On Epstein's zeta function
نویسندگان
چکیده
منابع مشابه
Zeta Function Determinants on Four {
Let A be a positive integral power of a natural, conformally covariant diierential operator on tensor-spinors in a Riemannian manifold. Suppose that A is formally self-adjoint and has positive deenite leading symbol. For example, A could be the conformal Laplacian (Yamabe operator) L, or the square of the Dirac operator r =. Within the conformal class fg = e 2w g 0 j w 2 C 1 (M)g of an Einstein...
متن کاملcompactifications and function spaces on weighted semigruops
chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولZeta-function on the generalised cone
Abstract: The analytic properties of the ζ-function for a Laplace operator on a generalised cone IR × MN are studied in some detail using the Cheeger’s approach and explicit expressions are given. In the compact case, the ζ-function of the Laplace operator turns out to be singular at the origin. As a result, strictly speaking, the ζ-function regularisation does not “regularise” and a further su...
متن کاملThe Probabilistic Zeta Function
This paper is a summary of results on the PG(s) function, which is the reciprocal of the probabilistic zeta function for finite groups. This function gives the probability that s randomly chosen elements generate a group G, and information about the structure of the group G is embedded in it.
متن کاملq-Riemann zeta function
We consider the modified q-analogue of Riemann zeta function which is defined by ζq(s)= ∑∞ n=1(qn(s−1)/[n]s), 0< q < 1, s ∈ C. In this paper, we give q-Bernoulli numbers which can be viewed as interpolation of the above q-analogue of Riemann zeta function at negative integers in the same way that Riemann zeta function interpolates Bernoulli numbers at negative integers. Also, we will treat some...
متن کاملذخیره 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: Acta Arithmetica
سال: 1964
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-9-4-365-373