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.

Last updated on 2024-26-11 at 20:10