q-Analogs of the binomial coefficient congruences of Babbage, Wolstenholme and Glaisher 1

George E. Andrews

doi:10.1016/S0012-365X(98)00364-1

q-Analogs of the binomial coefficient congruences of Babbage, Wolstenholme and Glaisher 1

George E. Andrews

Mathematics

Research output: Contribution to journal › Article › peer-review

57 Scopus citations

Abstract

The object of this paper is to provide q-analogs of several classical binomial coefficient congruences due to Babbage, Wolstenholme and Glaisher. The q-analogs turn out to be succinct and unexpected.

Original language	English (US)
Pages (from-to)	15-25
Number of pages	11
Journal	Discrete Mathematics
Volume	204
Issue number	1-3
DOIs	https://doi.org/10.1016/S0012-365X(98)00364-1
State	Published - Jun 6 1999

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/S0012-365X(98)00364-1

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title = "q-Analogs of the binomial coefficient congruences of Babbage, Wolstenholme and Glaisher 1",

abstract = "The object of this paper is to provide q-analogs of several classical binomial coefficient congruences due to Babbage, Wolstenholme and Glaisher. The q-analogs turn out to be succinct and unexpected.",

author = "Andrews, \{George E.\}",

note = "Funding Information: * E-mail: [email protected]. l Partially supported by National Science Foundation Grant DMS-9501101",

year = "1999",

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doi = "10.1016/S0012-365X(98)00364-1",

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AU - Andrews, George E.

N1 - Funding Information: * E-mail: [email protected]. l Partially supported by National Science Foundation Grant DMS-9501101

PY - 1999/6/6

Y1 - 1999/6/6

N2 - The object of this paper is to provide q-analogs of several classical binomial coefficient congruences due to Babbage, Wolstenholme and Glaisher. The q-analogs turn out to be succinct and unexpected.

AB - The object of this paper is to provide q-analogs of several classical binomial coefficient congruences due to Babbage, Wolstenholme and Glaisher. The q-analogs turn out to be succinct and unexpected.

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JO - Discrete Mathematics

JF - Discrete Mathematics

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q-Analogs of the binomial coefficient congruences of Babbage, Wolstenholme and Glaisher 1

Abstract

All Science Journal Classification (ASJC) codes

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