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Sign changes of Hecke eigenvalues of Siegel cusp forms of degree
Authors:Ameya Pitale  Ralf Schmidt
Institution:Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019 ; Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019
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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