Universität zu Köln

Mertens, Michael H. and Ono, Ken (2016). SPECIAL VALUES OF SHIFTED CONVOLUTION DIRICHLET SERIES. Mathematika, 62 (1). S. 47 - 67. LONDON: LONDON MATH SOC. ISSN 2041-7942

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Abstract

In a recent important paper, Hoffstein and Hulse [Multiple Dirichlet series and shifted convolutions, arXiv:1110.4868v2] generalized the notion of Rankin-Selberg convolution L-functions by defining shifted convolution L-functions. We investigate symmetrized versions of their functions, and we prove that the generating functions of certain special values are linear combinations of weakly holomorphic quasimodular forms and mixed mock modular forms.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Mertens, Michael H. UNSPECIFIED UNSPECIFIED UNSPECIFIED Ono, Ken UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-293546
DOI:	10.1112/S0025579315000169
Journal or Publication Title:	Mathematika
Volume:	62
Number:	1
Page Range:	S. 47 - 67
Date:	2016
Publisher:	LONDON MATH SOC
Place of Publication:	LONDON
ISSN:	2041-7942
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language FOURIER COEFFICIENTS; MAASS FORMS; CUSP FORMS; PROJECTIONS; SUMS Multiple languages Mathematics, Applied; Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/29354