Hydroxyindole-O-methyltransferase (HIOMT) catalyzes the last step in the metabolic pathway that synthesizes the hormone melatonin. We have found HIOMT mRNA present in small amounts in human retinaâ€¦ (More)

In this paper we show that sumsets A + B of finite sets A and B of integers, must contain long arithmetic progressions. The methods we use are completely elementary, in contrast to other works, whichâ€¦ (More)

We have isolated and characterized a cDNA for IGF-binding protein-2 (IGFBP-2) and its gene from the chick embryo. Using primers from a conserved region of the mammalian IGFBP-2 sequence, a cDNA cloneâ€¦ (More)

If k is a positive integer, we say that a set A of positive integers is k-sum-free if there do not exist a, b, c in A such that a + b = kc. In particular we give a precise characterization of theâ€¦ (More)

We prove, in particular, that every finite subset A of an abelian group with the additive energy Îº|A| contains a set Aâ€² such that |Aâ€²| â‰« Îº|A| and |Aâ€² âˆ’Aâ€²| â‰ª Îºâˆ’4|Aâ€²|.

Theorem 1 is due to Folkman [4], who also asked whether its assertion remains true if Îµ > 0 is replaced by a function which tends to 0 as nâ†’âˆž. Theorem 2 below states that this is indeed the case and,â€¦ (More)

Abstract. Call the set S1 Ã— Â· Â· Â· Ã— St tâ€“dimensional mâ€“box if |Si| = m for every i = 1, . . . , t. Let Rt(m, r) be the smallest integer R such that for every râ€“coloring of tâ€“fold cartesian product ofâ€¦ (More)

Although patients with diabetic retinopathy have been reported to have elevated vitreal IGF-I levels, it is not known whether diabetes also affects the levels of vitreal IGF binding proteins (IGFBPs)â€¦ (More)