نتایج جستجو برای: zeta 17

تعداد نتایج: 285918  

2005
P. CERONE

Some basic results for Dirichlet series ψ with positive terms via log-convexity properties are pointed out. Applications for Zeta, Lambda and Eta functions are considered. The concavity of the function 1/ψ is explored and, as a main result, it is proved that the function 1/ζ is concave on (1,∞) . As a consequence of this fundamental result it is noted that Zeta at the odd positive integers is b...

2009
James M. Hill Robert K. Wilson J. M. Hill R. K. Wilson

3

2005
A. JAIKIN-ZAPIRAIN

Let G be a profinite group. We denote by rn(G) the number of isomorphism classes of irreducible n-dimensional complex continuous representations of G (so that the kernel is open in G). Following [20], we call rn(G) the representation growth function of G. If G is a finitely generated profinite group, then rn(G) < ∞ for every n if and only if G has the property FAb (that is, H/[H,H] is finite fo...

2012
Arnaldo Garcia Henning Stichtenoth Alp Bassa Peter Beelen

Over all non-prime finite fields, we construct some recursive towers of function fields with many rational places. Thus we obtain a substantial improvement on all known lower bounds for Ihara’s quantity A(`), for ` = p with p prime and n > 3 odd. A modular interpretation of the towers is given as well.

Journal: :Filomat 2021

We consider the unique determination of Riemann zeta function as a solution its functional equaiton under condition sharing value. Besides, we show how is uniquely determined by one or two values truncated multiplicity. The results in present paper extend theorems given Li [17] and Gao, [12]. Moreover, generalize to L-functions Selberg class.

2008
Masatoshi Suzuki

As a generalization of the Dedekind zeta function, Weng defined the high rank zeta functions and proved that they have standard properties of zeta functions, namely, meromorphic continuation, functional equation, and having only two simple poles. The rank one zeta function is the Dedekind zeta function. For the rank two case, the Riemann hypothesis is proved for a general number field. Recently...

Journal: :Molecular biology and evolution 1988
J F Cheng R C Hardison

The alpha-like globin gene cluster in rabbits contains embryonic zeta-globin genes, an adult alpha-globin gene, and theta-globin genes of undetermined function. The basic arrangement of genes, deduced from analysis of cloned DNA fragments, is 5'-zeta 0-zeta 1-alpha 1-theta 1-zeta 2-zeta 3-theta 2-3'. However, the pattern of restriction fragments containing zeta- and theta-globin genes varies am...

1999
Lilit Yoo Ichiro Fujinaga

In this empirical study, results show that recently developed software pitch-trackers can be as fast as some current commercial hardware pitch-trackers. Since latency was the most crucial factor in the performability of the ZETA system, comparative analyses were made of the ZETA and the AXON interfaces, as well as the fiddle~ object, a real-time audio analysis tool in the Opcode’s MAX/MSP envir...

2006
R. DE LA BRETÈCHE T. D. BROWNING

This paper establishes the Manin conjecture for a certain non-split singular del Pezzo surface of degree four X ⊂ P 4. In fact, if U ⊂ X is the open subset formed by deleting the lines from X, and H is the usual projective height function on P 4 (Q), then the height zeta function P x∈U (Q) H(x) −s is analytically continued to the half-plane ℜe(s) > 17/20.

2010
Jacques Lévy Véhel Franklin Mendivil

In this paper, we generalize the zeta function for a fractal string (as in [18]) in several directions. We first modify the zeta function to be associated with a sequence of covers instead of the usual definition involving gap lengths. This modified zeta function allows us to define both a multifractal zeta function and a zeta function for higher-dimensional fractal sets. In the multifractal ca...

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