Download Computations with Modular Forms: Proceedings of a Summer by Gebhard Böckle,Gabor Wiese PDF

By Gebhard Böckle,Gabor Wiese

This quantity comprises unique learn articles, survey articles and lecture notes relating to the Computations with Modular types 2011 summer season tuition and convention, held on the collage of Heidelberg. A key topic of the convention and summer season college was once the interaction among idea, algorithms and experiment.

The 14 papers supply readers either, educational classes at the newest algorithms for computing modular and automorphic types, in addition to unique examine articles reporting at the newest advancements within the field.

The 3 summer season university lectures supply an advent to fashionable algorithms including a few theoretical history for computations of and with modular varieties, together with computing cohomology of mathematics teams, algebraic automorphic varieties, and overconvergent modular symbols.

The eleven convention papers disguise quite a lot of issues concerning computations with modular kinds, together with lattice equipment for algebraic modular types on classical teams, a generalization of the Maeda conjecture, an effective set of rules for specified values of p-adic Rankin triple product L-functions, mathematics elements and experimental info of Bianchi teams, a theoretical examine of the true Jacobian of modular curves, effects on computing weight one modular types, and more.

Show description

Read or Download Computations with Modular Forms: Proceedings of a Summer School and Conference, Heidelberg, August/September 2011 (Contributions in Mathematical and Computational Sciences) PDF

Similar number theory books

Problem-Solving and Selected Topics in Number Theory: In the Spirit of the Mathematical Olympiads

The ebook presents a self-contained advent to classical Number thought. the entire proofs of the person theorems and the suggestions of the routines are being offered step-by-step. a few ancient comments also are offered. The booklet might be directed to complicated undergraduate, starting graduate scholars in addition to to scholars who arrange for mathematical competitions (ex.

Elementary Dirichlet Series and Modular Forms (Springer Monographs in Mathematics)

A booklet on any mathematical topic past the textbook point is of little worth except it includes new principles and new views. It is helping to incorporate new effects, only if they offer the reader new insights and are awarded in addition to recognized previous ends up in a transparent exposition. it's with this philosophy that the writer writes this quantity.

Zeta and eta functions: A new hypothesis

Euler-Riemann’s zeta and Dirichlet’s eta features are outlined for genuine adverse numbers as analytic continuation. within the current publication the writer defines new sequence for zeta and eta capabilities, for actual unfavorable and imaginary numbers with out analytic continuation. the hot zeta and eta capabilities continue the nature of harmonic sequence and alternating harmonic sequence respectively for actual unfavourable numbers, as for actual optimistic numbers.

Computation with Linear Algebraic Groups (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

Designed as a self-contained account of a few key algorithmic difficulties and their suggestions for linear algebraic teams, this e-book combines in a single unmarried textual content either an creation to the fundamental conception of linear algebraic teams and a considerable selection of necessary algorithms. Computation with Linear Algebraic teams bargains a useful consultant to graduate scholars and researchers operating in algebraic teams, computational algebraic geometry, and computational crew concept, in addition to these searching for a concise advent to the idea of linear algebraic teams.

Extra info for Computations with Modular Forms: Proceedings of a Summer School and Conference, Heidelberg, August/September 2011 (Contributions in Mathematical and Computational Sciences)

Sample text

Download PDF sample

Rated 4.84 of 5 – based on 7 votes