ar X iv : 0 80 3 . 24 28 v 3 [ m at h . D S ] 1 9 N ov 2 00 8 Linearization of conservative toral homeomorphisms

ar X iv : h ep - l at / 0 11 00 06 v 3 6 N ov 2 00 1 1 Matrix elements of ∆ S = 2 operators with Wilson fermions

ar X iv : 0 80 3 . 44 39 v 1 [ m at h . D S ] 3 1 M ar 2 00 8 PERIODIC UNIQUE BETA - EXPANSIONS : THE SHARKOVSKIĬ ORDERING

Let β ∈ (1, 2). Each x ∈ [0, 1 β−1 ] can be represented in the form

ar X iv : 0 80 3 . 44 39 v 2 [ m at h . D S ] 4 A ug 2 00 8 PERIODIC UNIQUE BETA - EXPANSIONS : THE SHARKOVSKIĬ ORDERING

Let β ∈ (1, 2). Each x ∈ [0, 1 β−1 ] can be represented in the form

ar X iv : h ep - l at / 0 01 10 13 v 3 8 N ov 2 00 0 1 Chemical potential response of meson masses at finite temperature

We study the response of meson masses to the chemical potential (∂m/∂µ) at high temperature and at zero chemical potential on N f = 2 lattice with staggered fermions. Preliminary results for the meson composed of different quarks show that ∂m/∂µ|µ=0 is negative in the confinement phase and positive in the deconfinement phase.

ar X iv : m at h / 03 11 30 1 v 1 [ m at h . N T ] 1 8 N ov 2 00 3 ON THE ESTIMATION OF Z 2 ( s ) Aleksandar

Estimates for Z2(s) = ∫∞ 1 |ζ(12 + ix)|4x−s dx (Re s > 1) are discussed, both pointwise and in the mean square. It is shown how these estimates can be used to bound E2(T ), the error term in the asymptotic formula for ∫ T 0 |ζ(12 + it)|4 dt.