A measure-theoretic approach to the invariants of the Selberg class
J. Kaczorowski, A. Perelli (2008)
Acta Arithmetica
Similarity:
J. Kaczorowski, A. Perelli (2008)
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...
Shuichi Muneta (2009)
Acta Arithmetica
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.
John M. Franks (1975)
Publications mathématiques et informatique de Rennes
Similarity:
Yoshitaka Sasaki (2009)
Acta Arithmetica
Similarity:
Goulwen Fichou (2005)
Annales Polonici Mathematici
Similarity:
We propose a refinement of the notion of blow-Nash equivalence between Nash function germs, which has been introduced in [2] as an analog in the Nash setting of the blow-analytic equivalence defined by T.-C. Kuo [13]. The new definition is more natural and geometric. Moreover, this equivalence relation still does not admit moduli for a Nash family of isolated singularities. But though the zeta functions constructed in [2] are no longer invariants for this new relation, thanks to a Denef...
Kohji Matsumoto, Takashi Nakamura, Hiroyuki Ochiai, Hirofumi Tsumura (2008)
Acta Arithmetica
Similarity:
Takashi Nakamura (2006)
Acta Arithmetica
Similarity:
Hirotaka Akatsuka (2006)
Acta Arithmetica
Similarity:
J. Kaczorowski, A. Perelli (2002)
Acta Arithmetica
Similarity:
Masanori Katsurada (2001)
Acta Arithmetica
Similarity:
Laurinčikas, A. (2005)
Journal of Mathematical Sciences (New York)
Similarity:
Kim, T., Jang, L.C., Rim, S.H. (2004)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Sanoli Gun, M. Ram Murty, Purusottam Rath (2012)
Acta Arithmetica
Similarity:
Takuya Okamoto (2009)
Acta Arithmetica
Similarity:
Floyd L. Williams (1992)
Manuscripta mathematica
Similarity:
Gušić, Dženan (2010)
Mathematica Balkanica New Series
Similarity:
AMS Subj. Classification: MSC2010: 11F72, 11M36, 58J37 We point out the importance of the integral representations of the logarithmic derivative of the Selberg zeta function valid up to the critical line, i.e. in the region that includes the right half of the critical strip, where the Euler product definition of the Selberg zeta function does not hold. Most recent applications to the behavior of the Selberg zeta functions associated to a degenerating sequence of finite volume,...
David J. Wright (1988/89)
Mathematische Zeitschrift
Similarity:
M. Zakrzewski (2012)
Banach Center Publications
Similarity:
This is an expository article, based on the talk with the same title, given at the 2011 FASDE II Conference in Będlewo, Poland. In the introduction we define Multiple Zeta Values and certain historical remarks are given. Then we present several results on Multiple Zeta Values and, in particular, we introduce certain meromorphic differential equations associated to their generating function. Finally, we make some conclusive remarks on generalisations of Multiple Zeta Values as well as...