Paper
A note on units in super-cyclic fields.1934-01-01Paper
On algebraic rings and Abelian groups.1933-01-01Paper
Summary of results and proofs of Fermat's last theorem. VII.1933-01-01Paper
Note on the Divisors of the Numerators of Bernoulli's Numbers1932-01-01Paper
Note on the divisors of the numerators of Bernoulli's numbers.1932-01-01Paper
On the method of infinite descent in connection with Fermat's last theorem for regular exponents.1932-01-01Paper
On the method of infinite descent in connection with Fermat's last theorem for regular prime exponents1932-01-01Paper
Summary of Results and Proofs on Fermat's Last Theorem. (Sixth Paper)1931-01-01Paper
On the second factor of the class number of a cyclotomic field.1931-01-01Paper
On the norm-residue symbol in the theory of cyclotomic fields.1931-01-01Paper
Summary of results and proofs of Fermat's last theorem. VI.1931-01-01Paper
Summary of results and proofs of Fermat's last theorem. VI.1931-01-01Paper
On the method of infinite descent and Fermat's last theorem for regular prime exponents.1931-01-01Paper
On power characters of singular integers in a properly irregular cyclotomic field.1930-01-01Paper
Some properties of a certain system of independent units in a cyclotomic field.1930-01-01Paper
A new theory of the representation of integers as definite quadratic forms.1930-01-01Paper
On the second factor of the class number of a cyclotomic field.1930-01-01Paper
Determination of some properly irregular cyclotomic fields.1930-01-01Paper
On the norm-residue symbol in the theory of cyclotomic fields.1930-01-01Paper
Summary of results and proofs on Fermat's last theorem. V.1930-01-01Paper
On Fermat's last theorem.1929-01-01Paper
Some theorems concerning properly irregular cyclotomic fields.1929-01-01Paper
On the first case of Fermat's last theorem.1929-01-01Paper
On Fermat's last theorem.1929-01-01Paper
Determination of some properly irregular cyclotomic fields.1929-01-01Paper
On power characters of singular integers in a properly irregular cyclotomic field.1929-01-01Paper
Some properties of a certain system of independent units in a cyclotomic field.1929-01-01Paper
Some theorems concerning properly irregular cyclotomic fields.1929-01-01Paper
On the first case of Fermat's last theorem.1929-01-01Paper
An extension of the Bernoulli summation formula.1929-01-01Paper
Algorithms for the solution of the quadratic congruence.1929-01-01Paper
Summary of results and proofs concerning Fermat's last theorem. III.1929-01-01Paper
Summary of results and proofs on Fermat's last theorem. IV.1929-01-01Paper
Summary of results and proofs of Fermat's last theorem.1929-01-01Paper
On a theorem of Kummer's concerning power characters of units in a cyclotomic field.1929-01-01Paper
A theorem of Kummer's concerning the second factor of the class number of a cyclotomic field.1929-01-01Paper
An algorithm for transforming Kummer criteria in connection with Fermat's last theorem.1929-01-01Paper
On the composition of the classgroup of ideals in an irregular cyclomtomic field.1929-01-01Paper
An algorithm for transforming the Kummer criteria in connection with Fermat's last theorem.1929-01-01Paper
On the first case of Fermat's last theorem.1928-01-01Paper
Algebraic numbers II.1928-01-01Paper
Application of the theory of relative cyclic fields to both cases of Fermat's last theorem.1927-01-01Paper
On the norm-residue symbol in the theory of cyclotomic fields.1927-01-01Paper
On an extension of the Bernoulli summation formula.1927-01-01Paper
The least multiple of an integer expressible as a definite quadratic form.1927-01-01Paper
Transformations of the Kummer criteria in connection with Fermat's last theorem. (Second paper).1927-01-01Paper
Application of algebraic number theory to congruences involving binomial coefficients.1927-01-01Paper
Applications of algebraic number theory to congruences involving binomial coefficients.1927-01-01Paper
On the theorem of Kummer concerning power characteristics of units in a cyclotomic field.1927-01-01Paper
Summary of results and proofs concerning Fermat's last theorem. (Third note.)1927-01-01Paper
A new theory of the representation of integers as definite quadratic forms.1926-01-01Paper
Summary of results and proofs concerning Fermat's last theorem.1926-01-01Paper
Application of the theory of relative cyclic fields to both cases of Fermat's last theorem.1926-01-01Paper
Laws of reciprocity and the first case of Fermat's last theorem.1926-01-01Paper
A criterion that a cubic equation has an integral root.1926-01-01Paper
Note on the condition that a cubic equation have an integral root.1926-01-01Paper
On the theory of finite rings.1926-01-01Paper
A necessary and sufficient condition that an integer be prime.1926-01-01Paper
On algorisms for the solution of the quadratic congruence.1926-01-01Paper
On the least multiple of an integer expressible as a definite quadratic form.1926-01-01Paper
Transfomation of the Kummer criteria in connection with Fermat's last theorem.1926-01-01Paper
Report on certain topics in the theory of algebraic numbers.1926-01-01Paper
Summary of results and proofs concerning Fermat's last theorem. II.1926-01-01Paper
