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July 2013 On the Fourier coefficients of Hilbert modular forms of half-integral weight over arbitrary algebraic number fields
Hisashi Kojima
Tsukuba J. Math. 37(1): 1-11 (July 2013). DOI: 10.21099/tkbjm/1373893402

Abstract

In Theorem 2.5 in previous paper [4], we determined the Fourier coefficients of the image of Shimura correspondence of modular forms f of half integral weight over arbitrary algebraic number fields in terms of those of f. It seems that there is a gap in the proof. We give a correct proof of Theorem 2.5 in [4]. Moreover, we deduce useful formulas between the product of Fourier coefficients of f and the central value of quadratic twisted L-series associated with the image of Shimura correspondence of f .

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Hisashi Kojima. "On the Fourier coefficients of Hilbert modular forms of half-integral weight over arbitrary algebraic number fields." Tsukuba J. Math. 37 (1) 1 - 11, July 2013. https://doi.org/10.21099/tkbjm/1373893402

Information

Published: July 2013
First available in Project Euclid: 15 July 2013

zbMATH: 1325.11040
MathSciNet: MR3112415
Digital Object Identifier: 10.21099/tkbjm/1373893402

Rights: Copyright © 2013 University of Tsukuba, Institute of Mathematics

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Vol.37 • No. 1 • July 2013
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