Series representing transcendental numbers that are not U-numbers
DOI10.1142/S1793042115500487zbMath1328.11079OpenAlexW1991907153WikidataQ114072032 ScholiaQ114072032MaRDI QIDQ5248582
Publication date: 8 May 2015
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793042115500487
gamma functionMahler measureintegral representationstranscendental numbersMahler's classificationKoksma's classificationApéry-like seriesU-numbersBaker periods
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other functions defined by series and integrals (33E20) Measures of irrationality and of transcendence (11J82)
Related Items (1)
Cites Work
- Modular transformations and generalizations of several formulae of Ramanujan
- Congruences arising from Apéry-type series for zeta values
- Series representations in the spirit of Ramanujan
- On Mahler's classification of transcendental numbers
- An application of Jensen's formula to polynomials
- On power series and Mahler's U-numbers.
- On Mahler's U-Numbers
- A Gaussian hypergeometric series evaluation and Apéry number congruences
- Arithmetic properties of lacunary power series with integral coefficients
- Linear forms in the logarithms of algebraic numbers
- Über die Mahlersche Klasseneinteilung der transzendenten Zahlen und die Approximation komplexer Zahlen durch algebraische Zahlen
- On the approximation of logarithms of algebraic numbers
- On Mahler's U -Numbers
- Transcendental infinite sums
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