V. V. Zudilin, “On the irrationality of values of the zeta-function,” in: Reports of the 23d Conference of Young Scientists (Moscow State University, 9–14 April, 2001 ) [in Russian], Moscow, 2001 (to appear), in: E-print math.NT/0104249....
Irrationality Of Values Of Zeta-Function 来自 钛学术 喜欢 0 阅读量: 54 作者: W Zudilin 摘要: Introduction. The irrationality of values of the zeta-function (s) at odd integers s 3 is one of the most attractive problems in number theory. Inspite of a deceptive simplicity and more than ...
refinement of a theorem of Lichtenbaum describing the leading terms of Zeta functions of curves over finite fields in terms of Weil-étale cohomology. We... D Burns - 《Inventiones Mathematicae》 被引量: 25发表: 2011年 K-theory of semi-local rings with finite coefficients and étale cohomolog...
Zeta functions of various sorts are all-pervasive objects in modern number theory, and an ever-recurring theme is the role played by their special values at integral arguments, which are linked in mysterious ways to the underlying geometry and often seem to dictate the most important properties ...
Using the Pad茅 approximation of the exponential function, we obtain a general recurrence relation for values of the zeta function which contains, as particular cases, many of relations already proved. Applications to Bernoulli polynomials are given. At last, we derive some new recurrence relations ...
We study the distribution of large (and small) values of several families of L-functions on a line Re(s)=σ, where $\frac {1}{2}<\sigma< 1$. We consider the Riemann zeta function ζ(s) in the t-aspect, Dirichlet L-functions in the q-aspect, and L-functions attached to primitiv...
We calculate special values of Witten L-functions for SU(2) and SU(3). We prove some algebraicity for such special values. Moreover, we prove that such values turn out to be zero in many cases. These are generalizations of classical results due to Euler for the Riemann zeta function.Pre...
Matrix effects of 0.84-1.12 were recorded for the detection of 6,7-dihydroxycoumarin, 7-hydroxycoumarin, 6-hydroxy-4-methylcoumarin, and coumarin in raw water, while values of 0.67-0.70 were recorded for 8-chloro-7-hydroxycoumarin, 7-chloro-6-hydroxy-4-methylcoumarin, and 3,8-dichloro-7-...
Community Values, Guiding Principles, and Commitments for the Responsible Development of AI for Protein Design: details Papers last week, updated on 2025.01.12: A Survey of Deep Learning Methods in Protein Bioinformatics and its Impact on Protein Design [arXiv:2501.01477] From thermodynamics to ...
Here, [Math Processing Error]g3/2(⋅) is the standard Bose integral, [Math Processing Error]ζ(⋅) is the Riemann zeta function, and [Math Processing Error]NT is the number of atoms in the thermal component. Note that for a non-interacting gas in the thermodynamic limit, the number...