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Evaluating symplectic Gauss sums and Jacobi Symbols
Published online by Cambridge University Press: 22 January 2016
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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]).
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1984
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