On développe une nouvelle méthode pour majorer les coefficients de Fourier hyperboliques et sphériques des formes de Maass définies par rapport à des réseaux uniformes généraux.
We develop a new method to bound the hyperbolic and spherical Fourier coefficients of Maass forms defined with respect to arbitrary uniform lattices.
Mots clés : Maass forms, Fourier coefficients, geodesics, periods, equidistribution, Sobolev norms, wave front lemma
@article{JTNB_2014__26_3_559_0,
author = {Blomer, Valentin and Brumley, Farrell and Kontorovich, Alex and Templier, Nicolas},
title = {Bounding hyperbolic and spherical coefficients of {Maass} forms},
journal = {Journal de th\'eorie des nombres de Bordeaux},
pages = {559--578},
publisher = {Soci\'et\'e Arithm\'etique de Bordeaux},
volume = {26},
number = {3},
year = {2014},
doi = {10.5802/jtnb.879},
mrnumber = {3320492},
language = {en},
url = {http://www.numdam.org/articles/10.5802/jtnb.879/}
}
TY - JOUR AU - Blomer, Valentin AU - Brumley, Farrell AU - Kontorovich, Alex AU - Templier, Nicolas TI - Bounding hyperbolic and spherical coefficients of Maass forms JO - Journal de théorie des nombres de Bordeaux PY - 2014 SP - 559 EP - 578 VL - 26 IS - 3 PB - Société Arithmétique de Bordeaux UR - http://www.numdam.org/articles/10.5802/jtnb.879/ DO - 10.5802/jtnb.879 LA - en ID - JTNB_2014__26_3_559_0 ER -
%0 Journal Article %A Blomer, Valentin %A Brumley, Farrell %A Kontorovich, Alex %A Templier, Nicolas %T Bounding hyperbolic and spherical coefficients of Maass forms %J Journal de théorie des nombres de Bordeaux %D 2014 %P 559-578 %V 26 %N 3 %I Société Arithmétique de Bordeaux %U http://www.numdam.org/articles/10.5802/jtnb.879/ %R 10.5802/jtnb.879 %G en %F JTNB_2014__26_3_559_0
Blomer, Valentin; Brumley, Farrell; Kontorovich, Alex; Templier, Nicolas. Bounding hyperbolic and spherical coefficients of Maass forms. Journal de théorie des nombres de Bordeaux, Tome 26 (2014) no. 3, pp. 559-578. doi : 10.5802/jtnb.879. http://www.numdam.org/articles/10.5802/jtnb.879/
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