Nous étudions quelques équations fonctionnelles de la mesure de Mahler de familles de courbes de genre 1 en utilisant des isogénies entre les courbes. Ces équations ont le potentiel d’aider à trouver des relations entre la mesure de Mahler et des valeurs spéciales de fonctions . Ces notes sont inspirées d’une présentation de l’auteure aux Cuartas Jornadas de Teoría de Números, à Bilbao, 2011.
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 -functions. These notes are based on a talk that the author gave at the “Cuartas Jornadas de Teoría de Números”, Bilbao, 2011.
@article{JTNB_2013__25_2_387_0, author = {Matilde N. Lal{\'\i}n}, title = {Equations for {Mahler} measure and isogenies}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {387--399}, publisher = {Soci\'et\'e Arithm\'etique de Bordeaux}, volume = {25}, number = {2}, year = {2013}, doi = {10.5802/jtnb.841}, mrnumber = {3228313}, zbl = {1283.11095}, language = {en}, url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.841/} }
TY - JOUR AU - Matilde N. Lalín TI - Equations for Mahler measure and isogenies JO - Journal de théorie des nombres de Bordeaux PY - 2013 SP - 387 EP - 399 VL - 25 IS - 2 PB - Société Arithmétique de Bordeaux UR - https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.841/ DO - 10.5802/jtnb.841 LA - en ID - JTNB_2013__25_2_387_0 ER -
%0 Journal Article %A Matilde N. Lalín %T Equations for Mahler measure and isogenies %J Journal de théorie des nombres de Bordeaux %D 2013 %P 387-399 %V 25 %N 2 %I Société Arithmétique de Bordeaux %U https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.841/ %R 10.5802/jtnb.841 %G en %F JTNB_2013__25_2_387_0
Matilde N. Lalín. Equations for Mahler measure and isogenies. Journal de théorie des nombres de Bordeaux, Tome 25 (2013) no. 2, pp. 387-399. doi : 10.5802/jtnb.841. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.841/
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