Marcovecchio, Raffaele; Zudilin, Wadim Hypergeometric rational approximations to \(\zeta (4)\). (English) Zbl 07191416 Proc. Edinb. Math. Soc., II. Ser. 63, No. 2, 374-397 (2020). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J82 11Y60 33C20 33C60 PDF BibTeX XML Cite \textit{R. Marcovecchio} and \textit{W. Zudilin}, Proc. Edinb. Math. Soc., II. Ser. 63, No. 2, 374--397 (2020; Zbl 07191416) Full Text: DOI
Dupont, Clément Odd zeta motive and linear forms in odd zeta values. (English) Zbl 06835474 Compos. Math. 154, No. 2, 342-379 (2018). MSC: 11M06 14F42 14G10 PDF BibTeX XML Cite \textit{C. Dupont}, Compos. Math. 154, No. 2, 342--379 (2018; Zbl 06835474) Full Text: DOI arXiv
Androsenko, V. A.; Salikhov, V. Kh. Symmetrized version of the Markovecchio integral in the theory of Diophantine approximations. (English. Russian original) Zbl 1322.11081 Math. Notes 97, No. 4, 493-501 (2015); translation from Mat. Zametki 97, No. 4, 483-492 (2015). Reviewer: Peter Bundschuh (Köln) MSC: 11J82 11J72 PDF BibTeX XML Cite \textit{V. A. Androsenko} and \textit{V. Kh. Salikhov}, Math. Notes 97, No. 4, 493--501 (2015; Zbl 1322.11081); translation from Mat. Zametki 97, No. 4, 483--492 (2015) Full Text: DOI
Zudilin, Wadim Two hypergeometric tales and a new irrationality measure of \(\zeta (2)\). (English) Zbl 1307.11085 Ann. Math. Qué. 38, No. 1, 101-117 (2014). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J82 11Y60 33C20 33C60 PDF BibTeX XML Cite \textit{W. Zudilin}, Ann. Math. Qué. 38, No. 1, 101--117 (2014; Zbl 1307.11085) Full Text: DOI arXiv
Rivoal, Tanguy Linear forms in zeta values arising from certain Sorokin-type integrals. (English. Russian original) Zbl 1345.11050 J. Math. Sci., New York 180, No. 5, 641-649 (2012); translation from Fundam. Prikl. Mat. 16, No. 5, 161-172 (2010). MSC: 11J72 11M32 PDF BibTeX XML Cite \textit{T. Rivoal}, J. Math. Sci., New York 180, No. 5, 641--649 (2012; Zbl 1345.11050); translation from Fundam. Prikl. Mat. 16, No. 5, 161--172 (2010) Full Text: DOI
Viola, C. On the equivalence of Beukers-type and Sorokin-type multiple integrals. (English. Russian original) Zbl 1345.11052 J. Math. Sci., New York 180, No. 5, 561-568 (2012); translation from Fundam. Prikl. Mat. 16, No. 5, 49-59 (2010). MSC: 11J72 14E05 PDF BibTeX XML Cite \textit{C. Viola}, J. Math. Sci., New York 180, No. 5, 561--568 (2012; Zbl 1345.11052); translation from Fundam. Prikl. Mat. 16, No. 5, 49--59 (2010) Full Text: DOI
Polyanskiĭ, A. A. On the quadratic exponent of irrationality of \(\ln 2\). (English. Russian original) Zbl 1305.11064 Mosc. Univ. Math. Bull. 67, No. 1, 23-28 (2012); translation from Vestn. Mosk. Univ., Ser. I 67, No. 1, 25-30 (2012). MSC: 11J82 PDF BibTeX XML Cite \textit{A. A. Polyanskiĭ}, Mosc. Univ. Math. Bull. 67, No. 1, 23--28 (2012; Zbl 1305.11064); translation from Vestn. Mosk. Univ., Ser. I 67, No. 1, 25--30 (2012) Full Text: DOI
