Special values of the Riemann zeta function capture all real numbers
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Publication:5264157
DOI10.1090/S0002-9939-2015-12649-4zbMath1327.11058OpenAlexW1984173933MaRDI QIDQ5264157
Publication date: 20 July 2015
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-2015-12649-4
(zeta (s)) and (L(s, chi)) (11M06) Best approximation, Chebyshev systems (41A50) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)
Related Items (8)
Trigonometric series and special values of \(L\)-functions ⋮ Almost all hyperharmonic numbers are not integers ⋮ Divisibility properties of hyperharmonic numbers ⋮ A congruence for some generalized harmonic type sums ⋮ Structural properties of Dirichlet series with harmonic coefficients ⋮ Approximation by special values of Dirichlet series ⋮ Unnamed Item ⋮ Evaluation of log-tangent integrals by series involving ζ(2n+1)
Cites Work
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- Values of Dirichlet \(L\)-functions, Gauss sums and trigonometric sums
- On Plouffe's Ramanujan identities
- On the mean square average of special values of \(L\)-functions
- On Dirichlet \(L\)-functions with periodic coefficients and Eisenstein series
- On linear combinations of special values of \(L\)-functions
- On the series \(\sum_{k=1}^\infty \binom {3k}{k}^{-1} k^{-n}x^k\)
- Hyperharmonic series involving Hurwitz zeta function
- The Riemann zeta-function. Transl. from the Russian by Neal Koblitz
- Modular transformations and generalizations of several formulae of Ramanujan
- Integral representations of some series involving \({\binom {2k}k}^{-1} k^{-n}\) and some related series.
- \(q\)-series identities and values of certain \(L\)-functions
- Series representations in the spirit of Ramanujan
- Approximation by special values of harmonic zeta function and log-sine integrals
- Real Analysis and Applications
- An algebraic independence result for Euler products of finite degree
- Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan.
- A $q$-series identity and the arithmetic of Hurwitz zeta functions
- Averages of values of 𝐿-series
- Series representing transcendental numbers that are not U-numbers
- On rapidly convergent series expressions for zeta- and \(L\)-values, and log sine integrals
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