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Powers of the Euler Class

โœ Scribed by Solomon Jekel


Book ID
113421872
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
284 KB
Volume
229
Category
Article
ISSN
0001-8708

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


The norm of the Euler class
โœ Michelle Bucher; Nicolas Monod ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Springer ๐ŸŒ English โš– 281 KB
On Euler numbers modulo powers of two
โœ Zhi-Wei Sun ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 132 KB

To determine Euler numbers modulo powers of two seems to be a difficult task. In this paper we achieve this and apply the explicit congruence to give a new proof of a classical result due to M.A. Stern.

Multiplicative Relations in Powers of Eu
โœ Scott Ahlgren ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 133 KB

In a recent paper, Cooper, Hirschhorn, and Lewis conjecture many relations among the coefficients of certain products of powers of Euler's product. Here we use the theory of modular forms with complex multiplication to prove these conjectures.