Computations with Modular Forms

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

Autor: Gebhard Böckle, Gabor Wiese

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Editura: Springer International Publishing AG

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This volume contains original research articles, survey articles and lecture notes related to the Co...

Informații despre carte

Autor

Gebhard Böckle, Gabor Wiese

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2016

Pagini

388

EAN

9783319354798

ISBN

3319354795

Enbook ID

13817040

Editura

Springer International Publishing AG

Greutate

593

Dimensiuni

155 x 235 x 21

Descriere completă

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.

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Computations with Modular Forms

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

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