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Problems in the theory of modular forms

This book introduces the reader to the fascinating world of modular forms through a problem-solving approach. As such, besides researchers, the book can be used by the undergraduate and graduate students for self-instruction. The topics covered include q-series, the modular group, the upper half-pla...

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Detalles Bibliográficos
Autores principales: Murty, M Ram, Dewar, Michael, Graves, Hester
Lenguaje:eng
Publicado: Springer 2016
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-981-10-2651-5
http://cds.cern.ch/record/2237348
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author Murty, M Ram
Dewar, Michael
Graves, Hester
author_facet Murty, M Ram
Dewar, Michael
Graves, Hester
author_sort Murty, M Ram
collection CERN
description This book introduces the reader to the fascinating world of modular forms through a problem-solving approach. As such, besides researchers, the book can be used by the undergraduate and graduate students for self-instruction. The topics covered include q-series, the modular group, the upper half-plane, modular forms of level one and higher level, the Ramanujan τ-function, the Petersson inner product, Hecke operators, Dirichlet series attached to modular forms and further special topics. It can be viewed as a gentle introduction for a deeper study of the subject. Thus, it is ideal for non-experts seeking an entry into the field. .
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2016
publisher Springer
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spelling cern-22373482021-04-21T19:26:01Zdoi:10.1007/978-981-10-2651-5http://cds.cern.ch/record/2237348engMurty, M RamDewar, MichaelGraves, HesterProblems in the theory of modular formsMathematical Physics and MathematicsThis book introduces the reader to the fascinating world of modular forms through a problem-solving approach. As such, besides researchers, the book can be used by the undergraduate and graduate students for self-instruction. The topics covered include q-series, the modular group, the upper half-plane, modular forms of level one and higher level, the Ramanujan τ-function, the Petersson inner product, Hecke operators, Dirichlet series attached to modular forms and further special topics. It can be viewed as a gentle introduction for a deeper study of the subject. Thus, it is ideal for non-experts seeking an entry into the field. .Springeroai:cds.cern.ch:22373482016
spellingShingle Mathematical Physics and Mathematics
Murty, M Ram
Dewar, Michael
Graves, Hester
Problems in the theory of modular forms
title Problems in the theory of modular forms
title_full Problems in the theory of modular forms
title_fullStr Problems in the theory of modular forms
title_full_unstemmed Problems in the theory of modular forms
title_short Problems in the theory of modular forms
title_sort problems in the theory of modular forms
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-981-10-2651-5
http://cds.cern.ch/record/2237348
work_keys_str_mv AT murtymram problemsinthetheoryofmodularforms
AT dewarmichael problemsinthetheoryofmodularforms
AT graveshester problemsinthetheoryofmodularforms