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Titlebook: Analytic Number Theory and Diophantine Problems; Proceedings of a Con A. C. Adolphson,J. B. Conrey,R. I. Yager Conference proceedings 1987

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發(fā)表于 2025-3-21 17:22:52 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Analytic Number Theory and Diophantine Problems
期刊簡稱Proceedings of a Con
影響因子2023A. C. Adolphson,J. B. Conrey,R. I. Yager
視頻videohttp://file.papertrans.cn/157/156540/156540.mp4
學科分類Progress in Mathematics
圖書封面Titlebook: Analytic Number Theory and Diophantine Problems; Proceedings of a Con A. C. Adolphson,J. B. Conrey,R. I. Yager Conference proceedings 1987
影響因子A conference on Analytic Number Theory and Diophantine Problems was held from June 24 to July 3, 1984 at the Oklahoma State University in Stillwater. The conference was funded by the National Science Foundation, the College of Arts and Sciences and the Department of Mathematics at Oklahoma State University. The papers in this volume represent only a portion of the many talks given at the conference. The principal speakers were Professors E. Bombieri, P. X. Gallagher, D. Goldfeld, S. Graham, R. Greenberg, H. Halberstam, C. Hooley, H. Iwaniec, D. J. Lewis, D. W. Masser, H. L. Montgomery, A. Selberg, and R. C. Vaughan. Of these, Professors Bombieri, Goldfeld, Masser, and Vaughan gave three lectures each, while Professor Hooley gave two. Special sessions were also held and most participants gave talks of at least twenty minutes each. Prof. P. Sarnak was unable to attend but a paper based on his intended talk is included in this volume. We take this opportunity to thank all participants for their (enthusiastic) support for the conference. Judging from the response, it was deemed a success. As for this volume, I take responsibility for any typographical errors that may occur in the final
Pindex Conference proceedings 1987
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發(fā)表于 2025-3-21 20:50:11 | 只看該作者
Polynomials with Low Height and Prescribed Vanishing,inear equations. Our purpose here is to illustrate the use of this new version of Siegel’s lemma in the problem of constructing a simple type of auxiliary polynomial. More precisely, let . be an algebraic number field, O. its ring of integers, α.,α.,…,α. distinct, nonzero algebraic numbers (which ar
板凳
發(fā)表于 2025-3-22 01:35:19 | 只看該作者
On Irregularities of Distribution and Approximate Evaluation of Certain Functions II,stribution of N points in .. such that h(y) is finite for every y ∈ .. For x = (x.,x.) in .., let .(x) denote the rectangle consisting of all y = (y.,y.) in .. satisfying 0 < y. < x. and 0 < y. < x., and write . Let μ denote the Lebesgue measure in U., and write
地板
發(fā)表于 2025-3-22 06:48:58 | 只看該作者
Differential Difference Equations Associated with Sieves, together with some valuable numerical information was given by Iwaniec, van de Lune and te Riele [5] (see also te Riele [7]) and what we seek to do here, in effect, is to justify the conclusions of [5]. It has been shown elsewhere (in [2]) how to construct sieves of dimension κ > 1 on the basis of
5#
發(fā)表于 2025-3-22 09:56:12 | 只看該作者
Primes in Arithmetic Progressions and Related Topics,ive topics. These topics are connected by a thread which we shall follow in the reverse order so that in fact the work in each section was to a greater or lesser extent motivated by the work in the subsequent sections.
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發(fā)表于 2025-3-22 18:28:36 | 只看該作者
Non-Vanishing of Certain Values of ,-Functions,integers O. of .. Here χ is a grossencharacter of . of type A.. That is, χ is a complex-valued multiplicative function on the ideals of O. such that . for all α O., α = 1 (mod f.), where n, m ∈ Z and f. is an ideal of O. (the conductor of χ). We call (n,m) the infinity type of χ. The above series de
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發(fā)表于 2025-3-23 05:05:53 | 只看該作者
,The Distribution of Ω(n) among Numbers with No Large Prime Factors, far from k., and for large x, y with . the number of solutions n of Ω(n) = k in S(x,y) is roughly exp(-V(k-k.).) times the number of solutions n of Ω(n) = k. in S(x,y)..In the course of the proof, machinery is developed which permits a sharpening in the same range of previous estimates for the loca
10#
發(fā)表于 2025-3-23 06:01:06 | 只看該作者
Conference proceedings 1987The conference was funded by the National Science Foundation, the College of Arts and Sciences and the Department of Mathematics at Oklahoma State University. The papers in this volume represent only a portion of the many talks given at the conference. The principal speakers were Professors E. Bombi
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