ar X iv : m at h / 06 10 69 3 v 1 [ m at h . C O ] 2 3 O ct 2 00 6 Rigidity and the chess board theorem for cube packings Andrzej

ar X iv : m at h / 06 09 42 6 v 3 [ m at h . C O ] 1 5 O ct 2 00 6 SUM - PRODUCT ESTIMATES IN FINITE FIELDS VIA KLOOSTERMAN

We establish improved sum-product bounds in finite fields using incidence theorems based on bounds for classical Kloosterman and related sums.

ar X iv : m at h / 06 10 28 4 v 1 [ m at h . SG ] 9 O ct 2 00 6 A UNIQUE DECOMPOSITION THEOREM FOR TIGHT CONTACT 3 - MANIFOLDS

It has been shown by V. Colin that every tight contact 3-manifold can be written as a connected sum of prime manifolds. Here we prove that the summands in this decomposition are unique up to order and contactomor-phism.

ar X iv : m at h / 06 09 42 6 v 2 [ m at h . C O ] 5 O ct 2 00 6 SUM - PRODUCT ESTIMATES IN FINITE FIELDS VIA KLOOSTERMAN

We establish improved sum-product bounds in finite fields using incidence theorems based on bounds for classical Kloosterman and related sums.

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

ar X iv : m at h / 02 06 04 1 v 3 [ m at h . FA ] 5 O ct 2 00 2 Abstract harmonic analysis , homological algebra , and operator spaces

harmonic analysis, homological algebra, and operator spaces