Computations with Modular Forms

Proceedings of a Summer School and Conference, Heidelberg, August/September 2011 de

,

Éditeur :

Springer


Collection :

Contributions in Mathematical and Computational Sciences

Paru le : 2014-01-23

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Description

This volume contains original research articles, survey articles and lecture notes related to the Computations with Modular Forms 2011 Summer School and Conference, held at the University of Heidelberg. A key theme of the Conference and Summer School was the interplay between theory, algorithms and experiment.

The 14 papers offer readers both, instructional courses on the latest algorithms for computing modular and automorphic forms, as well as original research articles reporting on the latest developments in the field.

The three Summer School lectures provide an introduction to modern algorithms together with some theoretical background for computations of and with modular forms, including computing cohomology of arithmetic groups, algebraic automorphic forms, and overconvergent modular symbols.
The 11 Conference papers cover a wide range of themes related to computations with modular forms, including lattice methods for algebraic modular forms on classical groups, a generalization of the Maeda conjecture, an efficient algorithm for special values of p-adic Rankin triple product L-functions, arithmetic aspects and experimental data of Bianchi groups, a theoretical study of the real Jacobian of modular curves, results on computing weight one modular forms, and more.
Pages
376 pages
Collection
Contributions in Mathematical and Computational Sciences
Parution
2014-01-23
Marque
Springer
EAN papier
9783319038469
EAN EPUB
9783319038476

Informations sur l'ebook
Nombre pages copiables
3
Nombre pages imprimables
37
Taille du fichier
4925 Ko
Prix
147,69 €