M. Suzuki, A proof of the Riemann Hypothesis for the Weng zeta function of rank 3 for the rationals, In The Conference on L-Functions 175-199. Hackensack, NJ: World Scientific Publishing, 2007.Suzuki, M. "A proof of the Riemann Hypothesis for the Weng zeta function of rank 3 for the...
Hilbert and Polya suggested that there might be a natural spectral interpretation of the zeroes of the Riemann Zeta function. While at the time there was little evidence for this, today the evidence is quite convincing. Firstly, there ar... Nicholas,M.,Katz,... - 《Bulletin of the American...
We investigate the properties of the zeta-function of well-rounded sublattices of a fixed arithmetic lattice in the plane. In particular, we show that this function has abscissa of convergence at <IMG WIDTH="52" HEIGHT="20" ALIGN="BOTTOM" BORDER="0" SRC="http://www.ams.org/journals/pro...
where [Xi] denotes the Riemann zeta-function. This series involves the zeta-function at both positive and negative arguments. Algorithm 779: Fermi-Dirac functions of order -1/2, 1/2, 3/2, 5/2 The periodic zeta-function [zeta](s; a) is defined, for [sigma] > 1, by the Dirichlet ...
We strengthen and complete a number of results from the recent literature and answer (in the affirmative) the question raised by M. Benameur and T. Fack (2006) [1].关键词: Zeta function Heat kernel formulae Dixmier trace Noncommutative geometry ...
Zeta functionsFundamental string theoryThe Shimura-Taniyama conjecture states that the Mellin transform of the Hasse-Weil L-function of any elliptic curve ... R Schimmrigk,S Underwood - 《Journal of Geometry & Physics》 被引量: 42发表: 2003年 Zeta-functions of certain K3 fibered Calabi--Yau...
Millennium Problem, any of seven mathematical problems designated such by the Clay Mathematics Institute (CMI) of Cambridge, Mass., U.S., each of which has a million-dollar reward for its solution. CMI was founded in 1998 by American businessman Landon T
A construction of Bowen-Margulis measure (Main talk) 55:52 A construction of Bowen-Margulis measure (Pre-Talk) 27:44 The question of q, a look at the interplay of number theory and ergodic theory i 57:37 The value distribution of the Hurwitz zeta function with an irrational shift 51...
Consider a random planar point process whose law is invariant under planar isometries. We think of the process as a random distribution of point charges an
The Riemann zeta function is an extremely important special function of mathematics and physics that arises in definite integration and is intimately related with very deep results surrounding the prime number theorem. While many of the properties of this function have been investigated, there remain ...