✦ LIBER ✦

The Igusa Local Zeta Function Associated with the Singular Cases of the Determinant and the Pfaffian

✍ Scribed by Margaret M. Robinson

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 820 KB
Volume: 57
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1996.0055

No coin nor oath required. For personal study only.

✦ Synopsis

This paper describes the theory of the Igusa local zeta function associated with a polynomial f (x) with coefficients in a p-adic local field K. Results are given in two cases where f (x) is the determinant of a Hermitian matrix of degree m with coefficients in: (1) a ramified quadratic extension of K; and (2) the unique quaternion division algebra over K.

📜 SIMILAR VOLUMES

The special values of the zeta functions

The special values of the zeta functions associated with cusp forms

✍ Goro Shimura 📂 Article 📅 1976 🏛 John Wiley and Sons 🌐 English ⚖ 832 KB

Simple Calculation of the Residues of th

Simple Calculation of the Residues of the Adelic Zeta Function Associated with the Space of Binary Cubic Forms

✍ T. Kogiso 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 359 KB

In this note, we calculate the residues of an adelic zeta function associated with the space of binary cubic forms over any number field without using Eisenstein series. 1995 Academic Press. Inc.

CLN3, the protein associated with batten

CLN3, the protein associated with batten disease: Structure, function and localization

✍ Seasson N. Phillips; Jared W. Benedict; Jill M. Weimer; David A. Pearce 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 267 KB

## Abstract Batten disease, an inherited neurodegenerative storage disease affecting children, results from the autosomal recessive inheritance of mutations in __Cln3__. The function of the CLN3 protein remains unknown. A key to understanding the pathology of this devastating disease will be to elu

The stringy E-function of the moduli spa

The stringy E-function of the moduli space of Higgs bundles with trivial determinant

✍ Young-Hoon Kiem; Sang-Bum Yoo 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 278 KB

## Abstract Let **M** be the moduli space of semistable rank 2 Higgs pairs (__V, ϕ__) with trivial determinant over a smooth projective curve __X__ of genus __g__ ≥ 2. We provide an explicit formula for the stringy E‐function of **M**. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

The localization and non-genomic functio

The localization and non-genomic function of the membrane-associated estrogen receptor in oligodendrocytes

✍ Yukie Hirahara; Ken-Ichi Matsuda; Wen Gao; Dina N. Arvanitis; Mitsuhiro Kawata; 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 483 KB

## Abstract There is general acceptance that the estrogen receptor can act as a transcription factor. However, estrogens can also bind to receptors that are located at the plasma membrane and stimulate rapid intracellular signaling processes. We recently showed that a membrane‐associated estrogen r

Factorization of singular integral opera

Factorization of singular integral operators with a Carleman shift via factorization of matrix functions: the anticommutative case

✍ V. G. Kravchenko; A. B. Lebre; J. S. Rodríguez 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 235 KB

## Abstract This paper deals with what we call modified singular integral operators. When dealing with (pure) singular integral operators on the unit circle with coefficients belonging to a decomposing algebra of continuous functions it is known that a factorization of the symbol induces a factoriz