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Found 603 Documents (Results 1–100)

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Dupont, Clément

Recent progress on Zagier’s conjecture and Goncharov’s program (after Goncharov, Rudenko, Gangl, …). (Progrès récents sur la conjecture de Zagier et le programme de Goncharov (d’après Goncharov, Rudenko, Gangl, …).) (French) Zbl 1490.19004

Séminaire Bourbaki. Volume 2019/2021. Exposés 1166–1180. Avec table par noms d’auteurs de 1948/49 à 2019/21. Paris: Société Mathématique de France (SMF). Astérisque 430, 295-343, Exp. No. 1176 (2021).
MSC:  19F27 11R42 19E20 19F15 18M25
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\textit{C. Dupont}, Astérisque 430, 295--343, Exp. No. 1176 (2021; Zbl 1490.19004)
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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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\textit{S. Weinzierl}, in: Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. 519--545 (2021; Zbl 1478.81015)
Full Text: DOI arXiv
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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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\textit{M. Kalmykov} et al., in: Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. 189--234 (2021; Zbl 1489.33010)
Full Text: DOI arXiv
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Chang, Chieh-Yu

Periods, logarithms and multiple zeta values. (English) Zbl 1457.11115

Cheng, Shiu Yuen (ed.) et al., Proceedings of the international consortium of Chinese mathematicians, 2017. First meeting, Guangzhou, Guangdong, China, December 2017. Somerville, MA: International Press. 159-181 (2020).
MSC:  11M32 11M41
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\textit{C.-Y. Chang}, in: Proceedings of the international consortium of Chinese mathematicians, 2017. First meeting, Guangzhou, Guangdong, China, December 2017. Somerville, MA: International Press. 159--181 (2020; Zbl 1457.11115)
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Sarkissian, Gor A.; Spiridonov, Vyacheslav P.

General modular quantum dilogarithm and beta integrals. (English. Russian original) Zbl 1445.81057

Proc. Steklov Inst. Math. 309, 251-270 (2020); translation from Tr. Mat. Inst. Steklova 309, 269-289 (2020).
MSC:  81T60 81T20 11G55 11F03 33D05 81T40
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\textit{G. A. Sarkissian} and \textit{V. P. Spiridonov}, Proc. Steklov Inst. Math. 309, 251--270 (2020; Zbl 1445.81057); translation from Tr. Mat. Inst. Steklova 309, 269--289 (2020)
Full Text: DOI arXiv
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Nakamura, Hiroaki; Wojtkowiak, Zdzisław

On distribution formulas for complex and \(l\)-adic polylogarithms. (English) Zbl 1456.11121

Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Based on the presentations at the research trimester on multiple zeta values, multiple polylogarithms, and quantum field theory, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 593-619 (2020).
MSC:  11G55 19F27 11R70 19D45
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\textit{H. Nakamura} and \textit{Z. Wojtkowiak}, Springer Proc. Math. Stat. 314, 593--619 (2020; Zbl 1456.11121)
Full Text: DOI arXiv
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Ebrahimi-Fard, Kurusch; Gray, W. Steven; Manchon, Dominique

Evaluating generating functions for periodic multiple polylogarithms via rational Chen-Fliess series. (English) Zbl 1456.11161

Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Based on the presentations at the research trimester on multiple zeta values, multiple polylogarithms, and quantum field theory, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 445-468 (2020).
MSC:  11M32 11G55
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\textit{K. Ebrahimi-Fard} et al., Springer Proc. Math. Stat. 314, 445--468 (2020; Zbl 1456.11161)
Full Text: DOI arXiv
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Bachmann, Henrik; Kühn, Ulf

A dimension conjecture for \(q\)-analogues of multiple zeta values. (English) Zbl 1444.81021

Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Outcome of the “Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory”, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 237-258 (2020).
MSC:  81R50 17B37 11M32 11M36 11G55
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\textit{H. Bachmann} and \textit{U. Kühn}, Springer Proc. Math. Stat. 314, 237--258 (2020; Zbl 1444.81021)
Full Text: DOI arXiv
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Bachmann, Henrik

