Báo cáo toán học: "On the Structure of Sets with Few Three-Term Arithmetic Progressions" pptx

... combinatorics 17 (2010), #R128 15 On the Structure of Sets with Few Three-Term Arithmetic Progressions Ernie Croot ∗ Georgia Institute of Technology School of Mathematics 103 Skiles Atlanta, Ga 30332 ecroot@math.gatech.edu Submitted: ... number of cosets of some lar ge-dimensional su bspace of F n p . 1 Introduction Of central importance to the subject of addit...

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Ngày tải lên: 05/08/2014, 15:20

... 800 1000 Figure 1: The function m → κ m 4.3. Statement and pro of of the main theorem The situation is the following: we look for the asymptotics of the coefficients p n (m) of the formal series ... power of which belongs to I; in the present situation, q(m)is the positive generator of the radical of the ideal of Z generated by m. the electronic journal o...

Ngày tải lên: 07/08/2014, 06:23

... g of G, the lower bound of N g (S) remains undetermined. In this paper, we determine the best possible lower bound of N g (S) for an arbitrary g of G. We also characterize the structures of the ... the proof of the theorem. If we further assume that E(S) = {0} in Theorem 12, t he structure of S can be further restricted. Corollary 13. If S is a sequence over a finit...

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... Thus, the the existence of a SOMA(n − 1,n) is equivalent to the existence of n − 1 MOLS of order n, and hence to the existence of a projective plane of order n.Ifnis a power of a prime then there exists ... N-orbit representatives of the cliques of ∆ of weight-sum 30. In addition, it turns out that the union of the elements of each of these representative c...

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... 0, 0 ≤ j ≤ n. Then the solution of (4.4) and (4.5) is bounded if and only if the condition (5.5) is satisfied. Proof. The proof is immediate consequence from proof of Theorem 4.3 with Remark 5.1. Remark ... 6.5 below. To the best of our knowledge, this is the first article dealing with the boundedness property of the solutions of a linear inhomogeneous Volterra differ...

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