Marcovecchio, Raffaele; Viola, Carlo Irrationality and nonquadraticity measures for logarithms of algebraic numbers. (English) Zbl 1271.11076 J. Aust. Math. Soc. 92, No. 2, 237-267 (2012). Reviewer: Jan Šustek (Ostrava) MSC: 11J82 11J17 11J72 30E20 PDF BibTeX XML Cite \textit{R. Marcovecchio} and \textit{C. Viola}, J. Aust. Math. Soc. 92, No. 2, 237--267 (2012; Zbl 1271.11076) Full Text: DOI
Nesterenko, Yu. V. On the irrationality exponent of the number \(\ln 2\). (English. Russian original) Zbl 1241.11085 Math. Notes 88, No. 4, 530-543 (2010); translation from Mat. Zametki 88, No. 4, 549-564 (2010). Reviewer: Peter Bundschuh (Köln) MSC: 11J82 PDF BibTeX XML Cite \textit{Yu. V. Nesterenko}, Math. Notes 88, No. 4, 530--543 (2010; Zbl 1241.11085); translation from Mat. Zametki 88, No. 4, 549--564 (2010) Full Text: DOI
Bombieri, E. The classical theory of zeta and \(L\)-functions. (English) Zbl 1275.11117 Milan J. Math. 78, No. 1, 11-59 (2010). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11M06 11-03 11M36 11M38 11M50 PDF BibTeX XML Cite \textit{E. Bombieri}, Milan J. Math. 78, No. 1, 11--59 (2010; Zbl 1275.11117) Full Text: DOI
Fischler, Stéphane; Zudilin, Wadim A refinement of Nesterenko’s linear independence criterion with applications to zeta values. (English) Zbl 1206.11088 Math. Ann. 347, No. 4, 739-763 (2010). Reviewer: Peter Bundschuh (Köln) MSC: 11J72 PDF BibTeX XML Cite \textit{S. Fischler} and \textit{W. Zudilin}, Math. Ann. 347, No. 4, 739--763 (2010; Zbl 1206.11088) Full Text: DOI
Fischler, Stéphane Restricted rational approximation and Apéry-type constructions. (English) Zbl 1198.11057 Indag. Math., New Ser. 20, No. 2, 201-215 (2009). Reviewer: Roland Quême (Brax) MSC: 11J17 11J82 PDF BibTeX XML Cite \textit{S. Fischler}, Indag. Math., New Ser. 20, No. 2, 201--215 (2009; Zbl 1198.11057) Full Text: DOI
Chu, Wenchang; Wang, Xiaoxia Abel’s method on summation by parts and hypergeometric contiguous relations. (English) Zbl 1130.33002 Integral Transforms Spec. Funct. 18, No. 11, 771-807 (2007). Reviewer: Wadim Zudilin (Moskva) MSC: 33C20 65B10 PDF BibTeX XML Cite \textit{W. Chu} and \textit{X. Wang}, Integral Transforms Spec. Funct. 18, No. 11, 771--807 (2007; Zbl 1130.33002) Full Text: DOI
Bovykin, Andrey Unprovability of sharp versions of Friedman’s sine-principle. (English) Zbl 1116.03053 Proc. Am. Math. Soc. 135, No. 9, 2967-2973 (2007). MSC: 03F30 05D10 PDF BibTeX XML Cite \textit{A. Bovykin}, Proc. Am. Math. Soc. 135, No. 9, 2967--2973 (2007; Zbl 1116.03053) Full Text: DOI
Hessami Pilehrood, Khodabakhsh; Hessami Pilehrood, Tatiana; Zudilin, Wadim Irrationality of certain numbers that contain values of the di- and trilogarithm. (English) Zbl 1105.11021 Math. Z. 254, No. 2, 299-313 (2006). Reviewer: Tanguy Rivoal (Grenoble) MSC: 11J72 11G55 33C20 33C60 PDF BibTeX XML Cite \textit{K. Hessami Pilehrood} et al., Math. Z. 254, No. 2, 299--313 (2006; Zbl 1105.11021) Full Text: DOI
Viola, Carlo; Rhin, Georges The permutation group method for the dilogarithm. (English) Zbl 1170.11316 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 4, No. 3, 389-437 (2005). MSC: 11J82 33B30 20B35 PDF BibTeX XML Cite \textit{C. Viola} and \textit{G. Rhin}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 4, No. 3, 389--437 (2005; Zbl 1170.11316) Full Text: EuDML
