00789nam0-2200289 --450 991100198660332120250520163713.0978-88-467-6603-8IT2023-1356720250520d2023----kmuy0itay5050 baitaIT 001yyAbitare la vitaper una teoria dello spazio pubblicoRiccardo PanattoniPisaETS202384 p.21 cmOttantapagine4CittàFilosofia307.760123Panattoni,Riccardo618016ITUNINAREICATUNIMARCBK9911001986603321114 PANR 012025/1934FLFBCFLFBCAbitare la vita4380035UNINA02796nam 22006375 450 991100145650332120250505224231.03-662-71224-510.1007/978-3-662-71224-5(CKB)38696235700041(MiAaPQ)EBC32068813(Au-PeEL)EBL32068813(DE-He213)978-3-662-71224-5(EXLCZ)993869623570004120250501d2025 u| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierElliptic Functions and Modular Forms /by Max Koecher, Aloys Krieg1st ed. 2025.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2025.1 online resource (373 pages)Universitext,2191-66753-662-71223-7 Includes bibliographical references and index.1 Elliptic functions -- 2 Geometry in the upper-half plane and the action of the modular group -- 3 Modular forms -- 4 The Hecke-Petersson theory -- 5 Theta series.The theory of elliptic functions and modular forms is rich and storied, though it has a reputation for difficulty. In this textbook, the authors successfully bridge foundational concepts and advanced material. Following Weierstrass’s approach to elliptic functions, they also cover elliptic curves and complex multiplication. The sections on modular forms, which can be read independently, include discussions of Hecke operators and Dirichlet series. Special emphasis is placed on theta series, with some advanced results included. With detailed proofs and numerous exercises, this book is well-suited for self-study or use as a reference. A companion website provides videos and a discussion forum on the topic.Universitext,2191-6675Functions of complex variablesNumber theoryGeometry, HyperbolicGroup theoryFunctions of a Complex VariableNumber TheoryHyperbolic GeometryGroup Theory and GeneralizationsFunctions of complex variables.Number theory.Geometry, Hyperbolic.Group theory.Functions of a Complex Variable.Number Theory.Hyperbolic Geometry.Group Theory and Generalizations.516.9Koecher Max62857Krieg AloysMiAaPQMiAaPQMiAaPQBOOK9911001456503321Elliptic Functions and Modular Forms4384381UNINA