q-Analogues of Multiple Zeta Values and Their Application in Renormalization (Q3304301)

scientific article

Language	Label	Description	Also known as
English	q-Analogues of Multiple Zeta Values and Their Application in Renormalization	scientific article

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instance of

scholarly article

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title

q-Analogues of Multiple Zeta Values and Their Application in Renormalization (English)

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published in

Springer Proceedings in Mathematics & Statistics

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publication date

5 August 2020

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zbMATH Keywords

$q$-analogues of multiple zeta values

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Rota-Baxter operators

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renormalization

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author

Johannes Maria Singer

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-030-37031-2_11

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cites work

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Multiple zeta values at non-positive integers

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Q4184941

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Irrationality of infinitely many values of the zeta function at odd integers.

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Multiple $q$-zeta values

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Multiple Zeta Values and Modular Forms in Quantum Field Theory

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Mixed Tate motives over $\mathbb{Z}$

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On the decomposition of motivic multiple zeta values

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Irrationality proofs for zeta values, moduli spaces and dinner parties

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On Euler's decomposition formula for $q$MZVs

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UNFOLDING THE DOUBLE SHUFFLE STRUCTURE OF -MULTIPLE ZETA VALUES

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Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem

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Duality and ($q$-)multiple zeta values

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Renormalisation of $q$-regularised multiple zeta values

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The Hopf Algebra of ($q$-)Multiple Polylogarithms with Non-positive Arguments: Table 1.

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Renormalisation group for multiple zeta values

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Desingularization of complex multiple zeta-functions

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Q3166202

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On differential Rota-Baxter algebras.

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Renormalization of multiple zeta values

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The algebra of multiple harmonic series

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Relations of multiple zeta values and their algebraic expression.

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Derivation and double shuffle relations for multiple zeta values

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Quantum calculus

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A VARIATION OF EULER′S APPROACH TO VALUES OF THE RIEMANN ZETA FUNCTION

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An identity of Andrews, multiple integrals, and very-well-poised hypergeometric series

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Hopf Algebras in Renormalisation

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Nested Sums of Symbols and Renormalized Multiple Zeta Values

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Cyclic $q$-MZSV sum

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The parity theorem for multiple polylogarithms

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On $q$-analogues of multiple zeta values

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On Bradley's $q$-MZVs and a generalized Euler decomposition formula

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Q4324348

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Evaluation of the multiple zeta values $\zeta(2,\ldots,2,3,2,\ldots,2)$

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Multiple $q$-zeta functions and multiple $q$-polylogarithms

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One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational

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Algebraic relations for multiple zeta values

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Multiple $q$-zeta brackets

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Identifiers

zbMATH Open document ID

1444.81028

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DOI

10.1007/978-3-030-37031-2_11

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:3304301