Titlebook: Advances in the Theory of Numbers; Proceedings of the T Ay?e Alaca,?aban Alaca,Kenneth S. Williams Conference proceedings 2015 Springer Sci

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,A Prime Analogue of Roth’s Theorem in Function Fields,or non-zero elements .?=?(..,?..,?..) of . satisfying .. + .. + ..?=?0, let . denote the maximal cardinality of a set . which contains no non-trivial solution of . with ..?∈?..?(1?≤?.?≤?3). By applying the polynomial Hardy-Littlewood circle method, we prove that ..

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Division Polynomials with Galois Group ,,ing two-parameter polynomials directly from the defining group-theoretic data seems beyond feasibility. Instead we provide two independent constructions of these polynomials, one from 3-division points on covers of the projective line studied by Deligne and Mostow, and one from 2-division points of

招待

,A Variant of Weyl’s Inequality for Systems of Forms and Applications, of B.J.?Birch on forms in many variables. More precisely, we show that the dimension of the locus .. introduced in this work can be replaced by the maximal dimension of the singular loci of forms in the linear system of the given forms. In some cases this improves on the aforementioned theorem of B

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Laura N. Purcell M.D.,Paula D. Strassle M.S.P.H.,Jen Jen Yeh M.D.cial capital theory referring to the value of social relationships and networks is used to guide this research. Based on our case study analysis, we are able to distinguish different types and life-cycle phases of E-Commerce relationships and subsequently to identify different roles of social capita