Simultaneous behaviour of the Fourier coefficients of two Hilbert modular cusp forms

Kaushik, Surjeet and Kumar, Narasimha (2019) Simultaneous behaviour of the Fourier coefficients of two Hilbert modular cusp forms. Archiv der Mathematik, 112 (3). pp. 241-248. ISSN 0003-889X

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Abstract

In this article, we study simultaneous sign changes of the Fourier coefficients of two Hilbert cusp forms of different non-parallel weights. We also study simultaneous non-vanishing of Fourier coefficients of two distinct non-zero primitive Hilbert cuspidal non-CM eigenforms of integral weights at powers of prime ideals.

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IITH Creators:	IITH Creators ORCiD Kumar, Narasimha UNSPECIFIED
Item Type:	Article
Uncontrolled Keywords:	Fourier coefficients, Hilbert modular forms, Non-vanishing, Sign changes
Subjects:	Mathematics
Divisions:	Department of Mathematics
Depositing User:	Team Library
Date Deposited:	16 Mar 2019 10:22
Last Modified:	16 Mar 2019 10:22
URI:	http://raiithold.iith.ac.in/id/eprint/4891
Publisher URL:	http://doi.org/10.1007/s00013-018-1275-9
OA policy:	http://www.sherpa.ac.uk/romeo/issn/0003-889X/
Related URLs:	Google Scholar

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