001441118 000__ 03989cam\a2200601\i\4500 001441118 001__ 1441118 001441118 003__ OCoLC 001441118 005__ 20230309004720.0 001441118 006__ m\\\\\o\\d\\\\\\\\ 001441118 007__ cr\un\nnnunnun 001441118 008__ 211201s2021\\\\sz\a\\\\o\\\\\100\0\eng\d 001441118 019__ $$a1286925150$$a1286955538$$a1287131833$$a1292518237$$a1294362155 001441118 020__ $$a9783030802196$$q(electronic bk.) 001441118 020__ $$a3030802191$$q(electronic bk.) 001441118 020__ $$z9783030802189 001441118 020__ $$z3030802183 001441118 0247_ $$a10.1007/978-3-030-80219-6$$2doi 001441118 035__ $$aSP(OCoLC)1286795466 001441118 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dEBLCP$$dOCLCF$$dDKU$$dOCLCO$$dDCT$$dOCLCQ$$dOCLCO$$dUKAHL$$dOCLCQ 001441118 049__ $$aISEA 001441118 050_4 $$aQC174.17.F45$$bA58 2021 001441118 08204 $$a530.15$$223 001441118 24500 $$aAnti-differentiation and the calculation of Feynman amplitudes /$$cJohannes Blümlein, Carsten Schneider, editors. 001441118 264_1 $$aCham :$$bSpringer,$$c[2021] 001441118 264_4 $$c©2021 001441118 300__ $$a1 online resource :$$billustrations (some color) 001441118 336__ $$atext$$btxt$$2rdacontent 001441118 337__ $$acomputer$$bc$$2rdamedia 001441118 338__ $$aonline resource$$bcr$$2rdacarrier 001441118 347__ $$atext file 001441118 347__ $$bPDF 001441118 4901_ $$aTexts & monographs in symbolic computation,$$x2197-8409 001441118 5050_ $$aGraph complexes and Cutkosky rules -- Differential equations and dispersion relations for Feynman amplitudes with elliptic functions -- Elliptic integrals and the two-loop ttbar production in QCD -- Solutions of 2nd and 3rd order differential equations with more singularities -- Analytic continuation of Feynman diagrams with elliptic solutions -- Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes -- Genus one superstring amplitudes and modular forms -- Difference field methods in Feynman diagram calculations -- Feynman integrals and iterated integrals of modular forms -- Iterated elliptic and hypergeometric integrals for Feynman diagrams. -- Feynman integrals, L-series and Kloosterman moments. 001441118 506__ $$aAccess limited to authorized users. 001441118 520__ $$aThis volume comprises review papers presented at the Conference on Antidifferentiation and the Calculation of Feynman Amplitudes, held in Zeuthen, Germany, in October 2020, and a few additional invited reviews. The book aims at comprehensive surveys and new innovative results of the analytic integration methods of Feynman integrals in quantum field theory. These methods are closely related to the field of special functions and their function spaces, the theory of differential equations and summation theory. Almost all of these algorithms have a strong basis in computer algebra. The solution of the corresponding problems are connected to the analytic management of large data in the range of Giga- to Terabytes. The methods are widely applicable to quite a series of other branches of mathematics and theoretical physics. 001441118 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed December 6, 2021). 001441118 650_0 $$aFeynman integrals$$vCongresses. 001441118 650_6 $$aIntégrales de Feynman$$vCongrès. 001441118 655_7 $$aConference papers and proceedings.$$2fast$$0(OCoLC)fst01423772 001441118 655_7 $$aConference papers and proceedings.$$2lcgft 001441118 655_7 $$aActes de congrès.$$2rvmgf 001441118 655_0 $$aElectronic books. 001441118 7001_ $$aBlümlein, J.$$q(Johannes),$$eeditor. 001441118 7001_ $$aSchneider, Carsten,$$eeditor. 001441118 7112_ $$aConference on Antidifferentiation and the Calculation of Feynman Amplitudes$$d(2020 :$$cZeuthen, Germany) 001441118 77608 $$iPrint version:$$tAnti-differentiation and the calculation of Feynman amplitudes.$$dCham : Springer, [2021]$$z3030802183$$z9783030802189$$w(OCoLC)1255173977 001441118 830_0 $$aTexts and monographs in symbolic computation.$$x2197-8409 001441118 852__ $$bebk 001441118 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-80219-6$$zOnline Access$$91397441.1 001441118 909CO $$ooai:library.usi.edu:1441118$$pGLOBAL_SET 001441118 980__ $$aBIB 001441118 980__ $$aEBOOK 001441118 982__ $$aEbook 001441118 983__ $$aOnline 001441118 994__ $$a92$$bISE