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Sign changes of Fourier coefficients of Hilbert modular forms

Meher, Jaban and Tanabe, Naomi (2014) Sign changes of Fourier coefficients of Hilbert modular forms. In: JOURNAL OF NUMBER THEORY, 145 . pp. 230-244.

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Official URL: http://dx.doi.org/ 10.1016/j.jnt.2014.05.004

Abstract

Sign changes of Fourier coefficients of various modular forms have been studied. In this paper, we analyze some sign change properties of Fourier coefficients of Hilbert modular forms, under the assumption that all the coefficients are real. The quantitative results on the number of sign changes in short intervals are also discussed. (C) 2014 Elsevier Inc. All rights reserved.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Depositing User: Id for Latest eprints
Date Deposited: 13 Oct 2014 10:11
Last Modified: 13 Oct 2014 10:11
URI: http://eprints.iisc.ac.in/id/eprint/50002

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