Generalized Frobenius Partitions

Generalized Frobenius Partitions
Author: George E. Andrews
Publisher: American Mathematical Soc.
Total Pages: 50
Release: 1984
Genre: Mathematics
ISBN: 0821823027


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This paper is devoted to the study of equilength two-line arrays of non-negative integers. These are called generalized Frobenius partitions. It is shown that such objects have numerous interactions with modular forms, Kloosterman quadratic forms, the Lusztig-Macdonald-Wall conjectures as well as with classical theta functions and additive number theory.


Generalized Frobenius Partitions
Language: en
Pages: 50
Authors: George E. Andrews
Categories: Mathematics
Type: BOOK - Published: 1984 - Publisher: American Mathematical Soc.

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This paper is devoted to the study of equilength two-line arrays of non-negative integers. These are called generalized Frobenius partitions. It is shown that s
Q-series
Language: en
Pages: 146
Authors: George E. Andrews
Categories: Mathematics
Type: BOOK - Published: 1986-01-01 - Publisher: American Mathematical Soc.

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An Introduction to q-analysis
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Authors: Warren P. Johnson
Categories: Education
Type: BOOK - Published: 2020-10-06 - Publisher: American Mathematical Soc.

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Starting from simple generalizations of factorials and binomial coefficients, this book gives a friendly and accessible introduction to q q-analysis, a subje
Analytic Number Theory, Modular Forms and q-Hypergeometric Series
Language: en
Pages: 764
Authors: George E. Andrews
Categories: Mathematics
Type: BOOK - Published: 2018-02-01 - Publisher: Springer

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Gathered from the 2016 Gainesville Number Theory Conference honoring Krishna Alladi on his 60th birthday, these proceedings present recent research in number th
Basic Hypergeometric Series and Applications
Language: en
Pages: 142
Authors: Nathan Jacob Fine
Categories: Mathematics
Type: BOOK - Published: 1988 - Publisher: American Mathematical Soc.

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The theory of partitions, founded by Euler, has led in a natural way to the idea of basic hypergeometric series, also known as Eulerian series. These series wer