Local Zeta Functions on Hermitian Forms and Its Application to Local Densities

Forms and functions of International and Local EFL Workbook Activities

English language teaching market (ELT) inundated with course book packages containing astudent’s book, a teacher’s guide, workbooks, CD’s, videos, and test materials. A host ofresearchers have focused on course book evaluation and analysis and considered the selectionand evaluation of materials as an essential procedure in order to enhance out comes for thelearners who use them. This study thru...

On Simple Igusa Local Zeta Functions

The objective of this announcement is the statement of some recent results on the classiication of generalized Igusa local zeta functions associated to irreducible matrix groups. The deenition of a simple Igusa local zeta function will motivate a complete classiication of certain generalized Igusa local zeta functions associated to simply connected simple Chevalley groups. In addition to the no...

Local Densities of 2-adic Quadratic Forms

In this paper, we give an explicit from formula for the local density number of representing a two by two 2-integral matrix T by a quadratic 2-integral lattice L over Z2. The non-dyadic case was dealt in a previous paper. The special case when L is a (maximal) lattice in the space of trace zero elements in a quaternion algebra over Q2 yields a clean and interesting formula, which matches up per...

On Reducing sequences and an Application to Local Cohomology Modules

Local Zeta Functions Supported on Analytic Submanifolds and Newton Polyhedra

The local zeta functions (also called Igusa’s zeta functions) over p-adic fields are connected with the number of solutions of congruences and exponential sums mod pm. These zeta functions are defined as integrals over open and compact subsets with respect to the Haar measure. In this paper, we introduce new integrals defined over submanifolds, or more generally, over non-degenerate complete in...