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020 _a9783030044800
_9978-3-030-04480-0
024 7 _a10.1007/978-3-030-04480-0
_2doi
050 4 _aQA76.9.M35
072 7 _aUYAM
_2bicssc
072 7 _aCOM014000
_2bisacsh
072 7 _aUYAM
_2thema
082 0 4 _a005.131
_223
245 1 0 _aElliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory
_h[electronic resource] /
_cedited by Johannes Blümlein, Carsten Schneider, Peter Paule.
250 _a1st ed. 2019.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2019.
300 _aXIII, 509 p. 134 illus., 54 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aTexts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,
_x2197-8409
505 0 _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.
520 _aThis book includes review articles in the field of elliptic integrals, elliptic functions and modular forms intending to foster the discussion between theoretical physicists working on higher loop calculations and mathematicians working in the field of modular forms and functions and analytic solutions of higher order differential and difference equations. .
650 0 _aComputer science
_xMathematics.
650 0 _aElementary particles (Physics).
650 0 _aQuantum field theory.
650 0 _aMathematical physics.
650 1 4 _aSymbolic and Algebraic Manipulation.
650 2 4 _aElementary Particles, Quantum Field Theory.
650 2 4 _aMathematical Physics.
700 1 _aBlümlein, Johannes.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aSchneider, Carsten.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aPaule, Peter.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030044794
776 0 8 _iPrinted edition:
_z9783030044817
830 0 _aTexts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,
_x2197-8409
856 4 0 _uhttps://doi.org/10.1007/978-3-030-04480-0
912 _aZDB-2-SCS
912 _aZDB-2-SXCS
942 _cSPRINGER
999 _c173554
_d173554