Results 11 to 20 of about 5,799,501 (90)
Values of zeta functions at s=1/2 [PDF]
, 2005 We study the behaviour near s=1/2 of zeta functions of varieties over finite fields F_q with q a square. The main result is an Euler-characteristic formula for the square of the special value at s=1/2.
Ramachandran, Niranjan
core +3 more sources
S-matrix singularities and CFT correlation functions
, 2017 In this note, we explore the correspondence between four-dimensional flat space S-matrix and two-dimensional CFT proposed by Pasterski et al. We demonstrate that the factorization singularities of an n-point cubic diagram reproduces the AdS Witten ...
Cardona, Carlos, Huang, Yu-tin
core +1 more source
Zeta-Functions for Non-Minimal Operators [PDF]
, 1995 We evaluate zeta-functions $\zeta(s)$ at $s=0$ for invariant non-minimal 2nd-order vector and tensor operators defined on maximally symmetric even dimensional spaces.
A. O. Barvinsky +22 more
core +2 more sources
S-duality invariant perturbation theory improved by holography
, 2017 We study anomalous dimensions of unprotected low twist operators in the four-dimensional $SU(N)$ $\mathcal{N}=4$ supersymmetric Yang-Mills theory.
Chowdhury, Abhishek +2 more
core +1 more source
Extensions of positive definite functions on amenable groups
, 2008 Let $S$ be a subset of a amenable group $G$ such that $e\in S$ and $S^{-1}=S$. The main result of the paper states that if the Cayley graph of $G$ with respect to $S$ has a certain combinatorial property, then every positive definite operator-valued ...
D. Timotin +4 more
core +1 more source
One-dimensional s-p superlattice
, 2014 The physics of one dimensional optical superlattices with resonant $s$-$p$ orbitals is reexamined in the language of appropriate Wannier functions. It is shown that details of the tight binding model realized in different optical potentials crucially ...
Ganczarek, Wojciech +3 more
core +1 more source
Tensor spherical harmonics on S^2 and S^3 as eigenvalue problems [PDF]
, 1978 Tensor spherical harmonics for the 2‐sphere and 3‐sphere are discussed as eigenfunction problems of the Laplace operators on these manifolds. The scalar, vector, and second‐rank tensor harmonics are given explicitly in terms of known functions and their ...
Sandberg, Vernon D.
core
On the order of Dirichlet L-functions [PDF]
, 1979 Let L(s, X) be a Dirichlet L-function, where X is a nonprincipal character (mod q) and s = σ ...
Kolesnik, G.
core
On parabolic Whittaker functions
, 2010 We derive a Mellin-Barnes integral representation for solution to generalized (parabolic) quantum Toda lattice introduced in \cite{GLO}, which presumably describes the $(S^1\times U_N)$-equivariant Gromov-Witten invariants of Grassmann variety.Comment ...
A. Astashkevich +5 more
core +1 more source
S-regular functions which preserve a complex slice
, 2018 We study global properties of quaternionic slice regular functions (also called s-regular) defined on symmetric slice domains. In particular, thanks to new techniques and points of view, we can characterize the property of being one-slice preserving in ...
Altavilla, Amedeo, de Fabritiis, Chiara
core +1 more source