We generalize the theory of p-adic geometric zeta functions of Y. Ihara and K. Hashimoto to the higher rank case. We give the proof of rationality of the zeta function and the connection of the divisor to group cohomology, i.e. the p-adic analogue of the Patterson conjecture. Introduction. In [13] and [14] Y. Ihara defined geometric zeta functions for the group PSL2. This was the p-adic counter...

We determine the explicit form of the Igusa local zeta function associated to an elliptic curve. The denominator is known to be trivial. Here we determine the possible numerators and classify them according to the KodairaNéron classification of the special fibers of elliptic curves as determined by Tate’s algorithm.

this is the first report implementing combined density gradient centrifugation/zeta (dgc/zeta) sperm selection procedure for a couple with eleven previous intra cytoplasmic sperm injection/ in vitro fertilization (icsi/ivf) failure cycles. semen analysis was carried out according to world health organization criteria. protamine deficiency, dna fragmentation and morphology were assessed by chrom...

This paper establishes the Manin conjecture for a certain non-split singular del Pezzo surface of degree four X ⊂ P4. 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 P4(Q), then the height zeta function P x∈U(Q) H(x) −s is analytically continued to the half-plane 17/20.

A graph theoretical analogue of Brauer-Siegel theory for zeta functions of number …elds is developed using the theory of Artin L-functions for Galois coverings of graphs from parts I and II. In the process, we discuss possible versions of the Riemann hypothesis for the Ihara zeta function of an irregular graph.

during the last decade, the expansion of urbanization and industrial activities caused serious environmental problems such as soil pollution. novel technologies are required to remediate soil contamination with toxic contaminants, including heavy metals and organic pollutants. in recent years, there have been increasing attempts to improve soil remediation efficiency. electrokinetic (ek) is an ...

This paper is an expanded version of lectures given at M.S.R.I. in June of 2008. It provides an introduction to various zeta functions emphasizing zeta functions of a finite graph and connections with random matrix theory and quantum chaos. Section 2. Three Zeta Functions For the number theorist, most zeta functions are multiplicative generating functions for something like primes (or prime ide...

14-3-3 Proteins may function as adapters or scaffold in signal-transduction pathways. We found previously that protein kinase C-zeta (PKC-zeta) can phosphorylate and activate Raf-1 in a signalling complex [van Dijk, Hilkmann and van Blitterswijk (1997) Biochem. J. 325, 303-307]. We report now that PKC-zeta-Raf-1 interaction is mediated by 14-3-3 proteins in vitro and in vivo. Co-immunoprecipita...

The reduction or absence of TCR zeta-chain (zeta) expression in patients with systemic lupus erythematosus (SLE) is thought to be a factor in the pathogenesis of SLE. We previously reported a splice variant of zeta mRNA that lacks the 36-bp exon 7 (zeta mRNA/exon 7(-)) and is accompanied by the down-regulation of zeta protein in T cells from SLE patients. In this study, we show that EX7- mutant...

by the method of weight coefficients, techniques of real analysis andhermite-hadamard's inequality, a half-discrete hardy-hilbert-type inequalityrelated to the kernel of the hyperbolic cosecant function with the best possibleconstant factor expressed in terms of the extended riemann-zeta function is proved.the more accurate equivalent forms, the operator expressions with the norm,the reverses a...