Reference : On the arithmetic of modular forms
Scientific congresses, symposiums and conference proceedings : Unpublished conference
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/31601
On the arithmetic of modular forms
English
Wiese, Gabor mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
15-Jun-2017
No
Yes
International
Workshop on Arithmetic and Computation 2017
from 15-06-2017 to 16-06-2017
Leuven
Belgium
[en] In this short overview talk, we will stress the arithmetic significance of the coefficients of modular forms. This naturally leads to questions on the distribution of the coefficients in various senses. We will briefly touch on some of them and state some open questions.
The arithmetic information in the coefficients of a Hecke eigenform is summarised in the attached Galois representation. When studying its ramification properties, one notices that forms of weight one play a special role that we will explain.
http://hdl.handle.net/10993/31601

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