On zeros of Eichler integrals

Sarah Peluse

doi:10.1007/s00013-013-0602-4

On zeros of Eichler integrals

Sarah Peluse

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Eichler integrals play an integral part in the modular parametrizations of elliptic curves. In her master's thesis, Kodgis conjectures several dozen zeros of Eichler integrals for elliptic curves with conductor ≤ 179. In this paper we prove a general theorem which confirms many of these conjectured zeros. We also provide two ways to generate infinite families of elliptic curves with certain zeros of their Eichler integrals.

Original language	English (US)
Pages (from-to)	71-81
Number of pages	11
Journal	Archiv der Mathematik
Volume	102
Issue number	1
DOIs	https://doi.org/10.1007/s00013-013-0602-4
State	Published - Jan 2014

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s00013-013-0602-4

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abstract = "Eichler integrals play an integral part in the modular parametrizations of elliptic curves. In her master's thesis, Kodgis conjectures several dozen zeros of Eichler integrals for elliptic curves with conductor ≤ 179. In this paper we prove a general theorem which confirms many of these conjectured zeros. We also provide two ways to generate infinite families of elliptic curves with certain zeros of their Eichler integrals.",

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On zeros of Eichler integrals

Abstract

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