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CONGRUENCES FOR EULER, BERNOULLI, AND SPRINGER NUMBERS OF COXETER GROUPS: Congruences for Euler, Bernoulli, and Springer numbers of Coxeter groups

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Bibliographic Details
Title:	CONGRUENCES FOR EULER, BERNOULLI, AND SPRINGER NUMBERS OF COXETER GROUPS: Congruences for Euler, Bernoulli, and Springer numbers of Coxeter groups
Authors:	V I Arnol'd
Source:	Russian Academy of Sciences. Izvestiya Mathematics. 41:389-393
Publisher Information:	Steklov Mathematical Institute, 1993.
Publication Year:	1993
Subject Terms:	Reflection and Coxeter groups (group-theoretic aspects), sums of exponentials, Euler- Bernoulli triangles, tangent numbers, Congruences, primitive roots, residue systems, 0101 mathematics, Bernoulli and Euler numbers and polynomials, generalized Euler numbers, 01 natural sciences
Description:	Summary: The classical and generalized Euler numbers, reduced with respect to an odd modulus, are represented as sums of exponentials. From this representation there follow congruences modulo powers of an odd prime \(p\) between elements of the Euler-Bernoulli triangles and the values of certain polynomials in two variables on sublattices with step \(p-1\).
Document Type:	Article
File Description:	application/xml
ISSN:	1064-5632
DOI:	10.1070/im1993v041n02abeh002268
Access URL:	https://iopscience.iop.org/article/10.1070/IM1993v041n02ABEH002268/meta https://iopscience.iop.org/1468-4810/41/2/A12 https://ui.adsabs.harvard.edu/abs/1993IzMat..41..389A/abstract http://iopscience.iop.org/article/10.1070/IM1993v041n02ABEH002268/pdf
Accession Number:	edsair.doi.dedup.....a07c1f6ae087b27c108c346c62488161
Database:	OpenAIRE

Description
Abstract:	Summary: The classical and generalized Euler numbers, reduced with respect to an odd modulus, are represented as sums of exponentials. From this representation there follow congruences modulo powers of an odd prime \(p\) between elements of the Euler-Bernoulli triangles and the values of certain polynomials in two variables on sublattices with step \(p-1\).
ISSN:	10645632
DOI:	10.1070/im1993v041n02abeh002268