Multiple Eisenstein series and \(q\)-analogues of multiple zeta values. (English) Zbl 1455.11123

Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Based on the presentations at the research trimester on multiple zeta values, multiple polylogarithms, and quantum field theory, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 173-235 (2020).
MSC:  11M32 11M36 11G55
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\textit{H. Bachmann}, Springer Proc. Math. Stat. 314, 173--235 (2020; Zbl 1455.11123)
Full Text: DOI arXiv
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Vergu, Cristian

Polylogarithm identities, cluster algebras and the \(\mathcal{N} = 4\) supersymmetric theory. (English) Zbl 1444.81037

Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Outcome of the “Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory”, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 145-172 (2020).
MSC:  81T60 81T13 81R60 13F60
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\textit{C. Vergu}, Springer Proc. Math. Stat. 314, 145--172 (2020; Zbl 1444.81037)
Full Text: DOI arXiv
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Adams, Luise; Bogner, Christian; Weinzierl, Stefan

The elliptic sunrise. (English) Zbl 1444.81017

Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Outcome of the “Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory”, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 133-143 (2020).
MSC:  81Q30 11G55 33E05
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\textit{L. Adams} et al., Springer Proc. Math. Stat. 314, 133--143 (2020; Zbl 1444.81017)
Full Text: DOI arXiv
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Matthes, Nils

Overview on elliptic multiple zeta values. (English) Zbl 1444.81035

Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Outcome of the “Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory”, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 105-132 (2020).
MSC:  81T40 11M32 11G55 11G05 11M35
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\textit{N. Matthes}, Springer Proc. Math. Stat. 314, 105--132 (2020; Zbl 1444.81035)
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Todorov, Ivan

Perturbative quantum field theory meets number theory. (English) Zbl 1444.81029

Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Outcome of the “Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory”, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 1-28 (2020).
MSC:  81T15 81T18 14C30 11G55 11M32 16T05 16E45
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\textit{I. Todorov}, Springer Proc. Math. Stat. 314, 1--28 (2020; Zbl 1444.81029)
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Mirzoev, K. A.; Safonova, T. A.

Ordinary differential operators and the integral representation of sums of certain power series. (English. Russian original) Zbl 1443.33034

Trans. Mosc. Math. Soc. 2019, 133-151 (2019); translation from Tr. Mosk. Mat. O.-va 80, No. 2, 157-177 (2019).
Reviewer: Symon Serbenyuk (Kyiv)
MSC:  33E20 30B10 34B27 34L10 40A05
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\textit{K. A. Mirzoev} and \textit{T. A. Safonova}, Trans. Mosc. Math. Soc. 2019, 133--151 (2019; Zbl 1443.33034); translation from Tr. Mosk. Mat. O.-va 80, No. 2, 157--177 (2019)
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Yu, Jing

On linear independence of generalized logarithms. (English) Zbl 1442.11110

Ji, Lizhen (ed.) et al., Proceedings of the seventh international congress of Chinese mathematicians, ICCM 2016, Beijing, China, August 2016. Volume I. Somerville, MA: International Press; Beijing: Higher Education Press. Adv. Lect. Math. (ALM) 43, 507-520 (2019).
Reviewer: István Gaál (Debrecen)
MSC:  11J86 11J81 11J85 11J89 11J93
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\textit{J. Yu}, Adv. Lect. Math. (ALM) 43, 507--520 (2019; Zbl 1442.11110)
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Grayson, Daniel R.; Ramakrishnan, Dinakar

Eisenstein series of weight one, \(q\)-averages of the \(0\)-logarithm and periods of elliptic curves. (English) Zbl 1475.11063

Akbary, Amir (ed.) et al., Geometry, algebra, number theory, and their information technology applications. Toronto, Canada, June, 2016, and Kozhikode, India, August, 2016. Cham: Springer. Springer Proc. Math. Stat. 251, 245-266 (2018).
MSC:  11F03 11F67 11G05 11G55
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\textit{D. R. Grayson} and \textit{D. Ramakrishnan}, Springer Proc. Math. Stat. 251, 245--266 (2018; Zbl 1475.11063)
Full Text: DOI arXiv
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