27,212 research outputs found
THE 97-TH PROBLEM OF F. SMARANDACHE
The main purpose of this paper is using the analytic method to study the n-ary sieve sequence, and solved one conjecture about this sequence
On character sums over flat numbers
Let be an integer, be any non-principal character mod
, and In this paper the authors prove some estimates
for character sums of the form
where
\mathscr{F}(H)=\left\{n\in\mathbb{Z}|(n,q)=1,1\leqslant n,\bar{n}\leqslant q,
|n-\bar{n}|\leqslant H\}, is defined by Comment: 9 pages, with a complete proof of Theorem 3, Section 5. Accepted by
J. Number Theor
ON A PROBLEM OF F. SMARANDACHE
The main purpose of this paper is to give two exact ca:lculating formulas for A1 (x) and A2 (x)
A Refined Holographic QCD Model and QCD Phase Structure
We consider the Einstein-Maxwell-dilaton system with an arbitrary kinetic
gauge function and a dilaton potential. A family of analytic solutions is
obtained by the potential reconstruction method. We then study its holographic
dual QCD model. The kinetic gauge function can be fixed by requesting the
linear Regge spectrum of mesons. We calculate the free energy to obtain the
phase diagram of the holographic QCD model.Comment: 21 pages, 17 figures. arXiv admin note: substantial text overlap with
arXiv:1301.038
Confinement-Deconfinment Phase Transition for Heavy Quarks
We study confinement-deconfinement phase transition for heavy quarks in a
bottom-up holographic QCD model. We consider a black hole background in an
Einstein-Maxwell-scalar system and add probe open strings to the background.
Combining the various configurations of the open strings and the phase
structure of the black hole background itself, we obtain the
confinement-deconfinement phase diagram for heavy quarks in the holographic QCD
model.Comment: 23 pages, 14 figures, published in JHEP. arXiv admin note: text
overlap with arXiv:1301.038
- …