EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 65(79), pp. 31--51 (1999)

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Convolutions of Fourier coefficients of cusp forms

M. Jutila

Department of Mathematics University of Turku FIN-20014 Turku Finland

Abstract: Analogues of classical binary additive divisor problems for Fourier coefficients of (holomorphic or non-holomorphic) cusp forms are discussed in a new way by a variant of the circle method. The results are either new or coincide with earlier ones.

Keywords: cusp forms, circle method, spectral theory.

Classification (MSC2000): 11F30; 11N37

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Electronic fulltext finalized on: 1 Nov 2001. This page was last modified: 7 Dec 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition