TY - JOUR
T1 - On zeros of Eichler integrals
AU - Peluse, Sarah
N1 - Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 2014/1
Y1 - 2014/1
N2 - 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.
AB - 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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U2 - 10.1007/s00013-013-0602-4
DO - 10.1007/s00013-013-0602-4
M3 - Article
AN - SCOPUS:84893666107
SN - 0003-889X
VL - 102
SP - 71
EP - 81
JO - Archiv der Mathematik
JF - Archiv der Mathematik
IS - 1
ER -