Zudilin, Wadim Arithmetic of linear forms involving odd zeta values. (English) Zbl 1156.11327 J. Théor. Nombres Bordx. 16, No. 1, 251-291 (2004). MSC: 11J72 11M06 33D15 PDF BibTeX XML Cite \textit{W. Zudilin}, J. Théor. Nombres Bordx. 16, No. 1, 251--291 (2004; Zbl 1156.11327) Full Text: DOI Numdam EuDML
Bundschuh, Peter; Zudilin, Wadim On theorems of Gelfond and Selberg concerning integral-valued entire functions. (English) Zbl 1081.11051 J. Approximation Theory 130, No. 2, 164-178 (2004). Reviewer: Michel Waldschmidt (Paris) MSC: 11J81 30D15 PDF BibTeX XML Cite \textit{P. Bundschuh} and \textit{W. Zudilin}, J. Approx. Theory 130, No. 2, 164--178 (2004; Zbl 1081.11051) Full Text: DOI
Zudilin, Wadim Well-poised hypergeometric series for Diophantine problems of zeta values. (English) Zbl 1156.11326 J. Théor. Nombres Bordx. 15, No. 2, 593-626 (2003). MSC: 11J72 11J81 33C20 PDF BibTeX XML Cite \textit{W. Zudilin}, J. Théor. Nombres Bordx. 15, No. 2, 593--626 (2003; Zbl 1156.11326) Full Text: DOI Numdam EuDML
Viola, Carlo Birational transformations and values of the Riemann zeta-function. (English) Zbl 1074.11041 J. Théor. Nombres Bordx. 15, No. 2, 561-592 (2003). Reviewer: Peter Bundschuh (Köln) MSC: 11J82 PDF BibTeX XML Cite \textit{C. Viola}, J. Théor. Nombres Bordx. 15, No. 2, 561--592 (2003; Zbl 1074.11041) Full Text: DOI Numdam EuDML
Fischler, Stéphane Rhin-Viola groups and multiple integrals. (Groupes de Rhin-Viola et intégrales multiples.) (French) Zbl 1074.11040 J. Théor. Nombres Bordx. 15, No. 2, 479-534 (2003). Reviewer: Peter Bundschuh (Köln) MSC: 11J82 PDF BibTeX XML Cite \textit{S. Fischler}, J. Théor. Nombres Bordx. 15, No. 2, 479--534 (2003; Zbl 1074.11040) Full Text: DOI Numdam EuDML
Rivoal, Tanguy Hypergeometric series and irrationality of the values of the Riemann zeta function. (Séries hypergéométriques et irrationalité des valeurs de la fonction zêta de Riemann.) (French) Zbl 1041.11051 J. Théor. Nombres Bordx. 15, No. 1, 351-365 (2003). Reviewer: John H. Loxton (North Ryde) MSC: 11J72 11M06 33C05 PDF BibTeX XML Cite \textit{T. Rivoal}, J. Théor. Nombres Bordx. 15, No. 1, 351--365 (2003; Zbl 1041.11051) Full Text: DOI Numdam EuDML
Rivoal, Tanguy Selberg’s integral and linear forms in zeta values. (English) Zbl 1044.11065 J. Comput. Appl. Math. 160, No. 1-2, 265-270 (2003). Reviewer: Hari M. Srivastava (Victoria) MSC: 11J72 11M41 PDF BibTeX XML Cite \textit{T. Rivoal}, J. Comput. Appl. Math. 160, No. 1--2, 265--270 (2003; Zbl 1044.11065) Full Text: DOI
Fischler, Stéphane Linear forms in multiple zeta values and multiple integrals. (Formes linéaires en polyzêtas et intégrales multiples.) (French) Zbl 1017.11048 C. R., Math., Acad. Sci. Paris 335, No. 1, 1-4 (2002). Reviewer: John H.Loxton (North Ryde) MSC: 11M41 11J72 11G55 PDF BibTeX XML Cite \textit{S. Fischler}, C. R., Math., Acad. Sci. Paris 335, No. 1, 1--4 (2002; Zbl 1017.11048) Full Text: DOI