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Elliptic integrals, elliptic functio...

Blumlein, Johannes.

Elliptic integrals, elliptic functions and modular forms in quantum field theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Elliptic integrals, elliptic functions and modular forms in quantum field theoryedited by Johannes Blumlein, Carsten Schneider, Peter Paule.
other author:	Blumlein, Johannes.
Published:	Cham :Springer International Publishing :2019.
Description:	xiii, 509 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Elliptic functions.
Online resource:	https://doi.org/10.1007/978-3-030-04480-0
ISBN:	9783030044800$q(electronic bk.)

Elliptic integrals, elliptic functions and modular forms in quantum field theory
Elliptic integrals, elliptic functions and modular forms in quantum field theory[electronic resource] /edited by Johannes Blumlein, Carsten Schneider, Peter Paule. - Cham :Springer International Publishing :2019. - xiii, 509 p. :ill. (some col.), digital ;24 cm. - Texts & monographs in symbolic computation,0943-853X. - Texts & monographs in symbolic computation..

Graph 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.

This 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.

ISBN: 9783030044800$q(electronic bk.)

Standard No.: 10.1007/978-3-030-04480-0doiSubjects--Topical Terms:

277226
Elliptic functions.

LC Class. No.: QA343

Dewey Class. No.: 515.983

Elliptic integrals, elliptic functions and modular forms in quantum field theory
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245 0 0 $a Elliptic integrals, elliptic functions and modular forms in quantum field theory $h [electronic resource] / $c edited by Johannes Blumlein, Carsten Schneider, Peter Paule.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a xiii, 509 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Texts & monographs in symbolic computation, $x 0943-853X
505 0 $a Graph 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 $a This 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 $a Elliptic functions. $3 277226
650 0 $a Forms, Modular. $3 272963
650 0 $a Quantum field theory. $3 203819
650 1 4 $a Symbolic and Algebraic Manipulation. $3 273720
650 2 4 $a Quantum Field Theories, String Theory. $3 389186
650 2 4 $a Mathematical Physics. $3 522725
700 1 $a Blumlein, Johannes. $3 833580
700 1 $a Schneider, Carsten. $3 806735
700 1 $a Paule, Peter. $3 510626
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773 0 $t Springer eBooks
830 0 $a Texts & monographs in symbolic computation. $3 726410
856 4 0 $u https://doi.org/10.1007/978-3-030-04480-0
950 $a Computer Science (Springer-11645)