Equations for Mahler measure and isogenies

Matilde N. Lalín[1]

  • [1] Département de mathématiques et de statistique Université de Montréal. CP 6128, succ. Centre-ville. Montreal, QC H3C 3J7, Canada

Journal de Théorie des Nombres de Bordeaux (2013)

  • Volume: 25, Issue: 2, page 387-399
  • ISSN: 1246-7405

Abstract

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We study some functional equations between Mahler measures of genus-one curves in terms of isogenies between the curves. These equations have the potential to establish relationships between Mahler measure and especial values of L -functions. These notes are based on a talk that the author gave at the “Cuartas Jornadas de Teoría de Números”, Bilbao, 2011.

How to cite

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Lalín, Matilde N.. "Equations for Mahler measure and isogenies." Journal de Théorie des Nombres de Bordeaux 25.2 (2013): 387-399. <http://eudml.org/doc/275773>.

@article{Lalín2013,
abstract = {We study some functional equations between Mahler measures of genus-one curves in terms of isogenies between the curves. These equations have the potential to establish relationships between Mahler measure and especial values of $L$-functions. These notes are based on a talk that the author gave at the “Cuartas Jornadas de Teoría de Números”, Bilbao, 2011.},
affiliation = {Département de mathématiques et de statistique Université de Montréal. CP 6128, succ. Centre-ville. Montreal, QC H3C 3J7, Canada},
author = {Lalín, Matilde N.},
journal = {Journal de Théorie des Nombres de Bordeaux},
keywords = {Mahler measure; Dirichlet L-function; isogeny},
language = {eng},
month = {9},
number = {2},
pages = {387-399},
publisher = {Société Arithmétique de Bordeaux},
title = {Equations for Mahler measure and isogenies},
url = {http://eudml.org/doc/275773},
volume = {25},
year = {2013},
}

TY - JOUR
AU - Lalín, Matilde N.
TI - Equations for Mahler measure and isogenies
JO - Journal de Théorie des Nombres de Bordeaux
DA - 2013/9//
PB - Société Arithmétique de Bordeaux
VL - 25
IS - 2
SP - 387
EP - 399
AB - We study some functional equations between Mahler measures of genus-one curves in terms of isogenies between the curves. These equations have the potential to establish relationships between Mahler measure and especial values of $L$-functions. These notes are based on a talk that the author gave at the “Cuartas Jornadas de Teoría de Números”, Bilbao, 2011.
LA - eng
KW - Mahler measure; Dirichlet L-function; isogeny
UR - http://eudml.org/doc/275773
ER -

References

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