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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Some Remarks on Automorphy and the Sato-Tate Conjecture,We present an informal account of the evolution of the Sato-Tate conjecture and describe some recent work of the authors that it gave rise to.

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The Breuil-Schneider Conjecture: A Survey,This note is a survey of the Breuil-Schneider conjecture, based on the authors 30?min talk at the 13th conference of the Canadian Number Theory Association (CNTA XIII) held at Carleton University, June 16–20, 2014. We give an overview of the problem, and describe certain recent developments by the author and others.

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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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Current Chinese Economic Report Seriesor 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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978-1-4939-4991-5Springer Science+Business Media New York 2015

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Ay?e Alaca,?aban Alaca,Kenneth S. WilliamsCollects research papers devoted to topics in different areas of current research in number theory together in one volume.Presents concise surveys of leading edge number theory research.Provides surve

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Fields Institute Communicationshttp://image.papertrans.cn/a/image/150270.jpg

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Regional Logistics Market in China,, the Witt construction and a completion process. We show that the transposition of the perfection process at the real archimedean place is identical to the “dequantization” process and yields Viro’s tropical real hyperfield .. Then, we prove that the archimedean Witt construction in the context of