Zeta Function Expression of Spin Partition Functions on Thermal AdS3
نویسندگان
چکیده
منابع مشابه
Zeta Function Expression of Spin Partition Functions on Thermal AdS3
We find a Selberg zeta function expression of certain one-loop spin partition functions on three-dimensional thermal anti-de Sitter space. Of particular interest is the partition function of higher spin fermionic particles. We also set up, in the presence of spin, a Patterson-type formula involving the logarithmic derivative of zeta.
متن کاملAdS3 Partition Functions Reconstructed
For pure gravity in AdS3, Witten has given a recipe for the construction of holomorphically factorizable partition functions of pure gravity theories with central charge c = 24k. The partition function was found to be a polynomial in the modular invariant j-function. We show that the partition function can be obtained instead as a modular sum which has a more physical interpretation as a sum ov...
متن کاملPartition zeta functions
Correspondence: [email protected] Department of Mathematics and Computer Science, Emory University, Atlanta, Georgia 30322, USA Full list of author information is available at the end of the article Abstract We exploit transformations relating generalized q-series, infinite products, sums over integer partitions, and continued fractions, to find partition-theoretic formulas to compute ...
متن کاملPartition Identities for the Multiple Zeta Function
We define a class of expressions for the multiple zeta function, and show how to determine whether an expression in the class vanishes identically. The class of such identities, which we call partition identities, is shown to coincide with the class of identities that can be derived as a consequence of the stuffle multiplication rule for multiple zeta values.
متن کاملExplorations in the theory of partition zeta functions ∗
We introduce and survey results on two families of zeta functions connected to the multiplicative and additive theory of integer partitions. In the case of the multiplicative theory, we provide specialization formulas and results on the analytic continuations of these “partition zeta functions”, find unusual formulas for the Riemann zeta function, prove identities for multiple zeta values, and ...
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: Mathematics
سال: 2015
ISSN: 2227-7390
DOI: 10.3390/math3030653