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Twisted Maaß–Koecher series and spinor zeta functions

Published online by Cambridge University Press:  22 January 2016

Stefan Breulmann  and
Winfried Kohnen
Stefan Breulmann
Affiliation:
Universität Heidelberg, Mathematisches Institut, Im Neuenheimer Feld 288, D-69120 Heidelberg, Germany, stefan.breulmann@urz.uni-heidelberg.de
Winfried Kohnen
Affiliation:
Universität Heidelberg, Mathematisches Institut, Im Neuenheimer Feld 288, D-69120 Heidelberg, Germany, winfried@mathi.uni-heidelberg.de
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Abstract

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It is shown that a Siegel-Hecke eigenform of integral weight k and genus 2 is uniquely determined by its Fourier coefficients indexed by nT where T runs over all half-integral positive definite primitive matrices of size 2 and n over all squarefree positive integers. The proof uses analytic arguments involving Koecher-Maaß series and spinor zeta functions.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 155 , 1999 , pp. 153 - 160
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1999

References

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