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Record Nr. |
UNINA9910337582103321 |
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Titolo |
Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory / / edited by Johannes Blümlein, Carsten Schneider, Peter Paule |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
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ISBN |
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Edizione |
[1st ed. 2019.] |
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Descrizione fisica |
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1 online resource (511 pages) |
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Collana |
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Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria, , 0943-853X |
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Disciplina |
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Soggetti |
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Computer science—Mathematics |
Quantum field theory |
String theory |
Mathematical physics |
Symbolic and Algebraic Manipulation |
Quantum Field Theories, String Theory |
Mathematical Physics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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 |
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mathematicians working in the field of modular forms and functions and analytic solutions of higher order differential and difference equations. . |
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