Editors:
- Unites lecture notes and research articles; lecture notes prepare the reader for most research articles
- Covers latest developments in algorithmic aspects of modular forms
- Targeted at graduate students and researchers in algorithmic number theory and modular forms
- Includes supplementary material: sn.pub/extras
Part of the book series: Contributions in Mathematical and Computational Sciences (CMCS, volume 6)
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Table of contents (14 papers)
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Front Matter
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Conference and Research Contributions
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Front Matter
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About this book
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.
Editors and Affiliations
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Interdisciplinary Center for Scientific Computing, Universität Heidelberg, Heidelberg, Germany
Gebhard Böckle
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UR Mathématiques, Faculté des Sciences, de la Technologie et de la Communication, Luxembourg, Luxembourg
Gabor Wiese
Bibliographic Information
Book Title: Computations with Modular Forms
Book Subtitle: Proceedings of a Summer School and Conference, Heidelberg, August/September 2011
Editors: Gebhard Böckle, Gabor Wiese
Series Title: Contributions in Mathematical and Computational Sciences
DOI: https://doi.org/10.1007/978-3-319-03847-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Hardcover ISBN: 978-3-319-03846-9Published: 04 February 2014
Softcover ISBN: 978-3-319-35479-8Published: 23 August 2016
eBook ISBN: 978-3-319-03847-6Published: 23 January 2014
Series ISSN: 2191-303X
Series E-ISSN: 2191-3048
Edition Number: 1
Number of Pages: XII, 376
Number of Illustrations: 17 b/w illustrations, 12 illustrations in colour
Topics: Number Theory, Algorithms, Algebra, Algebraic Geometry