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

55 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

Access to Document

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

Cite this

@article{57538f5785ee41dc9e6001f93721438a,

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",

month = jun,

day = "6",

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

language = "English (US)",

volume = "204",

pages = "15--25",

journal = "Discrete Mathematics",

issn = "0012-365X",

publisher = "Elsevier B.V.",

number = "1-3",

}

TY - JOUR

T1 - q-Analogs of the binomial coefficient congruences of Babbage, Wolstenholme and Glaisher 1

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.

UR - https://www.scopus.com/pages/publications/0013075220

UR - https://www.scopus.com/inward/citedby.url?scp=0013075220&partnerID=8YFLogxK

U2 - 10.1016/S0012-365X(98)00364-1

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

M3 - Article

AN - SCOPUS:0013075220

SN - 0012-365X

VL - 204

SP - 15

EP - 25

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 1-3

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this