ar X iv : 0 81 1 . 05 57 v 1 [ m at h . N T ] 4 N ov 2 00 8 THE EVALUATION OF TORNHEIM DOUBLE SUMS . PART 2

ar X iv : 0 81 1 . 12 76 v 1 [ m at h - ph ] 8 N ov 2 00 8 Correlation Functions for β = 1 Ensembles of Matrices of Odd Size

Using the method of Tracy and Widom we rederive the correlation functions for β = 1 Hermitian and real asymmetric ensembles of N ×N matrices with N odd.

ar X iv : 0 81 1 . 47 57 v 1 [ he p - ph ] 2 8 N ov 2 00 8 Higher order corrections to H ± production

I discuss recent calculations of higher-order corrections to charged Higgs production through various partonic subprocesses. Particular attention is paid to H − production in association with a top quark at the LHC. c Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence. Higher order corrections to H ± production Nikolaos Kidonaki...

ar X iv : m at h - ph / 0 40 40 45 v 2 2 5 N ov 2 00 4 On the refined 3 - enumeration of alternating sign matrices

An explicit expression for the numbers A(n, r; 3) describing the refined 3-enumeration of alternating sign matrices is given. The derivation is based on the recent results of Stroganov for the corresponding generating function. As a result, A(n, r; 3)'s are represented as 1-fold sums which can also be written in terms of terminating 4 F 3 series of argument 1/4.

ar X iv : 0 81 1 . 23 46 v 2 [ m at h . A G ] 1 6 N ov 2 00 8 EFFECTIVE ALGEBRAIC DEGENERACY

We prove that any nonconstant entire holomorphic curve f : C → X in a projective algebraic hypersurface X ⊂ P(C) of arbitrary dimension n > 2 must be algebraically degenerate if X is generic and if its degree satisfies the effective lower bound degX > n n+5 . Table of contents

ar X iv : h ep - t h / 05 11 16 1 v 2 1 9 N ov 2 00 6 The Effective Potential in the Massive φ 4 4 Model