001440358 000__ 04019cam\a2200553\a\4500
001440358 001__ 1440358
001440358 003__ OCoLC
001440358 005__ 20230309004558.0
001440358 006__ m\\\\\o\\d\\\\\\\\
001440358 007__ cr\un\nnnunnun
001440358 008__ 211016s2021\\\\gw\\\\\\ob\\\\000\0\eng\d
001440358 019__ $$a1275425984$$a1276775951$$a1287772413
001440358 020__ $$a9783658345297$$q(electronic bk.)
001440358 020__ $$a3658345292$$q(electronic bk.)
001440358 020__ $$z9783658345280$$q(print)
001440358 0247_ $$a10.1007/978-3-658-34529-7$$2doi
001440358 035__ $$aSP(OCoLC)1276853033
001440358 040__ $$aEBLCP$$beng$$epn$$cEBLCP$$dGW5XE$$dYDX$$dEBLCP$$dOCLCF$$dDCT$$dN$T$$dOCLCO$$dAUD$$dOCLCO$$dOCLCQ$$dCOM$$dOCLCO$$dSFB$$dOCLCQ
001440358 0411_ $$aeng$$hger
001440358 049__ $$aISEA
001440358 050_4 $$aQA243
001440358 08204 $$a512.7/3$$223
001440358 1001_ $$aAlfes-Neumann, Claudia.
001440358 24010 $$aModulformen.$$lEnglish
001440358 24510 $$aModular forms :$$bfundamental tools of mathematics /$$cClaudia Alfes-Neumann.
001440358 260__ $$aWiesbaden :$$bSpringer,$$c2021.
001440358 300__ $$a1 online resource (44 pages)
001440358 336__ $$atext$$btxt$$2rdacontent
001440358 337__ $$acomputer$$bc$$2rdamedia
001440358 338__ $$aonline resource$$bcr$$2rdacarrier
001440358 347__ $$atext file
001440358 347__ $$bPDF
001440358 4901_ $$aSpringer essentials
001440358 504__ $$aIncludes bibliographical references.
001440358 5050_ $$aFundamentals of complex analysis -- Modular forms -- Construction of modular forms and examples -- Hecke theory as well as L-functions of modular forms -- The partition function and modular forms of semi-integer weight -- Real-analytic modular forms.
001440358 506__ $$aAccess limited to authorized users.
001440358 520__ $$aIn this essential, Claudia Alfes-Neumann discusses applications of the theory of modular forms and their importance as fundamental tools in mathematics. These functions - initially defined purely analytically - appear in many areas of mathematics: very prominently in number theory, but also in geometry, combinatorics, representation theory, and physics. After explaining necessary basics from complex analysis, the author defines modular forms and shows some applications in number theory. Furthermore, she takes up two important aspects of the theory surrounding modular forms: Hecke operators and L-functions of modular forms. The essentials concludes with an outlook on real-analytic generalizations of modular forms, which play an important role in current research. This Springer essential is a translation of the original German 1st edition essentials, Modulformen by Claudia Alfes-Neumann, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2020. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors. Contents Fundamentals of complex analysis Modular forms Construction of modular forms and examples Hecke theory and L-functions of modular forms The partition function and modular forms of half-integer weight Real-analytic modular forms The target groups Students of mathematics Non-specialist mathematicians and scientists The Author Prof. Dr. Claudia Alfes-Neumann is Professor of Mathematics at Bielefeld University.
001440358 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed October 25, 2021).
001440358 650_0 $$aForms, Modular.
001440358 650_6 $$aFormes modulaires.
001440358 655_0 $$aElectronic books.
001440358 77608 $$iPrint version:$$aAlfes-Neumann, Claudia.$$tModular Forms.$$dWiesbaden : Springer Fachmedien Wiesbaden GmbH, ©2021$$z9783658345280
001440358 830_0 $$aEssentials (Springer VS)
001440358 852__ $$bebk
001440358 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-658-34529-7$$zOnline Access$$91397441.1
001440358 909CO $$ooai:library.usi.edu:1440358$$pGLOBAL_SET
001440358 980__ $$aBIB
001440358 980__ $$aEBOOK
001440358 982__ $$aEbook
001440358 983__ $$aOnline
001440358 994__ $$a92$$bISE