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.
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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.
Ngôn ngữ Anh ● định dạng PDF ● Trang 509 ● ISBN 9783030044800 ● Kích thước tập tin 10.6 MB ● Biên tập viên Johannes Blümlein & Carsten Schneider ● Nhà xuất bản Springer International Publishing ● Thành phố Cham ● Quốc gia CH ● Được phát hành 2019 ● Có thể tải xuống 24 tháng ● Tiền tệ EUR ● TÔI 6868034 ● Sao chép bảo vệ DRM xã hội
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