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A “Four Integers” Theorem and a “Five Integers” Theorem

The American mathematical monthly, 2015-06, Vol.122 (6), p.528-536

Williams, Kenneth S

2015

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An Arithmetic Proof of a Theorem of Chan, Long, and Yang

The American mathematical monthly, 2023-09, Vol.ahead-of-print (ahead-of-print), p.1-4

Williams, Kenneth S.

2023

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Using the Girard-Newton-Waring Formula to Evaluate Trigonometric Sums: A Blast from the Past

The College mathematics journal, 2024-11, Vol.55 (5), p.1-12

Williams, Kenneth S.

2024

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Number Theory in the Spirit of Liouville

Williams, Kenneth S.

1, 2010

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The Parents of Jacobi’s Four Squares Theorem Are Unique

The American mathematical monthly, 2013-04, Vol.120 (4), p.329-345

Williams, Kenneth S

2013

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AN APPLICATION OF BINARY QUADRATIC FORMS OF DISCRIMINANT $\boldsymbol {-31}$ TO MODULAR FORMS

Bulletin of the Australian Mathematical Society, 2022-10, Vol.106 (2), p.269-272

2022

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Extensions of an identity of Chan and Cooper in the spirit of Ramanujan

The Ramanujan journal, 2024-10, Vol.65 (2), p.533-572

2024

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Infinite product representations of some q-series

The Ramanujan journal, 2024-03, Vol.63 (3), p.839-872

2024

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Introductory Algebraic Number Theory

1, 2003

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Some arithmetic convolution identities

The Ramanujan journal, 2017-05, Vol.43 (1), p.197-213

Williams, Kenneth S.

2017

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Advances in the Theory of Numbers: Proceedings of the Thirteenth Conference of the Canadian Number Theory Association

1, 2015

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Historical remark on a theorem of Zhang and Yue

Journal of number theory, 2015-02, Vol.147, p.691-693

Williams, Kenneth S.

2015

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The Many Sides of the Pythagorean Theorem

The College mathematics journal, 2019-05, Vol.50 (3), p.162-172

2019

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Historical Remark on Ramanujan's Tau Function

The American mathematical monthly, 2015-01, Vol.122 (1), p.30

Williams, Kenneth S

2015

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Congruences for L-Functions

1, 2000

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Lifting monogenic cubic fields to monogenic sextic fields

Kodai mathematical journal, 2011, Vol.34 (3), p.410-425

2011

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Representation numbers of certain quaternary quadratic forms in a genus consisting of a single class

International journal of number theory, 2016-09, Vol.12 (6), p.1529-1573

2016

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Infinite products with coefficients which vanish on certain arithmetic progressions

International journal of number theory, 2017-06, Vol.13 (5), p.1095-1117

2017

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Analogues of Ramanujan's 24 squares formula

International journal of number theory, 2014-08, Vol.10 (5), p.1099-1119

2014

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On the number of representations of a positive integer as a sum of two binary quadratic forms

International journal of number theory, 2014-09, Vol.10 (6), p.1395-1420

2014

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Quartic residuacity and the quadratic character of certain quadratic irrationalities

International journal of number theory, 2015-12, Vol.11 (8), p.2487-2503

2015

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The number of representations of a positive integer by certain octonary quadratic forms

Functiones et approximatio commentarii mathematici, 2010-09, Vol.43 (1), p.45-54

2010

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PSL(2, 5) sextic fields with a power basis

Kodai mathematical journal, 2006, Vol.29 (1), p.5-12

2006

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Some arithmetic identities involving divisor functions

Functiones et approximatio commentarii mathematici, 2012-06, Vol.46 (2), p.261-271

2012

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EULER PRODUCTS IN RAMANUJAN'S LOST NOTEBOOK

International journal of number theory, 2013-08, Vol.9 (5), p.1313-1349

2013

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A “Four Integers” Theorem and a “Five Integers” Theorem

An Arithmetic Proof of a Theorem of Chan, Long, and Yang

Using the Girard-Newton-Waring Formula to Evaluate Trigonometric Sums: A Blast from the Past

Number Theory in the Spirit of Liouville

The Parents of Jacobi’s Four Squares Theorem Are Unique

AN APPLICATION OF BINARY QUADRATIC FORMS OF DISCRIMINANT $\boldsymbol {-31}$ TO MODULAR FORMS

Extensions of an identity of Chan and Cooper in the spirit of Ramanujan

Infinite product representations of some q-series

Introductory Algebraic Number Theory

Some arithmetic convolution identities

Advances in the Theory of Numbers: Proceedings of the Thirteenth Conference of the Canadian Number Theory Association

Historical remark on a theorem of Zhang and Yue

The Many Sides of the Pythagorean Theorem

Historical Remark on Ramanujan's Tau Function

Congruences for L-Functions

Lifting monogenic cubic fields to monogenic sextic fields

Representation numbers of certain quaternary quadratic forms in a genus consisting of a single class

Infinite products with coefficients which vanish on certain arithmetic progressions

Analogues of Ramanujan's 24 squares formula

On the number of representations of a positive integer as a sum of two binary quadratic forms

Quartic residuacity and the quadratic character of certain quadratic irrationalities

The number of representations of a positive integer by certain octonary quadratic forms

PSL(2, 5) sextic fields with a power basis

Some arithmetic identities involving divisor functions

EULER PRODUCTS IN RAMANUJAN'S LOST NOTEBOOK

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