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Found 20 Documents (Results 1–20)

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Weinzierl, Stefan

Iterated integrals related to Feynman integrals associated to elliptic curves. (English) Zbl 1478.81015

Bluemlein, Johannes (ed.) et al., Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. Texts Monogr. Symb. Comput., 519-545 (2021).
MSC:  81Q30 14H52 11G05 81T18 11F46 11G55 33E05
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Schneider, Carsten

Term algebras, canonical representations and difference ring theory for symbolic summation. (English) Zbl 1484.81078

Bluemlein, Johannes (ed.) et al., Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. Texts Monogr. Symb. Comput., 423-485 (2021).
MSC:  81T18 81V05 68W30 65B10 11Y16
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Raab, Clemens G.

Nested integrals and rationalizing transformations. (English) Zbl 1487.68257

Bluemlein, Johannes (ed.) et al., Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. Texts Monogr. Symb. Comput., 395-422 (2021).
Reviewer: Sonia Pérez Díaz (Madrid)
MSC:  68W30 12H05 33F10 81Q30 81T18
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Kalmykov, Mikhail; Bytev, Vladimir; Kniehl, Bernd A.; Moch, Sven-Olaf; Ward, Bennie F. L.; Yost, Scott A.

Hypergeometric functions and Feynman diagrams. (English) Zbl 1489.33010

Bluemlein, Johannes (ed.) et al., Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. Texts Monogr. Symb. Comput., 189-234 (2021).
Reviewer: Radosław Szmytkowski (Gdańsk)
MSC:  33C65 33C20
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Broedel, Johannes; Kaderli, André

A geometrical framework for amplitude recursions: bridging between trees and loops. (English) Zbl 1484.81093

Bluemlein, Johannes (ed.) et al., Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. Texts Monogr. Symb. Comput., 125-144 (2021).
MSC:  81U05 81T10 81T30 53Z05 30F25 32A40
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Bourjaily, Jacob L.; He, Yang-Hui; McLeod, Andrew J.; Spradlin, Marcus; Vergu, Cristian; Volk, Matthias; von Hippel, Matt; Wilhelm, Matthias

Direct integration for multi-leg amplitudes: tips, tricks, and when they fail. (English) Zbl 1484.81039

Bluemlein, Johannes (ed.) et al., Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. Texts Monogr. Symb. Comput., 107-123 (2021).
MSC:  81Q30 14A21 32Q25 26B15 28C05
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Acres, Kevin; Broadhurst, David

Empirical determinations of Feynman integrals using integer relation algorithms. (English) Zbl 1484.81077

Bluemlein, Johannes (ed.) et al., Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. Texts Monogr. Symb. Comput., 63-82 (2021).
MSC:  81T18 81Q30 81P55 33C10 83C57
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