{"product_id":"harmonic-maass-forms-and-mock-modular-forms-9781470419448","title":"Harmonic Maass Forms and Mock Modular Forms","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eModular forms and Jacobi forms play a central role in many areas of mathematics. In recent years, this theory has been extended to certain non-holomorphic functions, the so-called “harmonic Maass forms”. This book contains the essential features of the theory of harmonic Maass forms and mock modular forms.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eThis wonderful book is very exciting to me as it presents some very exotic and beautiful stuff that I, for one, had no notion of...I'm happy to be enlightened, if only in a preliminary way. But this book is tailor-made to lead wayward sons like me back home and to light the right kind of fire under us...Excellent.\" — Michael Berg, \u003cem\u003eMAA Reviews\u003c\/em\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eBackground: Elliptic functions\u003c\/li\u003e\n\u003cli\u003eTheta functions and holomorphic Jacobi forms\u003c\/li\u003e\n\u003cli\u003eClassical Maass forms\u003c\/li\u003e\n\u003cli\u003eHarmonic Maass forms and mock modular forms: The basics\u003c\/li\u003e\n\u003cli\u003eDifferential operators and mock modular forms\u003c\/li\u003e\n\u003cli\u003eExamples of harmonic Maass forms\u003c\/li\u003e\n\u003cli\u003eHecke theory\u003c\/li\u003e\n\u003cli\u003eZwegers' thesis\u003c\/li\u003e\n\u003cli\u003eRamanujan's mock theta functions\u003c\/li\u003e\n\u003cli\u003eHolomorphic projection\u003c\/li\u003e\n\u003cli\u003eMeromorhic Jacobi forms\u003c\/li\u003e\n\u003cli\u003eMock modular Eichler-shimura theory\u003c\/li\u003e\n\u003cli\u003eRelated automorphic forms\u003c\/li\u003e\n\u003cli\u003eApplications: Partitions and unimodal sequences\u003c\/li\u003e\n\u003cli\u003eAsymptotics for coefficients of modular-type functions\u003c\/li\u003e\n\u003cli\u003eHarmonic Maass forms as arithmetic and geometric generating functions\u003c\/li\u003e\n\u003cli\u003eShifted convolution $L$-functions\u003c\/li\u003e\n\u003cli\u003eGeneralized Borcherds products\u003c\/li\u003e\n\u003cli\u003eElliptic curves over $\\mathbb{Q}$\u003c\/li\u003e\n\u003cli\u003eRepresentation theory and mock modular forms\u003c\/li\u003e\n\u003cli\u003eQuantum modular forms\u003c\/li\u003e\n\u003cli\u003eRepresentations of mock theta functions\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003eIndex\u003c\/li\u003e\n\u003cli\u003e\u003cul\u003e\u003c\/ul\u003e\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":50041308578135,"sku":"9781470419448","price":79.2,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470419448.jpg?v=1740181948","url":"https:\/\/bookcurl.com\/products\/harmonic-maass-forms-and-mock-modular-forms-9781470419448","provider":"Book Curl","version":"1.0","type":"link"}