Abstract
In this paper, we will prove that for every prime $p \equiv 1 \pmod{4}$, $E_{(p-1)/2} \not\equiv 0 \pmod{p}$.
Citation
Pingzhi Yuan. "A conjecture on Euler numbers." Proc. Japan Acad. Ser. A Math. Sci. 80 (9) 180 - 181, Nov. 2004. https://doi.org/10.3792/pjaa.80.180
Information
Published: Nov. 2004
First available in Project Euclid: 18 May 2005
zbMATH: 1080.11018
MathSciNet: MR2104419
Digital Object Identifier: 10.3792/pjaa.80.180
Subjects:
Primary:
11B68
Keywords:
class numbers
,
congruences
,
Euler numbers
Rights: Copyright © 2004 The Japan Academy
