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

Diamantis, Nikolaos; Rolen, Larry

Authors

Larry Rolen



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.

Citation

Diamantis, N., & Rolen, L. (2018). Period polynomials, derivatives of L-functions, and zerosof polynomials. Research in the Mathematical Sciences, 5, https://doi.org/10.1007/s40687-018-0126-4

Journal Article Type Article
Acceptance Date Dec 21, 2017
Online Publication Date Feb 6, 2018
Publication Date Feb 6, 2018
Deposit Date Jan 19, 2018
Publicly Available Date Aug 16, 2018
Journal Research in the Mathematical Sciences
Electronic ISSN 2197-9847
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 5
Article Number 9
DOI https://doi.org/10.1007/s40687-018-0126-4
Public URL http://eprints.nottingham.ac.uk/id/eprint/49203
Publisher URL https://link.springer.com/article/10.1007/s40687-018-0126-4
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf

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