On Short Sums Involving Fourier Coefficients of Maass Forms
: Jääsaari J
Publisher: UNIV BORDEAUX, INST MATHEMATIQUES BORDEAUX
: 2020
Journal De Theorie Des Nombres De Bordeaux
: JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX
: J THEOR NOMBR BORDX
: 32
: 3
: 761
: 793
: 33
: 1246-7405
: 2118-8572
DOI: https://doi.org/10.5802/jtnb.1142
: https://research.utu.fi/converis/portal/detail/Publication/52258876
We study sums of Hecke eigenvalues of Hecke-Maass cusp forms for the group SL(n, Z), with general n >= 3, over short intervals of certain length under the assumption of the generalised Lindelof hypothesis and a slightly stronger upper bound concerning the exponent towards the Ramanujan-Petersson conjecture than is currently known. In particular, in this case we evaluate the second moment of the sums in question asymptotically.
Fourier coefficients of automorphic forms, higher rank Maass cusp forms, sums of Hecke eigenvalues
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