000938419 000__ 02902cam\a2200457Ia\4500 000938419 001__ 938419 000938419 005__ 20230306151937.0 000938419 006__ m\\\\\o\\d\\\\\\\\ 000938419 007__ cr\un\nnnunnun 000938419 008__ 200722s2020\\\\sz\\\\\\o\\\\\000\0\eng\d 000938419 019__ $$a1175913076$$a1178999679$$a1182447085$$a1182917090$$a1183927806 000938419 020__ $$a9783030424008$$q(electronic book) 000938419 020__ $$a3030424006$$q(electronic book) 000938419 020__ $$z3030423999 000938419 020__ $$z9783030423995 000938419 0247_ $$a10.1007/978-3-030-42 000938419 035__ $$aSP(OCoLC)on1176247285 000938419 035__ $$aSP(OCoLC)1176247285$$z(OCoLC)1175913076$$z(OCoLC)1178999679$$z(OCoLC)1182447085$$z(OCoLC)1182917090$$z(OCoLC)1183927806 000938419 040__ $$aYDX$$beng$$cYDX$$dGW5XE$$dEBLCP$$dLQU 000938419 049__ $$aISEA 000938419 050_4 $$aQA165 000938419 08204 $$a512.7/3$$223 000938419 24500 $$aPartition functions and automorphic forms /$$cValery A. Gritsenko, Vyacheslav P. Spiridonov, editors. 000938419 260__ $$aCham :$$bSpringer,$$c2020. 000938419 300__ $$a1 online resource 000938419 336__ $$atext$$btxt$$2rdacontent 000938419 337__ $$acomputer$$bc$$2rdamedia 000938419 338__ $$aonline resource$$bcr$$2rdacarrier 000938419 4901_ $$aMoscow lectures,$$x2522-0314 ;$$vv. 5 000938419 506__ $$aAccess limited to authorized users. 000938419 520__ $$aThis book offers an introduction to the research in several recently discovered and actively developing mathematical and mathematical physics areas. It focuses on: 1) Feynman integrals and modular functions, 2) hyperbolic and Lorentzian Kac-Moody algebras, related automorphic forms and applications to quantum gravity, 3) superconformal indices and elliptic hypergeometric integrals, related instanton partition functions, 4) moonshine, its arithmetic aspects, Jacobi forms, elliptic genus, and string theory, and 5) theory and applications of the elliptic Painleve equation, and aspects of Painleve equations in quantum field theories. All the topics covered are related to various partition functions emerging in different supersymmetric and ordinary quantum field theories in curved space-times of different (d=2,3,...,6) dimensions. Presenting multidisciplinary methods (localization, Borcherds products, theory of special functions, Cremona maps, etc) for treating a range of partition functions, the book is intended for graduate students and young postdocs interested in the interaction between quantum field theory and mathematics related to automorphic forms, representation theory, number theory and geometry, and mirror symmetry. 000938419 650_0 $$aPartitions (Mathematics) 000938419 650_0 $$aAutomorphic forms. 000938419 7001_ $$aGritsenko, Valery A. 000938419 7001_ $$aSpiridonov, V. P.$$q(Vyacheslav P.) 000938419 77608 $$iPrint version: $$z3030423999$$z9783030423995$$w(OCoLC)1138671425 000938419 830_0 $$aMoscow lectures ;$$vv. 5. 000938419 852__ $$bebk 000938419 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-030-42400-8$$zOnline Access$$91397441.1 000938419 909CO $$ooai:library.usi.edu:938419$$pGLOBAL_SET 000938419 980__ $$aEBOOK 000938419 980__ $$aBIB 000938419 982__ $$aEbook 000938419 983__ $$aOnline 000938419 994__ $$a92$$bISE