Average Representation Numbers For Spinor Genera

Details Average Representation Numbers For Spinor Genera Average Representation Numbers For Spinor Genera

2005-09-21

arxiv.org/abs/math/0509484v4

Mathematics

Number Theory

a restatement of the result in terms of spinor genera

Scientific paper

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.

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