THIRTY-TWO GOLDBACH VARIATIONS
From MaRDI portal
Publication:5291339
DOI10.1142/S1793042106000383zbMath1094.11031arXivmath/0502034MaRDI QIDQ5291339
Jonathan M. Borwein, David M. Bradley
Publication date: 10 May 2006
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0502034
(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41) Multiple sequences and series (40B05)
Related Items
On a result of Koecher concerning Markov–Apéry-type formulas for the Riemann zeta function, Bachmann-Kühn's brackets and multiple zeta values at level \(N\), On a conjecture of Borwein, Bradley and Broadhurst, Some evaluation of parametric Euler sums, In the shadow of Euler's greatness: adventures in the rediscovery of an intriguing sum, Evaluations of some quadruple Euler sums of even weight, Signed $q$-analogs of Tornheim's double series, Some results on \(q\)-harmonic number sums, Generalizations of Euler decomposition and their applications, Multiple Eisenstein Series and q-Analogues of Multiple Zeta Values, On a Family of Polynomials Related to $$\zeta (2,1)=\zeta (3)$$, Some evaluation of \(q\)-analogues of Euler sums, A short WZ-proof of Euler's fundamental sum identity and more, On Eulerian log-gamma integrals and Tornheim-Witten zeta functions, On \(q\)-analogues of two-one formulas for multiple harmonic sums and multiple zeta star values, The evaluation of Tornheim double sums. II, New expressions of Hasse and Hermite formulas for the Hurwitz zeta function, A restricted sum formula among multiple zeta values, Structural properties of multiple zeta values, Evaluations of Euler-type sums of weight \(\le 5\), Explicit evaluation of some quadratic Euler-type sums containing double-index harmonic numbers, Multivariable connected sums and multiple polylogarithms, Harmonic Numbers of Any Order and the Wolstenholme’s-Type Relations for Harmonic Numbers, Evaluations of sums involving harmonic numbers and binomial coefficients, ON GENERALIZATIONS OF WEIGHTED SUM FORMULAS OF MULTIPLE ZETA VALUES, A triple integral analog of a multiple zeta value, Double weighted sum formulas of multiple zeta values
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Transformation formulae for multiple series
- Parametric Euler sum identities
- On some infinite series of L. J. Mordell and their analogues
- A formula of S. Ramanujan
- Multiple harmonic series
- A generalization of the duality and sum formulas on the multiple zeta values
- Triple sums and the Riemann zeta function
- Evaluation of Euler-Zagier sums
- The algebra and combinatorics of shuffles and multiple zeta values
- Consecutive evaluation of Euler sums
- Multiple \(q\)-zeta values
- Some multi-set inclusions associated with shuffle convolutions and multiple zeta values
- Stirling numbers, central factorial numbers, and representations of the Riemann zeta function
- A \(q\)-analog of Euler's decomposition formula for the double zeta function
- Duality for finite multiple harmonic \(q\)-series
- Tricks or Treats with the Hilbert Matrix
- A Note on the Irrationality of ζ(2) and ζ(3)
- Euler Sums and Contour Integral Representations
- Fast evaluation of multiple zeta sums
- Resolution of Some Open Problems Concerning Multiple Zeta Evaluations of Arbitrary Depth
- Special values of multiple polylogarithms
- Borwein and Bradley's Apérv-Like Formulae for ζ(4n + 3)
- Explicit evaluation of Euler sums
- On the Evaluation of Euler Sums
- Partition Identities for the Multiple Zeta Function
- A New Method of Evaluating ζ(2n)
- Multiple zeta values: an introduction
