3,559 research outputs found
Multiple finite Riemann zeta functions
Observing a multiple version of the divisor function we introduce a new zeta
function which we call a multiple finite Riemann zeta function. We utilize some
-series identity for proving the zeta function has an Euler product and
then, describe the location of zeros. We study further multi-variable and
multi-parameter versions of the multiple finite Riemann zeta functions and
their infinite counterparts in connection with symmetric polynomials and some
arithmetic quantities called powerful numbers.Comment: 19 page
The 19-Vertex Model at critical regime
We study the 19-vertex model associated with the quantum group
at critical regime . We give the realizations of the
type-I vertex operators in terms of free bosons and free fermions. Using these
free field realizations, we give the integral representations for the
correlation functions.Comment: LaTEX2e, 19page
On a q-analogue of the multiple gamma functions
A -analogue of the multiple gamma functions is introduced, and is shown to
satisfy the generalized Bohr-Morellup theorem. Furthermore we give some
expressions of these function.Comment: 8 pages, AMS-Late
Hierarchy of the Selberg zeta functions
We introduce a Selberg type zeta function of two variables which interpolates
several higher Selberg zeta functions. The analytic continuation, the
functional equation and the determinant expression of this function via the
Laplacian on a Riemann surface are obtained.Comment: 14 page
On a conjecture by Boyd
The aim of this note is to prove the Mahler measure identity
which was conjectured by
Boyd. The proof is achieved by proving relationships between regulators of both
curves
Observation of Bell Inequality violation in B mesons
A pair of mesons from decay exhibit EPR type
non-local particle-antiparticle (flavor) correlation. It is possible to write
down Bell Inequality (in the CHSH form: ) to test the non-locality
assumption of EPR. Using semileptonic decays of at Belle
experiment, a clear violation of Bell Inequality in particle-antiparticle
correlation is observed:
S=2.725+-0.167(stat)+-0.092(syst)Comment: Conference Proceeding for Garda Lake Workshop 2003 "Mysteries,
Puzzles and Paradoxes in Quantum Mechanics
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