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Evaluating symplectic Gauss sums and Jacobi Symbols

Published online by Cambridge University Press:  22 January 2016

Robert Styer
Robert Styer*
Affiliation:
Department of Mathematics, Villanova University, Villanova, PA 19085, USA
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Stark [9] has explicitly evaluated some symplectic Gauss sums when the “denominator” matrix has odd prime level. This result is useful in computing the exact tranformation formulas of multivariable theta functions (see Stark [10], Friedberg [3] and Styer [11]). It is particularly useful when considering theta functions with quadratic forms having an odd number of variables, often a troublesome case (see Eichler [2] and Andrianov-Maloletkin [1]).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 95 , September 1984 , pp. 1 - 22
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1984

References

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