Application of the theory of relative cyclic fields to both cases of Fermats last theorem.1926-01-01Paper
Application of the theory of relative cyclic fields to both cases of Fermat's last theorem. II.1926-01-01Paper
Summary of results and proofs concerning Fermat's last theorem.1925-01-01Paper
Laws of reciprocity and the first case of Fermat's last theorem.1925-01-01Paper
On the power characters of units in a cyclotomic field.1925-01-01Paper
Note on trinomial congruences and the first case of Fermat's last theorem.1925-01-01Paper
On sets of three consecutive integers which are quadratic or cubic residues of primes.1925-01-01Paper
On the distribution of quadratic and higher residues.1925-01-01Paper
A property of cyclotomic integers and its relation to Fermat's last theorem. II.1925-01-01Paper
Note on trinomial congruences and the first case of Fermat's last theorem.1925-01-01Paper
On methods for finding factors of large integers.1925-01-01Paper
On Kummer's memoir of 1857 concerning Fermat's last theorem.1924-01-01Paper
Sets of three consecutive integers which are quadratic or cubic residues of primes.1924-01-01Paper
Methods for finding factors of large integers.1924-01-01Paper
A new type of criteria for the first case of Fermat's last theorem.1924-01-01Paper
On algorithms for the solution of the linear congruence.1924-01-01Paper
A method for finding a factor of an integer of the form \(8n + 1\).1923-01-01Paper
A new type of criteria for the first case of Fermat's last theorem.1923-01-01Paper
Algebraic numbers. Report of the Committee on algebraic numbers. National Research Council. (Bull. of the Nat. Res. Concil, vol. 5, Part. 3.)1923-01-01Paper
On Kummer's memoir of 1857 concerning Fermat's last theorem.1922-01-01Paper
Note on some results concerning Fermat's last theorem.1922-01-01Paper
On quadratic congruences and the factorization of integers.1921-01-01Paper
Bachmann on Fermat's last theorem.1921-01-01Paper
On Kummer's memoir of 1857 concerning Fermat's last theorem.1920-01-01Paper
On the class number of the field \(\Omega (e^{2i\pi /p^n})\) and the second case of Fermat's last theorem.1920-01-01Paper
A property of cyclotomic integers and its relation to Fermat's last theorem.1919-01-01Paper
Proof of a property of the norm of a cyclotomic integer.1919-01-01Paper
On the first factor of the class number of a cyclotomic field.1919-01-01Paper
On transformations of the \textit{Kummer} criteria in connection with \textit{Fermat}'s last theorem. -- A property of cyclotomic integers and ist relation to \textit{Fermat}'s last theorem (third paper). -- On the first factor of the class number of a cyclotomic field. -- Proof of a property of the norm of a cyclotomic integer.1918-01-01Paper
On the power characters of units in a cyclotomic field.1917-01-01Paper
1. Note on the distribution of quadratic and higher power residues. 2. The generalized \textit{Lagrange} indeterminante congruence for a composite ideal modulus.1917-01-01Paper
Symmetric functions formed by systems of elements of a finite algebra and their connection with \textit{Fermat's} quotient and \textit{Bernoulli's} numbers.1917-01-01Paper
The generalized \textit{Lagrange} indeterminate congruence for a composite ideal modulus.1917-01-01Paper
Note on the distribution of quadratic residues.1916-01-01Paper
Symmetric function of systems of elements in a finite algebra and their connection with \textit{Fermat's} quotient and \textit{Bernoulli's} numbers (second paper).1916-01-01Paper
Note on the distribution of quatratic residues.1916-01-01Paper
An aspect of the linear congruence, with applications to the theory of \textit{Fermat}'s quotient.1915-01-01Paper
A property of cyclotomic integers and its relation to \textit{Fermat}'s last theorem. Second paper.1915-01-01Paper
An aspect of the linear congruence, with applications to the theory of \textit{Fermat}'s quotient.1915-01-01Paper
Note on \textit{Fermat}'s last theorem.1914-01-01Paper
Extension of the criteria of \textit{Wieferich} and \textit{Mirimanoff} in connection with \textit{Fermat}'s last theorem.1914-01-01Paper
An aspect of the linear congruence, with applications to the theory of Fermat's quotient.1914-01-01Paper
Extension of the criteria of \textit{Wieferich} and \textit{Mirimanoff} in connection with \textit{Fermat}'s last theorem.1914-01-01Paper
On \textit{Bernoulli}'s numbers, \textit{Fermat}'s quotient and last theorem.1914-01-01Paper
Symmetric functions formed by certain systems of elements of a finite algebra, and their connection with Fermat's quotient and Bernoulli's numbers.1913-01-01Paper
Theory of finite algebras.1912-01-01Paper
Theory of finite algebras.1912-01-01Paper
On the integral divisors of \(a^n - b^n\)1904-01-01Paper
Applications of a theorem regarding circulants.1902-01-01Paper
A problem connected with \textit{Mersenne}'s numbers.1902-01-01Paper

Research outcomes over time


Doctoral students

No records found.


Known relations from the MaRDI Knowledge Graph

PropertyValue
MaRDI profile typeMaRDI person profile
instance ofhuman


This page was built for person: H. S. Vandiver