Period polynomials, derivatives of L-functions, and zeros of polynomials

Diamantis, Nikolaos and Rolen, Larry (2017) Period polynomials, derivatives of L-functions, and zeros of polynomials. Research in the Mathematical Sciences . ISSN 2197-9847 (In Press)

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Abstract

Period polynomials have long been fruitful tools for the study of values of L-functions in the context of major outstanding conjectures. In this paper, we survey some facets of this study from the perspective of Eichler cohomology. We discuss ways to incorporate non-cuspidal modular forms and values of derivatives of L-functions into the same framework. We further review investigations of the location of zeros of the period polynomial as well as of its analogue for L-derivatives.

Item Type: Article
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1007/s40687-018-126-4
Depositing User: Eprints, Support
Date Deposited: 19 Jan 2018 14:13
Last Modified: 20 Jan 2018 14:12
URI: http://eprints.nottingham.ac.uk/id/eprint/49203

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