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A recursion relation for the coefficients of Swinnerton-Dyer type polynomials
Abstract
We study a family of polynomials that are very closely related to the Swinnerton-Dyer polynomials. As main result, we determine a recursion relation for the coefficients of this family of polynomials. We briefly explain our own and others' interest in this family of polynomials.
Related
- Two proofs of the Cassels--Swinnerton-Dyer conjecture for cubic surfaces
- Elliptic units, derived Heegner classes and the p-adic Birch and Swinnerton-Dyer quotient of CM elliptic curves of rank two
- Asymptotics of the coefficients of polynomials, asymptotic zero distribution and free probability
- Divisor moments of polynomials in Fourier coefficients of modular forms
- Orthogonality relation between GL(3) coefficients and additive characters with linear and non-linear phases
BibTeX
@misc{messerschmidt2026recursion,
title = {{A recursion relation for the coefficients of Swinnerton-Dyer type polynomials}},
author = {Miek Messerschmidt},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.10034},
eprint = {2611.10034},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.10034},
}
RIS
TY - UNPB
TI - A recursion relation for the coefficients of Swinnerton-Dyer type polynomials
AU - Miek Messerschmidt
PY - 2026
DA - 2026/11/05
PB - arXiv
DO - 10.48550/arxiv.2611.10034
UR - https://arxiv.org/abs/2611.10034
AB - We study a family of polynomials that are very closely related to the Swinnerton-Dyer polynomials. As main result, we determine a recursion relation for the coefficients of this family of polynomials. We briefly explain our own and others' interest in this family of polynomials.
ER -