On the representation of quadratic forms by quadratic forms

Autor:	Dietmann, Rainer, Harvey, Michael
Rok vydání:	2013
Předmět:	Mathematics - Number Theory 11D09 11D72 11E12 11P55
Druh dokumentu:	Working Paper
Popis:	Using the circle method, we show that for a fixed positive definite integral quadratic form $A$, the expected asymptotic formula for the number of representations of a positive definite integral quadratic form $B$ by $A$ holds true, providing that the dimension of $A$ is large enough in terms of the dimension of $B$ and the maximum ratio of the successive minima of $B$, and providing that $B$ is sufficiently large in terms of $A$. Comment: 18 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1301.6772 Zobrazit plný text záznamu View this record from Arxiv