Spectral mean values of Maass waveform L-functions
نویسندگان
چکیده
منابع مشابه
Maass Forms and Their L-functions
We present examples of Maass forms on Hecke congruence groups, giving low eigenvalues on Γ0(p) for small prime p, and the first 1000 eigenvalues for Γ0(11). We also present calculations of the L-functions associated to the Maass forms and make comparisons to the predictions from random matrix theory.
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In [1], Epstein, Sarnak, and I gave some general results concerning the zeros of an L-function attached to an even Maass wave form for T = PSL(2, Z). The main result was that such an L-function has many zeros on its critical line. In fact, we showed that the analogue of the Hardy-Littlewood theorem for the Riemann zeta function holds for these L-functions as well. In this note I announce the ne...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 1992
ISSN: 0022-314X
DOI: 10.1016/0022-314x(92)90092-4