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

Diamantis, Nikolaos and Rolen, Larry (2018) Period polynomials, derivatives of L-functions, and zeros of polynomials. Research in the Mathematical Sciences, 5 . p. 9. ISSN 2197-9847

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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
Additional Information: “This is a post-peer-review, pre-copyedit version of an article published in Research in the Mathematical Sciences. The final authenticated version is available online at: http://dx.doi.org/10.1007/s40687-018-0126-4
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1007/s40687-018-0126-4
Depositing User: Diamantis, Dr Nikolaos
Date Deposited: 25 Apr 2018 08:45
Last Modified: 06 Feb 2019 04:30
URI: http://eprints.nottingham.ac.uk/id/eprint/51363

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