Euler's factorial series and global relations
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Publication:1711699
DOI10.1016/j.jnt.2017.09.026zbMath1444.11037arXiv1703.02633OpenAlexW2604791301MaRDI QIDQ1711699
Wadim Zudilin, Tapani Matala-aho
Publication date: 18 January 2019
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.02633
Binomial coefficients; factorials; (q)-identities (11B65) Padé approximation (41A21) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Special functions in characteristic (p) (gamma functions, etc.) (33E50)
Related Items (13)
On Padé approximations and global relations of some Euler-type series ⋮ Arithmetic properties of the values of generalized hypergeometric series with polyadic transcendental parameters ⋮ Transcendence of \(p\)-adic values of generalized hypergeometric series with transcendental polyadic parameters ⋮ Irrationality of infinite series ⋮ Arithmetic properties of values at polyadic Liouville points of Euler-type series with polyadic Liouville parameter ⋮ Infinite linear independence with constraints on a subset of prime numbers for values of Euler-type series with polyadic Liouville parameter ⋮ Explicit results for Euler’s factorial series in arithmetic progressions under GRH ⋮ Euler's divergent series in arithmetic progressions ⋮ Arithmetic properties of Euler-type series with a Liouvillian polyadic parameter ⋮ New problems in the theory of transcendental polyadic numbers ⋮ Euler's factorial series at algebraic integer points ⋮ Product formula, global relations, and polyadic numbers ⋮ Euler's factorial series, Hardy integral, and continued fractions
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- Arithmetic properties of Euler series
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- Euler's 1760 paper on divergent series
- Effective estimates for global relations on Euler-type series
- Euler’s constant: Euler’s work and modern developments
- Euler Subdues a Very Obstreperous Series
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