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Found 1,003 Documents (Results 1–100)

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Golyshev, Vasily; Zagier, Don

Interpolated Apéry numbers, quasiperiods of modular forms, and motivic gamma functions. (English) Zbl 07377941

Novikov, Sergey (ed.) et al., Integrability, quantization, and geometry II. Quantum theories and algebraic geometry. Dedicated to the memory of Boris Dubrovin 1950–2019. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 103, Part 2, 281-301 (2021).
MSC:  11F67 11M41
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\textit{V. Golyshev} and \textit{D. Zagier}, Proc. Symp. Pure Math. 103, 281--301 (2021; Zbl 07377941)
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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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Essouabri, Driss

On mean values of multivariable complex valued multiplicative functions and applications. (English) Zbl 1471.11250

Mishou, Hidehiko (ed.) et al., Various aspects of multiple zeta functions – in honor of Professor Kohji Matsumoto’s 60th birthday. Proceedings of the international conference, Nagoya University, Nagoya, Japan August 21–25, 2020. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 84, 23-64 (2020).
Reviewer: B. Z. Moroz (Bonn)
MSC:  11N37 11M32 11M41 11R42 11R52 11S40 11S45 14G10 11E45 11F66 11F70 11F72 11P21
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\textit{D. Essouabri}, Adv. Stud. Pure Math. 84, 23--64 (2020; Zbl 1471.11250)
Full Text: DOI Euclid
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Ceyhan, Özgür; Marcolli, Matilde

Feynman integrals and periods in configuration spaces. (English) Zbl 1456.81192

Ebrahimi-Fard, K. (ed.) et al., Amplitudes, Hodge theory and ramification. From periods and motives to Feynman amplitudes. Lectures presented at the Clay Mathematics Institute 2014 summer school, “Periods and Motives: Feynman amplitudes in the 21st century”, Madrid, Spain, June 30 – July 25, 2014. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute. Clay Math. Proc. 21, 35-102 (2020).
Reviewer: Alexander Hock (Münster)
MSC:  81Q30 81T18 35J08 42C05 11M32 14C15
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\textit{Ö. Ceyhan} and \textit{M. Marcolli}, Clay Math. Proc. 21, 35--102 (2020; Zbl 1456.81192)
Full Text: DOI arXiv
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Thakur, Dinesh S.

Multizeta in function field arithmetic. (English) Zbl 1441.11222

Böckle, Gebhard (ed.) et al., \(t\)-motives: Hodge structures, transcendence and other motivic aspects. EMS Series of Congress Reports. Zürich: European Mathematical Society (EMS). 441-452 (2020).
MSC:  11M32 11G09 11R58 11M38
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\textit{D. S. Thakur}, in: \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zürich: European Mathematical Society (EMS). 441--452 (2020; Zbl 1441.11222)
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Neumann, Frank (ed.); Schroll, Sibylle (ed.)

Galois covers, Grothendieck-Teichmüller theory and dessins d’enfants. Interactions between geometry, topology, number theory and algebra. Proceedings from the London Mathematical Society Midlands regional meeting and workshop, Leicester, UK, June 4–7, 2018. (English) Zbl 1459.11005

Springer Proceedings in Mathematics & Statistics 330. Cham: Springer (ISBN 978-3-030-51794-6/hbk; 978-3-030-51795-3/ebook). viii, 240 p. (2020).
MSC:  11-06 14-06 11M32 14G32 14H30 14H57 00B25
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\textit{F. Neumann} (ed.) and \textit{S. Schroll} (ed.), Galois covers, Grothendieck-Teichmüller theory and dessins d'enfants. Interactions between geometry, topology, number theory and algebra. Proceedings from the London Mathematical Society Midlands regional meeting and workshop, Leicester, UK, June 4--7, 2018. Cham: Springer (2020; Zbl 1459.11005)
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Singer, Johannes

\(q\)-analogues of multiple zeta values and their application in renormalization. (English) Zbl 1444.81028

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, 293-325 (2020).
MSC:  81T15 81T17 11M32 17B38
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\textit{J. Singer}, Springer Proc. Math. Stat. 314, 293--325 (2020; Zbl 1444.81028)
Full Text: DOI
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Zhao, Jianqiang

Uniform approach to double shuffle and duality relations of various \(q\)-analogs of multiple zeta values via Rota-Baxter algebras. (English) Zbl 1444.81023

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, 259-292 (2020).
MSC:  81R50 17B37 11M32 11M36 17B38
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\textit{J. Zhao}, Springer Proc. Math. Stat. 314, 259--292 (2020; Zbl 1444.81023)
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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Stieberger, S.

Periods and superstring amplitudes. (English) Zbl 1444.81034

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, 45-76 (2020).
MSC:  81T30 81T15 11M32 81U05 18E10 11G15
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\textit{S. Stieberger}, Springer Proc. Math. Stat. 314, 45--76 (2020; Zbl 1444.81034)
Full Text: DOI arXiv
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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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