Toward explicit formulas for higher representation numbers of quadratic forms

Autor:	Walling, Lynne H.
Rok vydání:	2011
Předmět:	Mathematics - Number Theory 11F41 Primary 11F27 11F46 Secondary
Druh dokumentu:	Working Paper
Popis:	It is known that average Siegel theta series lie in the space of Siegel Eisenstein series. Also, every lattice equipped with an even integral quadratic form lies in a maximal lattice. Here we consider average Siegel theta series of degree 2 attached to maximal lattices; we construct maps for which the average theta series is an eigenform. We evaluate the action of these maps on Siegel Eisenstein series of degree 2 (without knowing their Fourier coefficients), and then realise the average theta series as an explicit linear combination of the Eisenstein series.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1110.6346 Zobrazit plný text záznamu View this record from Arxiv