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

Pitale, Ameya; Schmidt, Ralf

doi:10.1090/S0002-9939-08-09364-7

Sign changes of Hecke eigenvalues of Siegel cusp forms of degree $2$
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Proc. Amer. Math. Soc. 136 (2008), 3831-3838 Request permission

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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