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

Diamantis, Nikolaos; Rolen, Larry

Authors

Nikolaos Diamantis

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.

Journal Article Type Article
Publication Date Feb 6, 2018
Journal Research in the Mathematical Sciences
Electronic ISSN 2197-9847
Publisher BMC
Peer Reviewed Peer Reviewed
Volume 5
Article Number 9
APA6 Citation Diamantis, N., & Rolen, L. (2018). Period polynomials, derivatives of L-functions, and zerosof polynomials. Research in the Mathematical Sciences, 5, doi:10.1007/s40687-018-0126-4
DOI https://doi.org/10.1007/s40687-018-0126-4
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.nottingh.../end_user_agreement.pdf
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