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Sign changes of Hecke eigenvalues of Siegel cusp forms of degree $ 2$

Author(s): Ameya Pitale; Ralf Schmidt
Journal: Proc. Amer. Math. Soc. 136 (2008), 3831-3838.
MSC (2000): Primary 11F46
Posted: June 2, 2008
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Abstract: Let $ \mu(n)$, $ n>0$, be the sequence of Hecke eigenvalues of a cuspidal Siegel eigenform $ F$ of degree $ 2$. It is proved that if $ F$ is not in the Maaß space, then there exist infinitely many primes $ p$ for which the sequence $ \mu(p^r)$, $ r>0$, has infinitely many sign changes.

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Additional Information:

Ameya Pitale
Affiliation: Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019
Email: ameya@math.ou.edu

Ralf Schmidt
Affiliation: Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019
Email: rschmidt@math.ou.edu

DOI: 10.1090/S0002-9939-08-09364-7
PII: S 0002-9939(08)09364-7
Received by editor(s): May 15, 2007,
Received by editor(s) in revised form: October 2, 2007
Posted: June 2, 2008
Communicated by: Ken Ono
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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