The meromorphic continuation of a zeta function of Weil and Igusa Type.
D. Meuser (1986)
Inventiones mathematicae
Similarity:
D. Meuser (1986)
Inventiones mathematicae
Similarity:
Shuichi Muneta (2009)
Acta Arithmetica
Similarity:
Kazuhiro Onodera (2014)
Acta Arithmetica
Similarity:
We generalize the partial fraction decomposition which is fundamental in the theory of multiple zeta values, and prove a relation between Tornheim's double zeta functions of three complex variables. As applications, we give new integral representations of several zeta functions, an extension of the parity result to the whole domain of convergence, concrete expressions of Tornheim's double zeta function at non-positive integers and some results on the behavior of a certain Witten's zeta...
Kim, T., Jang, L.C., Rim, S.H. (2004)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Kui Liu (2014)
Acta Arithmetica
Similarity:
Antanas Laurinčikas, Renata Macaitienė (2016)
Banach Center Publications
Similarity:
In the paper, we give a survey of the results on the approximation of analytic functions by shifts of Hurwitz zeta-functions. Theorems of such a kind are called universality theorems. Continuous, discrete and joint universality theorems of Hurwitz zeta-functions are discussed.
Michał Zakrzewski, Henryk Żołądek (2010)
Fundamenta Mathematicae
Similarity:
Certain generating fuctions for multiple zeta values are expressed as values at some point of solutions of linear meromorphic differential equations. We apply asymptotic expansion methods (like the WKB method and the Stokes operators) to solutions of these equations. In this way we give a new proof of the Euler formula ζ(2) = π²/6. In further papers we plan to apply this method to study some third order hypergeometric equation related to ζ(3).
Laurinčikas, A. (2005)
Journal of Mathematical Sciences (New York)
Similarity:
John M. Franks (1975)
Publications mathématiques et informatique de Rennes
Similarity:
S. Kanemitsu, Y. Tanigawa, M. Yoshimoto (2003)
Acta Arithmetica
Similarity:
Yoshitaka Sasaki (2009)
Acta Arithmetica
Similarity:
Takashi Nakamura (2006)
Acta Arithmetica
Similarity:
Sanoli Gun, M. Ram Murty, Purusottam Rath (2012)
Acta Arithmetica
Similarity:
Masanori Katsurada (2001)
Acta Arithmetica
Similarity:
Kohji Matsumoto, Takashi Nakamura, Hiroyuki Ochiai, Hirofumi Tsumura (2008)
Acta Arithmetica
Similarity:
Masanori Katsurada (2003)
Acta Arithmetica
Similarity:
Takuya Okamoto (2009)
Acta Arithmetica
Similarity:
Đurđe Cvijović, Jacek Klinowski (2000)
Matematički Vesnik
Similarity:
Johan Andersson (1992)
Mathematica Scandinavica
Similarity: