Divisibility properties of the q-tangent numbers

George E. Andrews; Ira Gessel

doi:10.1090/S0002-9939-1978-0462960-0

Divisibility properties of the q-tangent numbers

George E. Andrews, Ira Gessel

Mathematics

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

25 Scopus citations

Abstract

The q-tangent number T2n+1(q) is shown to be divisible by (1 + q)(1 + q²) … (1 + qⁿ). Related divisibility questions are discussed.

Original language	English (US)
Pages (from-to)	380-384
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	68
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-1978-0462960-0
State	Published - Mar 1978

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1978-0462960-0

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title = "Divisibility properties of the q-tangent numbers",

abstract = "The q-tangent number T2n+1(q) is shown to be divisible by (1 + q)(1 + q2) … (1 + qn). Related divisibility questions are discussed.",

author = "Andrews, \{George E.\} and Ira Gessel",

year = "1978",

month = mar,

doi = "10.1090/S0002-9939-1978-0462960-0",

language = "English (US)",

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journal = "Proceedings of the American Mathematical Society",

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AU - Andrews, George E.

AU - Gessel, Ira

PY - 1978/3

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AB - The q-tangent number T2n+1(q) is shown to be divisible by (1 + q)(1 + q2) … (1 + qn). Related divisibility questions are discussed.

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EP - 384

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 3

ER -

Divisibility properties of the q-tangent numbers

Abstract

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