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Some numerical computations concerning spinor zeta functions in genus  at the central point
Author(s):
Winfried
Kohnen;
Michael
Kuß.
Journal:
Math. Comp.
71
(2002),
1597-1607.
MSC (2000):
Primary 11F46
Posted:
December 5, 2001
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Abstract:
We numerically compute the central critical values of odd quadratic character twists with respect to some small discriminants  of spinor zeta functions attached to Seigel-Hecke eigenforms  of genus 2 in the first few cases where  does not belong to the Maass space. As a result, in the cases considered we can numerically confirm a conjecture of Böcherer, according to which these central critical values should be proportional to the squares of certain finite sums of Fourier coefficients of  .
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Additional Information:
Winfried
Kohnen
Affiliation:
Universität Heidelberg, Mathematisches Institut, Im Neuenheimer Feld 288, D-69120 Heidelberg, Germany
Email:
winfried@mathi.uni-heidelberg.de
Michael
Kuß
Affiliation:
Universität Heidelberg, Mathematisches Institut, Im Neuenheimer Feld 288, D-69120 Heidelberg, Germany
Email:
michael.kuss@urz.uni-heidelberg.de
DOI:
10.1090/S0025-5718-01-01399-0
PII:
S 0025-5718(01)01399-0
Received by editor(s):
October 20, 1999
Received by editor(s) in revised form:
January 3, 2001
Posted:
December 5, 2001
Copyright of article:
Copyright
2001,
American Mathematical Society
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