Moments of characteristic polynomials and their derivatives for SO(2N) and USp(2N) and their application to one-level density in families of elliptic curve L-functions

Ian Cooper; Nina C Snaith

doi:10.1063/5.0237571

Moments of characteristic polynomials and their derivatives for SO(2N) and USp(2N) and their application to one-level density in families of elliptic curve L-functions

Ian Cooper
, Nina C Snaith^*

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

1 Citation (Scopus)

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Abstract

[please see paper for abstract]

Original language	English
Article number	083504
Number of pages	29
Journal	Journal of Mathematical Physics
Volume	66
Issue number	8
DOIs	https://doi.org/10.1063/5.0237571
Publication status	Published - 1 Aug 2025

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© 2025 Author(s).

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10.1063/5.0237571Licence: CC BY

JMP24-AR-01379_accepted_manuscriptAccepted author manuscript, 733 KBLicence: CC BY

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title = "Moments of characteristic polynomials and their derivatives for SO(2N) and USp(2N) and their application to one-level density in families of elliptic curve L-functions",

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AU - Cooper, Ian

AU - Snaith, Nina C

PY - 2025/8/1

Y1 - 2025/8/1

N2 - [please see paper for abstract]

AB - [please see paper for abstract]

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Moments of characteristic polynomials and their derivatives for SO(2N) and USp(2N) and their application to one-level density in families of elliptic curve L-functions

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