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Computational Arithmetic of Modular Forms
Wiese, Gabor
2019In Buyukasik, Engin; Inam, Ilker (Eds.) Notes from the International Autumn School on Computational Number Theory: Izmir Institute of Technology 2017
Peer reviewed
 

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Abstract :
[en] These course notes are about computing modular forms and some of their arithmetic properties. Their aim is to explain and prove the modular symbols algorithm in as elementary and as explicit terms as possible, and to enable the devoted student to implement it over any ring (such that a sufficient linear algebra theory is available in the chosen computer algebra system). The chosen approach is based on group cohomology and along the way the needed tools from homological algebra are provided.
Disciplines :
Mathematics
Author, co-author :
Wiese, Gabor  ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
no
Language :
English
Title :
Computational Arithmetic of Modular Forms
Publication date :
2019
Event name :
International Autumn School on Computational Number Theory
Event place :
Izmir, Turkey
Event date :
from 30-10-2017 to 03-11-2017
By request :
Yes
Audience :
International
Main work title :
Notes from the International Autumn School on Computational Number Theory: Izmir Institute of Technology 2017
Editor :
Buyukasik, Engin
Inam, Ilker
Publisher :
Birkhäuser/Springer, Cham, Switzerland
ISBN/EAN :
978-3-030-12557-8
Pages :
63–170
Peer reviewed :
Peer reviewed
Available on ORBilu :
since 12 February 2019

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