Congruences for the q-secant Numbers

George E. Andrews; Dominique Foata

doi:10.1016/S0195-6698(80)80027-8

Congruences for the q-secant Numbers

George E. Andrews, Dominique Foata

Mathematics

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

17 Scopus citations

Abstract

The q-secant number E_2n (q) is shown to be congruent to _q_2n(n-1) (its term of highest degree) mod(q + 1)2 by using the combinatorial set-up of alternating permutations.

Original language	English (US)
Pages (from-to)	283-287
Number of pages	5
Journal	European Journal of Combinatorics
Volume	1
Issue number	4
DOIs	https://doi.org/10.1016/S0195-6698(80)80027-8
State	Published - 1980

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics

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10.1016/S0195-6698(80)80027-8

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title = "Congruences for the q-secant Numbers",

abstract = "The q-secant number E2n (q) is shown to be congruent to q2n(n-1) (its term of highest degree) mod(q + 1)2 by using the combinatorial set-up of alternating permutations.",

author = "Andrews, {George E.} and Dominique Foata",

year = "1980",

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T1 - Congruences for the q-secant Numbers

AU - Andrews, George E.

AU - Foata, Dominique

PY - 1980

Y1 - 1980

N2 - The q-secant number E2n (q) is shown to be congruent to q2n(n-1) (its term of highest degree) mod(q + 1)2 by using the combinatorial set-up of alternating permutations.

AB - The q-secant number E2n (q) is shown to be congruent to q2n(n-1) (its term of highest degree) mod(q + 1)2 by using the combinatorial set-up of alternating permutations.

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U2 - 10.1016/S0195-6698(80)80027-8

DO - 10.1016/S0195-6698(80)80027-8

M3 - Article

AN - SCOPUS:0042312368

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EP - 287

JO - European Journal of Combinatorics

JF - European Journal of Combinatorics

IS - 4

ER -

Congruences for the q-secant Numbers

Abstract

All Science Journal Classification (ASJC) codes

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