Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

On the evaluation of Salié sums

Author(s): Árpád Tóth
Journal: Proc. Amer. Math. Soc. 133 (2005), 643-645.
MSC (2000): Primary 11L05; Secondary 11F37
Posted: October 7, 2004
MathSciNet review: 2113909
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Abstract: The Salié sum can be evaluated as the product of a Gauss sum and an exponential sum involving square roots of $mn \bmod{c}$ . We give a new proof of this fact that can simultaneously handle a twisted version of these sums that arise in the theory of half-integral weight modular forms.

References:

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