In this article we compute a discrete mean value of the derivative of the Riemann zeta function. This mean value will be important for several applications concerning the size of ζ(ρ) where ζ(s) is the Riemann zeta function and ρ is a non-trivial zero of the Riemann zeta function.

We introduce a q-analog of the multiple harmonic series commonly referred to as multiple zeta values. The multiple q-zeta values satisfy a q-stuffle multiplication rule analogous to the stuffle multiplication rule arising from the series representation of ordinary multiple zeta values. Additionally, multiple q-zeta values can be viewed as special values of the multiple q-polylogarithm, which ad...

BACKGROUND Reducing the percentage of sperm anomalies in insemination samples remains a goal to be achieved in the intra-cytoplasmic sperm insemination (ICSI) procedure. The aim of this study was to evaluate the efficiency of density gradient centrifugation (DGC) and Zeta methods to recover sperm with intact chromatin, and to evaluate whether the combined DGC/Zeta procedure improved ICSI outcom...

The complex reflection coefficients Rv(phi,zeta) of a film-substrate system for the parallel (v = p) and perpendicular (v = s) polarizations are examined in detail as functions of the angle of incidence phi(0 </+S 90 degrees) and the reduced normalized film thickness zeta(0 </= zeta </= 1). For definiteness, the reflection of light of wavelength lambda = 0.6328 microm by the air-SiO2-Si system ...

The issue of whether three ITAMs in the TCR zeta chain can transmit qualitatively distinct signals or redundantly amplify TCR-mediated activation signals was extensively investigated using stable hCD8-zeta Jurkat transfectants which contain stepwise deletions of each ITAM or mutations of tyrosine residues in each ITAM of TCR zeta chain. The influence of mutations of each tyrosine residue on red...

The development of an effective and efficient method for discretization of continuous variables is an important problem to be solved in developing generally applicable methods for data mining. In Ho and Scott 1997, we describe a new technique for discretization of continuous variables based on zeta, a measure of strength of association between nominal variables. The old zeta method partitions a...

A conserved sequence motif has been identified in a number of signaling subunits associated with hematopoietic cell antigen receptors. Here, we characterize signaling by a 17 amino acid motif that is triplicated in the T cell antigen receptor zeta chain. Analysis of zeta truncations and constructs containing the isolated motif demonstrates that this motif is sufficient for the induction of both...

PURPOSE It has been reported that a dysfunction of T lymphocytes can be responsible for alteration in immune system in patients with systemic lupus erythematosus (SLE). MATERIAL AND METHODS Using flow cytometric analysis, we determined the abnormalities of T cell receptor zeta (TCR zeta) chain contents in CD4+ T cells of SLE patients. RESULTS We observed a decrease in mean fluorescence inte...

We study the field theories for pinned elastic systems at equilibrium and at depinning. Their beta functions differ to two loops by novel "anomalous" terms. At equilibrium we find a roughness zeta = 0.208 298 04 epsilon + 0.006 858 epsilon(2) (random bond), zeta = epsilon/3 (random field). At depinning we prove two-loop renormalizability and that random field attracts shorter range disorder. We...