An infinite family of zeta functions indexed by Hermite polynomials

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Zeta Functions of an Infinite Family of K3 Surfaces

Given a projective variety defined over a number field, a central problem in number theory is to write down all of its local zeta functions. The case of elliptic curves over Q has recently been settled, and here we study the problem for K3 surfaces, a natural two-dimensional analog of elliptic curves. This is in general a difficult problem, since at any prime, the nontrivial factor of the local...

متن کامل

Zeta Functions of Infinite Graph Bundles

We compute the equivariant zeta function for bundles over infinite graphs and for infinite covers. In particular, we give a “transfer formula” for the zeta function of infinite graph covers. Also, when the infinite cover is given as a limit of finite covers, we give a formula for the limit of the zeta functions.

متن کامل

Deformations of polynomials and their zeta functions

For an analytic in σ ∈ (C, 0) family Pσ of polynomials in n variables there is defined a monodromy transformation h of the zero level set Vσ = {Pσ = 0} for σ 6= 0 small enough. The zeta function of this monodromy transformation is written as an integral with respect to the Euler characteristic of the corresponding local data. This leads to a study of deformations of holomorphic germs and their ...

متن کامل

Igusa’s Local Zeta Functions of Semiquasihomogeneous Polynomials

In this paper, we prove the rationality of Igusa’s local zeta functions of semiquasihomogeneous polynomials with coefficients in a non-archimedean local field K. The proof of this result is based on Igusa’s stationary phase formula and some ideas on Néron π-desingularization.

متن کامل

On Hermite-hermite Matrix Polynomials

In this paper the definition of Hermite-Hermite matrix polynomials is introduced starting from the Hermite matrix polynomials. An explicit representation, a matrix recurrence relation for the Hermite-Hermite matrix polynomials are given and differential equations satisfied by them is presented. A new expansion of the matrix exponential for a wide class of matrices in terms of Hermite-Hermite ma...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 1989

ISSN: 0022-247X

DOI: 10.1016/0022-247x(89)90102-9