English

Average Representation Numbers For Spinor Genera

Number Theory 2007-05-23 v4

Abstract

In this paper we establish a formula for the average of representation numbers of ternary quadratic forms in a spinor genus over a totally real number field. The significant fact about the formula is the fact that it is given in terms of local quantities. Such a formula has already been established by Kneser, Hsia, and Schulze-Pillot, by a different method.

Cite

@article{arxiv.math/0509484,
  title  = {Average Representation Numbers For Spinor Genera},
  author = {Kobi Snitz},
  journal= {arXiv preprint arXiv:math/0509484},
  year   = {2007}
}

Comments

a restatement of the result in terms of spinor genera