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Elliptic integrals, elliptic functio...

Blumlein, Johannes.

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

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Elliptic integrals, elliptic functions and modular forms in quantum field theory/ edited by Johannes Blumlein, Carsten Schneider, Peter Paule.
其他作者:	Blumlein, Johannes.
出版者:	Cham :Springer International Publishing : : 2019.,
面頁冊數:	xiii, 509 p. :ill. (some col.), digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Elliptic functions. -
電子資源:	https://doi.org/10.1007/978-3-030-04480-0
ISBN:	9783030044800

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

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

576021
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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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 576021
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