On evaluations of infinite double sums and Tornheim's double series.
Kuba, Markus (2007)
Séminaire Lotharingien de Combinatoire [electronic only]
Similarity:
Displaying similar documents to “On multiple analogues of Ramanujan’s formulas for certain Dirichlet series”
On evaluations of infinite double sums and Tornheim's double series.
Hypergeometric series associated with the Hurwitz-Lerch zeta function.
Bin-Saad, M.G. (2009)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
Integral identities and constructions of approximations to zeta-values
Yuri V. Nesterenko (2003)
Journal de théorie des nombres de Bordeaux
Similarity:
Some general construction of linear forms with rational coefficients in values of Riemann zeta-function at integer points is presented. These linear forms are expressed in terms of complex integrals of Barnes type that allows to estimate them. Some identity connecting these integrals and multiple integrals on the real unit cube is proved.
On hypergeometric-type generating relations associated with the generalized zeta function.
Bin-Saad, M.G., Al-Gonah, A.A. (2006)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
On -convergence of certain generalized modified trigonometric sums
Karanvir Singh, Kulwinder Kaur (2009)
Matematički Vesnik
Similarity:
On Bernoulli identities and applications.
Minking Eie, King F. Lai (1998)
Revista Matemática Iberoamericana
Similarity:
Bernoulli numbers appear as special values of zeta functions at integers and identities relating the Bernoulli numbers follow as a consequence of properties of the corresponding zeta functions. The most famous example is that of the special values of the Riemann zeta function and the Bernoulli identities due to Euler. In this paper we introduce a general principle for producing Bernoulli identities and apply it to zeta functions considered by Shintani, Zagier and Eie. Our results include...
Hypergeometric series and the Riemann zeta function
Wenchang Chu (1997)
Acta Arithmetica
Similarity:
Evaluation of two trigonometric sums
Kenneth S. Williams, Nan Yue Zhang (1994)
Mathematica Slovaca
Similarity:
Integral and computational representation of summation which extends a Ramanujan's sum
Tibor K. Pogány, Arjun K. Rathie, Shoukat Ali (2012)
Matematički Vesnik
Similarity:
On approximation of functions by generalized Abel--Poisson operators.
Falaleev, L.P. (2001)
Sibirskij Matematicheskij Zhurnal
Similarity: