Euler's divergent series in arithmetic progressions
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Publication:3120417
zbMath1443.11138arXiv1809.03859MaRDI QIDQ3120417
Tapani Matala-aho, Louna Seppälä, Anne-Maria Ernvall-Hytönen
Publication date: 4 March 2019
Full work available at URL: https://arxiv.org/abs/1809.03859
Related Items (8)
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 ⋮ 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 ⋮ New problems in the theory of transcendental polyadic numbers ⋮ Euler's factorial series at algebraic integer points ⋮ Euler's factorial series, Hardy integral, and continued fractions
Cites Work
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- Arithmetic properties of Euler series
- Explicit bounds for primes in arithmetic progressions
- On algebraic relations in non-archimedean fields
- Euler's factorial series and global relations
- Rational approximations of the exponential function at rational points
- Effective estimates for global relations on Euler-type series
- On the arithmetic properties of generalized hypergeometric series with irrational parameters
- Arithmetic properties of polyadic series with periodic coefficients
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