m at h . SP ] 2 8 Ja n 20 04 IF THEY ARE LIMIT PERIODIC ?

ar X iv : m at h / 04 12 46 1 v 3 [ m at h . D G ] 1 7 Ja n 20 05 Periodic Maximal surfaces in the Lorentz - Minkowski space

A maximal surface S with isolated singularities in a complete flat Lorentzian 3-manifold N is said to be entire if it lifts to a (periodic) entire multigraph S̃ in L. In addition, S is called of finite type if it has finite topology, finitely many singular points and S̃ is a finitely sheeted multigraph. Complete (or proper) maximal immersions with isolated singularities in N are entire, and entir...

ar X iv : m at h / 04 01 12 6 v 1 [ m at h . N T ] 1 3 Ja n 20 04 THREE LECTURES ON THE RIEMANN ZETA - FUNCTION

ar X iv : h ep - t h / 03 01 23 5 v 1 2 9 Ja n 20 03 Higher - Spin Theories and Sp ( 2 M ) Invariant Space – Time

Some methods of the " unfolded dynamics " machinery particularly useful for the analysis of higher spin gauge theories are summarized. A formulation of 4d conformal higher spin theories in Sp(8) invariant space-time with matrix coordinates and its extension to Sp(2M) invariant space-times are discussed. A new result on the global characteriza-ton of causality of physical events in the Sp(2M) in...

8 v 2 2 8 Ja n 20 04 Rare decays B̄ → X s ( d ) γ at the NLO

We present an independent calculation of O(αs) matrix elements of the QCD penguin operators for the decays B̄ → Xs(d)γ. The Mellin-Barnes representation technique is applied for the systematic numerical evaluation of involved two-loop diagrams. The numerical effect of the calculated contributions is confirmed to be of order of 1%. We also present an updated numerical analysis for B̄ → Xs(d)γ deca...

ar X iv : m at h / 04 02 15 2 v 2 [ m at h . Q A ] 1 4 Ja n 20 05 On relations for the q - multiple zeta values

We prove some relations for the q-multiple zeta values (qMZV). They are q-analogues of the cyclic sum formula, the Ohno relation and the Ohno-Zagier relation for the multiple zeta values (MZV). We discuss the problem to determine the dimension of the space spanned by qMZV's over Q, and present an application to MZV.