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On the proof of the reciprocity law for arithmetic Siegel modular functions

✍ Scribed by Baily, Walter L.

Book ID
112906340
Publisher
Springer-Verlag
Year
1987
Tongue
English
Weight
557 KB
Volume
97
Category
Article
ISSN
0370-0089

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In the 1920s Hecke posed the problem of providing the analytic proof of the reciprocity law for the \(m\) th power residue symbol, along the same lines as his proof of relative quadratic reciprocity. We show that a naive approach, based on a suggestive way of generalizing Hecke \(\vartheta\)-functio