Report on Igusa's local zeta function
Jan Denef (1990-1991)
Séminaire Bourbaki
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Jan Denef (1990-1991)
Séminaire Bourbaki
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J. Denef (1993)
Compositio Mathematica
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Martin, Roland (1995)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Kim, T., Jang, L.C., Rim, S.H. (2004)
International Journal of Mathematics and Mathematical Sciences
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Dinesh S. Thakur (1995)
Compositio Mathematica
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Yoshitaka Sasaki (2009)
Acta Arithmetica
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Shuichi Muneta (2009)
Acta Arithmetica
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Sangtae Jeong (2004)
Acta Arithmetica
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Sanoli Gun, M. Ram Murty, Purusottam Rath (2012)
Acta Arithmetica
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Antanas Laurinčikas, Renata Macaitienė (2016)
Banach Center Publications
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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.
Alexandru Zaharescu, Mohammad Zaki (2010)
Open Mathematics
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We investigate the singularities of a class of multiple L-functions considered by Akiyama and Ishikawa [2].
Kohji Matsumoto, Takashi Nakamura, Hiroyuki Ochiai, Hirofumi Tsumura (2008)
Acta Arithmetica
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Laurinčikas, A. (2005)
Journal of Mathematical Sciences (New York)
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Kazuhiro Onodera (2014)
Acta Arithmetica
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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...