S. A. Zlobin, “Integrals Expressible as Linear Forms in Generalized Polylogarithms”, Mat. Zametki, 71:5 (2002), 782–787; Math. Notes, 71:5 (2002), 711

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Matematicheskie Zametki, 2002, Volume 71, Issue 5, Pages 782–787
DOI: https://doi.org/10.4213/mzm651 (Mi mzm651)

This article is cited in 17 scientific papers (total in 17 papers)

Brief Communications

Integrals Expressible as Linear Forms in Generalized Polylogarithms

S. A. Zlobin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Full-text PDF (180 kB) Citations (17)

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DOI: https://doi.org/10.4213/mzm651

Received: 15.02.2002

English version:
Mathematical Notes, 2002, Volume 71, Issue 5, Pages 711–716
DOI: https://doi.org/10.1023/A:1015848207473

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: S. A. Zlobin, “Integrals Expressible as Linear Forms in Generalized Polylogarithms”, Mat. Zametki, 71:5 (2002), 782–787; Math. Notes, 71:5 (2002), 711–716

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mzm651

https://doi.org/10.4213/mzm651

https://www.mathnet.ru/eng/mzm/v71/i5/p782

This publication is cited in the following 17 articles:

Fischler S., Rivoal T., “Multiple Zeta Values, Pade Approximation and Vasilyev'S Conjecture”, Ann. Scuola Norm. Super. Pisa-Cl. Sci., 15:SI (2016), 1–24
W. Zudilin, “Arithmetic hypergeometric series”, Russian Math. Surveys, 66:2 (2011), 369–420
T. Rivoal, “Linear forms in zeta values arising from certain Sorokin-type integrals”, J. Math. Sci., 180:5 (2012), 641–649
Brown F. C. S., “Multiple zeta values and periods of moduli spaces $\overline{\mathfrak M}_{0,n}$ ”, Ann. Sci. Éc. Norm. Supér. (4), 42:3 (2009), 371–489
Cresson J., Fischler S., Rivoal T., “Multiple hypergeometric series and polyzetas”, Bull. Soc. Math. France, 136:1 (2008), 97–145
Krattenthaler C., Rivoal T., Hypergéométrie et fonction zêta de Riemann [Hypergeometry and Riemann's zeta function], Mem. Amer. Math. Soc., 186, no. 875, 2007, x+87 pp.
Krattenthaler C., Rivoal T., “An identity of Andrews, multiple integrals, and very-well-poised hypergeometric series”, Ramanujan J., 13:1-3 (2007), 203–219
Kalmykov M. Yu., Ward B. F. L., Yost S. A., “Multiple (inverse) binomial sums of arbitrary weight and depth and the all-order epsilon-expansion of generalized hypergeometric functions with one half-integer value of parameter”, JHEP, 2007, no. 10, 048
Yu. V. Nesterenko, “On an Identity of Mahler”, Math. Notes, 79:1 (2006), 97–108
S. A. Zlobin, “Properties of coefficients of certain linear forms in generalized polylogarithms”, J. Math. Sci., 146:2 (2007), 5655–5668
S. A. Zlobin, “Expansion of Multiple Integrals in Linear Forms”, Math. Notes, 77:5 (2005), 630–652
Zlobin S. A., “Decompositions of multiple integrals into linear forms”, Dokl. Math., 70:2 (2004), 758–761
Fischler S., “Irrationality of zeta values”, Astérisque, 294, 2004, 27–62
W. V. Zudilin, “Algebraic relations for multiple zeta values”, Russian Math. Surveys, 58:1 (2003), 1–29
S. A. Zlobin, “On some integral identities”, Russian Math. Surveys, 57:3 (2002), 617–618
W. V. Zudilin, “Very well-poised hypergeometric series and multiple integrals”, Russian Math. Surveys, 57:4 (2002), 824–826
Fischler S., “Linear forms in multiple zeta values and multiple integrals”, C. R. Math. Acad. Sci. Paris, 335:1 (2002), 1–4

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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