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ЖУРНАЛЫ // Записки научных семинаров ПОМИ

Зап. научн. сем. ПОМИ, 2005, том 322, страницы 107–124 (Mi znsl396)

Approximations to $q$-logarithms and $q$-dilogarithms, with applications to $q$-zeta values
W. Zudilin

Эта публикация цитируется в следующих статьяx:
  1. Wadim Zudilin, “On the irrationality of generalized q-logarithm”, Res. Number Theory, 2:1 (2016)  crossref
  2. Luca F., Tachiya Y., “Linear Independence of Certain Lambert Series”, Proc. Amer. Math. Soc., 142:10 (2014), PII S0002-9939(2014)12102-2, 3411–3419  crossref  mathscinet  zmath  isi  elib  scopus
  3. Chen Sh., Singer M.F., “on the Summability of Bivariate Rational Functions”, J. Algebra, 409 (2014), 320–343  crossref  mathscinet  zmath  isi  elib  scopus
  4. Toufik Mansour, Mark Shattuck, “A $q$ -analog of the hyperharmonic numbers”, Afr. Mat., 25:1 (2014), 147  crossref
  5. В. В. Зудилин, “Арифметические гипергеометрические ряды”, УМН, 66:2(398) (2011), 163–216  mathnet  crossref  mathscinet  zmath  adsnasa  elib; W. Zudilin, “Arithmetic hypergeometric series”, Russian Math. Surveys, 66:2 (2011), 369–420  crossref  isi  elib
  6. Merila V., “A Nonvanishing Lemma for Certain Pade Approximations of the Second Kind”, Int J Number Theory, 7:8 (2011), 1977–1997  crossref  mathscinet  zmath  isi
  7. Koelink E., Van Assche W., “Leonhard Euler and a $q$-analogue of the logarithm”, Proc. Amer. Math. Soc., 137:5 (2009), 1663–1676  crossref  mathscinet  zmath  isi  elib  scopus
  8. Merilä V., “On arithmetical properties of certain $q$-series”, Results Math., 53:1–2 (2009), 129–151  crossref  mathscinet  zmath  isi  elib  scopus
  9. Smet Ch., Van Assche W., “Irrationality proof of a q-extension of zeta(2) using little q-Jacobi polynomials”, Acta Arith, 138:2 (2009), 165–178  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
  10. Amano K., Tachiya Y., “On the irrationality measure for certain series”, Monatsh Math, 156:1 (2009), 1–9  crossref  mathscinet  zmath  isi  elib  scopus
  11. Pashaev O.K., Yilmaz O., “Vortex images and $q$-elementary functions”, J. Phys. A, 41:13 (2008), 135207, 29 pp.  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
  12. Arnano K., Tachiya Y., “Measure of irrationality for certain infinite series”, Diophantine Analysis and Related Fields - Darf 2007/2008, AIP Conference Proceedings, 976, 2008, 1–6  crossref  mathscinet  adsnasa  isi  scopus
  13. Bundschuh P., Vanananen K., “Linear independence of certain Lambert and allied series”, Acta Arith, 120:2 (2005), 197–209  crossref  mathscinet  zmath  adsnasa  isi  scopus


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