On the congruences of Euler numbers and the differential coefficients of trigonometric functions with respect to a prime modulus.
type: Item
instance of: scholarly article
title: On the congruences of Euler numbers and the differential coefficients of trigonometric functions with respect to a prime modulus.
zbMATH Open document ID: 10.0139.04
publication date: 1878-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/85393
review text: Die Euler'schen Zahlen, für welche die symbolische Gleichung \[ (E+1)^n +(E-1)^n=0 \] besteht, haben die Eigenschaften \[ E_{p-1}+E_{p-3}+E_{p-5}+ \cdots E_2+E_0\equiv 0 \quad \text{(mod. \(p\))} \] \[ E_{2n}\equiv E_{2n+k(p-1)} \quad \text{(mod. \(p\)).} \]
Mathematics Subject Classification ID: 11B68
zbMATH DE Number: 2710868
zbMATH Keywords: Euler numbers
author: Éd. Lucas
MaRDI profile type: Publication
OpenAlex ID: W2584663318
DOI: 10.24033/BSMF.127
published in: Bulletin de la Société mathématique de France
description: scientific article; zbMATH DE number 2710868