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The Resource Computations with Modular Forms : Proceedings of a Summer School and Conference, Heidelberg, August/September 2011, edited by Gebhard Böckle, Gabor Wiese, (electronic resource)

Computations with Modular Forms : Proceedings of a Summer School and Conference, Heidelberg, August/September 2011, edited by Gebhard Böckle, Gabor Wiese, (electronic resource)

Label
Computations with Modular Forms : Proceedings of a Summer School and Conference, Heidelberg, August/September 2011
Title
Computations with Modular Forms
Title remainder
Proceedings of a Summer School and Conference, Heidelberg, August/September 2011
Statement of responsibility
edited by Gebhard Böckle, Gabor Wiese
Creator
Contributor
Editor
Subject
Language
eng
Summary
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
Member of
Cataloging source
IT-FiEUI
http://library.link/vocab/creatorDate
1964-
http://library.link/vocab/creatorName
Böckle, Gebhard
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Wiese, Gabor.
  • SpringerLink (Online service)
Series statement
  • Contributions in Mathematical and Computational Sciences,
  • Springer eBooks
Series volume
6
http://library.link/vocab/subjectName
  • Mathematics
  • Algebra
  • Geometry, Algebraic
  • Algorithms
  • Number theory
Label
Computations with Modular Forms : Proceedings of a Summer School and Conference, Heidelberg, August/September 2011, edited by Gebhard Böckle, Gabor Wiese, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-03847-6
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Part I Summer School: Lectures on Computing Cohomology of Arithmetic Groups by P.E. Gunnells -- Computing with Algebraic Automorphic Forms by D. Loeffler -- Overconvergent Modular Symbols by R. Pollack -- Part II Conference and Research Contributions: Congruence Subgroups, Cusps and Manin Symbols over Number Fields by J. E. Cremona and M. T. Aranés -- Computing Weight One Modular Forms over C and Fp by K. Buzzard -- Lattice Methods for Algebraic Modular Forms on Classical Groups by M. Greenberg and J. Voight -- Efficient Computation of Rankin p-Adic L-Functions by A.G.B. Lauder -- Formes Modulaires Modulo 2 et Composantes Réelles de Jacobiennes Modulaires by L.Merel -- Universal Hecke L-Series Associated with Cuspidal Eigenforms over Imaginary Quadratic Fields by A. Mohamed -- On Higher Congruences Between Cusp Forms and Eisenstein Series by B. Naskrecki -- Arithmetic Aspects of Bianchi Groups by M.H.Sengün -- A Possible Generalization of Maeda's Conjecture by P. Tsaknias -- Computing Power Series Expansions of Modular Forms by J. Voight and J. Willis -- Computing Modular Forms for GL2 over Certain Number Fields by D. Yasaki
Control code
978-3-319-03847-6
Dimensions
unknown
Extent
XII, 376 pages 29 illustrations, 12 illustrations in color.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319038476
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-03847-6
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1084416206
Label
Computations with Modular Forms : Proceedings of a Summer School and Conference, Heidelberg, August/September 2011, edited by Gebhard Böckle, Gabor Wiese, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-03847-6
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Part I Summer School: Lectures on Computing Cohomology of Arithmetic Groups by P.E. Gunnells -- Computing with Algebraic Automorphic Forms by D. Loeffler -- Overconvergent Modular Symbols by R. Pollack -- Part II Conference and Research Contributions: Congruence Subgroups, Cusps and Manin Symbols over Number Fields by J. E. Cremona and M. T. Aranés -- Computing Weight One Modular Forms over C and Fp by K. Buzzard -- Lattice Methods for Algebraic Modular Forms on Classical Groups by M. Greenberg and J. Voight -- Efficient Computation of Rankin p-Adic L-Functions by A.G.B. Lauder -- Formes Modulaires Modulo 2 et Composantes Réelles de Jacobiennes Modulaires by L.Merel -- Universal Hecke L-Series Associated with Cuspidal Eigenforms over Imaginary Quadratic Fields by A. Mohamed -- On Higher Congruences Between Cusp Forms and Eisenstein Series by B. Naskrecki -- Arithmetic Aspects of Bianchi Groups by M.H.Sengün -- A Possible Generalization of Maeda's Conjecture by P. Tsaknias -- Computing Power Series Expansions of Modular Forms by J. Voight and J. Willis -- Computing Modular Forms for GL2 over Certain Number Fields by D. Yasaki
Control code
978-3-319-03847-6
Dimensions
unknown
Extent
XII, 376 pages 29 illustrations, 12 illustrations in color.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319038476
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-03847-6
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1084416206

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