This article contains all the technical ingredients required to implement an effective, explicit and unconditional amplifier in the context of automorphic forms. In particular, several coset decomposition computations in the Hecke algebra are explicitly done.
Cet article contient tous les ingrédients techniques nécessaires à la mise en place efficace, explicite et inconditionnelle de la méthode d’amplification dans le cadre des formes automorphes de . En particulier, il y est donné plusieurs décompositions explicites de systèmes de représentants dans l’algèbre de Hecke de .
Published online:
DOI: 10.5802/pmb.11
Mots-clés : Amplification method, Hecke operators, Hecke algebras
@article{PMB_2015____13_0, author = {Roman Holowinsky and Guillaume Ricotta and Emmanuel Royer}, title = {The amplification method in the $GL(3)$ {Hecke} algebra}, journal = {Publications math\'ematiques de Besan\c{c}on. Alg\`ebre et th\'eorie des nombres}, pages = {13--40}, publisher = {Presses universitaires de Franche-Comt\'e}, year = {2015}, doi = {10.5802/pmb.11}, zbl = {1380.11053}, language = {en}, url = {https://pmb.centre-mersenne.org/articles/10.5802/pmb.11/} }
TY - JOUR AU - Roman Holowinsky AU - Guillaume Ricotta AU - Emmanuel Royer TI - The amplification method in the $GL(3)$ Hecke algebra JO - Publications mathématiques de Besançon. Algèbre et théorie des nombres PY - 2015 SP - 13 EP - 40 PB - Presses universitaires de Franche-Comté UR - https://pmb.centre-mersenne.org/articles/10.5802/pmb.11/ DO - 10.5802/pmb.11 LA - en ID - PMB_2015____13_0 ER -
%0 Journal Article %A Roman Holowinsky %A Guillaume Ricotta %A Emmanuel Royer %T The amplification method in the $GL(3)$ Hecke algebra %J Publications mathématiques de Besançon. Algèbre et théorie des nombres %D 2015 %P 13-40 %I Presses universitaires de Franche-Comté %U https://pmb.centre-mersenne.org/articles/10.5802/pmb.11/ %R 10.5802/pmb.11 %G en %F PMB_2015____13_0
Roman Holowinsky; Guillaume Ricotta; Emmanuel Royer. The amplification method in the $GL(3)$ Hecke algebra. Publications mathématiques de Besançon. Algèbre et théorie des nombres (2015), pp. 13-40. doi : 10.5802/pmb.11. https://pmb.centre-mersenne.org/articles/10.5802/pmb.11/
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