ar X iv : 1 70 1 . 03 62 9 v 1 [ m at h . A P ] 1 3 Ja n 20 17 NONDEGENERACY OF HALF - HARMONIC MAPS FROM R INTO S 1

ar X iv : m at h - ph / 0 30 10 19 v 1 1 5 Ja n 20 03 Which distributions of matter diffract ? — Some answers

ar X iv : 0 80 6 . 01 70 v 3 [ m at h . Q A ] 1 9 Ja n 20 09 WEIGHT MULTIPLICITY POLYNOMIALS OF MULTI - VARIABLE WEYL MODULES

This paper is based on the observation that dimension of weight spaces of multi-variable Weyl modules depends polynomially on the highest weight (Conjecture 1). We support this conjecture by various explicit answers for up to three variable cases and discuss the underlying combinatorics.

ar X iv : h ep - p h / 03 01 12 9 v 1 1 7 Ja n 20 03 NUCLEON STRANGENESS IN DISPERSION THEORY

Dispersion relations provide a powerful tool to describe the low-energy structure of hadrons. We review the status of the strange vector form factors of the nucleon in dispersion theory. We also comment on open questions and the relation to chiral perturbation theory.

ar X iv : m at h / 02 01 07 7 v 3 [ m at h . G N ] 1 6 Ja n 20 03 A family of pseudo metrics on B 3 and its application

We define a family of pseudo metrics on B and study elementary properties of the associated metric spaces. As an application we prove that, for any a > 0 and for any countable-to-one function f from (S, dE) to [0, a], the set NMnf = {x ∈ S 2 | ∃y ∈ S such that f(x)− f(y) > ndE(x, y)} is uncountable for all n ∈ N, where dE is the standard Euclidean metric on S = { (x, y, z) ∈ R | x + y + z = 1 }

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