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020 _a9783031326295
_9978-3-031-32629-5
024 7 _a10.1007/978-3-031-32629-5
_2doi
050 4 _aQA1-939
072 7 _aPB
_2bicssc
072 7 _aMAT000000
_2bisacsh
072 7 _aPB
_2thema
082 0 4 _a510
_223
100 1 _aAygin, Zafer Selcuk.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_988537
245 1 0 _aIntroduction to Applications of Modular Forms
_h[electronic resource] :
_bComputational Aspects /
_cby Zafer Selcuk Aygin.
250 _a1st ed. 2023.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2023.
300 _aX, 169 p. 1 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
505 0 _aDirichlet Characters -- Modular Forms: Definition and Some Properties -- Application: Quadratic Forms -- Application: Eta Quotients -- Various Applications.
520 _aThis book is a self-contained treatment for those who study or work on the computational aspects of classical modular forms. The author describes the theory of modular forms and its applications in number theoretic problems such as representations by quadratic forms and the determination of asymptotic formulas for Fourier coefficients of different types of special functions. A detailed account of recent applications of modular forms in number theory with a focus on using computer algorithms is provided. Computer algorithms are included for each presented application to help readers put the theory in context and make new conjectures. In addition, this book: Describes the theory of modular forms and its applications in number theoretic problems Provides a resource for people who study or work on the computational aspects of classical modular forms Includes computer algorithms to help readers conjecture new results and prove them using the presented theory.
650 0 _aMathematics.
_911584
650 0 _aMathematics
_xData processing.
_919904
650 0 _aNumber theory.
_913208
650 1 4 _aMathematics.
_911584
650 2 4 _aComputational Mathematics and Numerical Analysis.
_931598
650 2 4 _aComputational Number Theory.
_947946
710 2 _aSpringerLink (Online service)
_988538
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031326288
776 0 8 _iPrinted edition:
_z9783031326301
776 0 8 _iPrinted edition:
_z9783031326318
830 0 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
_988539
856 4 0 _uhttps://doi.org/10.1007/978-3-031-32629-5
912 _aZDB-2-SXSC
942 _cEBK
999 _c86265
_d86265