Hecke eigenvalues and relations for Siegel Eisenstein series of arbitrary degree, level, and character

Autor:	Walling, Lynne H.
Rok vydání:	2014
Předmět:	Mathematics - Number Theory 11F46 11F11
Druh dokumentu:	Working Paper
DOI:	10.1142/S179304211750021X
Popis:	We evaluate the action of Hecke operators on Siegel Eisenstein series of arbitrary degree, level and character. For square-free level, we simultaneously diagonalise the space with respect to all the Hecke operators, computing the eigenvalues explicitly, and obtain a multiplicity-one result. For arbitrary level, we simultaneously diagonalise the space with respect to the Hecke operators attached to primes not dividing the level, again computing the eigenvalues explicitly. Comment: to appear, Internat. J. Number Theory
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1412.4588 Zobrazit plný text záznamu View this record from Arxiv