Call diffeomorphisms satisfying (2) Artin-Mazur (A-M) diffeomorphisms. In [I.1] we give an elementary proof of an extension of Artin–Mazur’s result, namely, we prove that A-M diffeomorphisms with only hyperbolic periodic points are dense in Diffr(M). In [I.2] we construct Baire generic diffeomorphisms inside of an open set (a Newhouse domain) in Diffr(M) of with superexponential (even an arbitr...

Abstract. Let K be a p−adic field, and ZΦ(s, f), s ∈ C, with Re(s) > 0, the Igusa local zeta function associated to f(x) = (f1(x), .., fl(x)) ∈ [K (x1, .., xn)] , and Φ a Schwartz-Bruhat function. The aim of this paper is to describe explicitly the poles of the meromorphic continuation of ZΦ(s, f). Using resolution of singularities is possible to express ZΦ(s, f) as a finite sum of p−adic monom...

We consider the problem of fast zeta and Möbius transforms in finite posets, particularly in lattices. It has previously been shown that for a certain family of lattices, zeta and Möbius transforms can be computed in O(e) elementary arithmetic operations, where e denotes the size of the covering relation. We show that this family is exactly that of geometric lattices. We also extend the algorit...

The T cell receptor complex (TCR) zeta chain is constitutively tyrosine phosphorylated specifically at two of the six zeta immunoreceptor tyrosine-based activation motif (ITAM) tyrosine residues in resting peripheral T cells. Further phosphorylation of zeta is induced by both agonist and antagonist ligands of the TCR, with agonists inducing complete phosphorylation of the zeta ITAM tyrosines. A...

In this note, we apply the group-theoretic method to study Artin’s conjecture, and introduce the notations of nearly nilpotent groups and nearly supersolvable groups to answer of a question of Arthur and Clozel. As an application, we show that Artin’s conjecture is valid for all nearly supersolvable Galois extensions of number fields as well as all solvable Frobenius extensions.

The aim of this paper is to define an n− 1-cocycle σ on GLn(Q) with values in a certain space D of distributions on Af \ {0}. Here Af denotes the ring of finite adèles of Q, and the distributions take values in the Laurent series C((z1, . . . , zn)). This cocycle can be used to evaluate special values of Artin L-functions on number fields at negative integers. The construction generalizes that ...

Abstract. In this paper we shall develop a theory of (extended) double shuffle relations of Euler sums which generalizes that of multiple zeta values (see Ihara, Kaneko and Zagier, Derivation and double shuffle relations for multiple zeta values. Compos. Math. 142 (2)(2006), 307–338). After setting up the general framework we provide some numerical evidence for our two main conjectures. At the ...

To an arbitrary intersection of exceptional varieties of an embedded resolution we associate a nite number of congruences between naturally occurring multiplicities. This theory generalizes previous results concerning just one exceptional variety. Moreover we describe precise equalities which imply the congruences and we give some applications on the poles of Igusa's local zeta function.

biopolymers are environmental friendly sources as renewable and sustainable substituents for petroleum-based polymers. application of these polymers is common in variety of industries including papermaking. herbalexudate gums have been used in papermaking industry for decades, especially paper recycling. in this study, gum polysaccharide exudates from baridje plant  (ferula gummosa) extracted a...

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...