On a permutation group related to ζ(2)
From MaRDI portal
Publication:4895466
DOI10.4064/aa-77-1-23-56zbMath0864.11037OpenAlexW1462137042MaRDI QIDQ4895466
Publication date: 22 June 1997
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/206906
irrationality measureRiemann zeta-functionpermutation group\(p\)-adic valuations\(\zeta(2)\)JFM 35.0320.01
Related Items
Irrationality of certain numbers that contain values of the di- and trilogarithm, On the quadratic exponent of irrationality of \(\ln 2\), Unnamed Item, Approximating $\ln 2$ by numbers in the field $ {\mathbb{Q}}(\sqrt{2}\,)$, Simultaneous Padé approximants to the Euler, exponential and logarithmic functions, On the average value of the first \(n\) values of the Euler function, Linear independence of 1, \(\operatorname{Li}_1\) and \(\operatorname{Li}_2\), On the average value of the first $ n $ values of the sum-of-divisors function, Diophantine approximations. Abstracts from the workshop held April 17--23, 2022, Odd zeta motive and linear forms in odd zeta values, Linear independence of dilogarithmic values, Selberg's integral and linear forms in zeta values., Can polylogarithms at algebraic points be linearly independent?, Two integral transformations related to \(\zeta (2)\), Construction of Approximations to Zeta-Values, New Irrationality Results for Dilogarithms of Rational Numbers, Hypergeometric series and irrationality of the values of the Riemann zeta function, On the irrationality exponent of the number \(\ln 2\), Convergents and irrationality measures of logarithms, Séries hypergéométriques multiples et polyzêtas, Unnamed Item, Constructible sets of linear differential equations and effective rational approximations of polylogarithmic functions, Linear forms in zeta values arising from certain Sorokin-type integrals, On theorems of Gelfond and Selberg concerning integral-valued entire functions, Rhin-Viola groups and multiple integrals, Birational transformations and values of the Riemann zeta-function, Well-poised hypergeometric series for Diophantine problems of zeta values, Arithmetic of linear forms involving odd zeta values, Hypergeometric rational approximations to ζ(4), On simultaneous Diophantine approximations to \(\zeta(2)\) and \(\zeta(3)\), Two hypergeometric tales and a new irrationality measure of \(\zeta (2)\), Vectors of type II Hermite-Padé approximations and a new linear independence criterion, Linear independence measure for squares of periods and quasi-periods of elliptic curves, Unnamed Item, HYPERGEOMETRY INSPIRED BY IRRATIONALITY QUESTIONS, 𝐂²-saddle method and Beukers’ integral, Arithmetic properties of the sum of the first \(n\) values of the Euler function, Symmetrized version of the Markovecchio integral in the theory of Diophantine approximations, Linear forms in multiple zeta values and multiple integrals
