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

排斥

縫紉

,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 local behaviour of ψ(x,y) as a function of x.

nonchalance

金絲雀

Diverticulitis

Jake T. Lussier,Nitesh V. Chawlagebraic numbers in order to show that algebraic numbers cannot be approximated too well by rational numbers. In particular we will give special attention to the problem of obtaining effective measures of irrationality, or types, for various classes of algebraic numbers.

Presbycusis

incite

https://doi.org/10.1007/978-3-030-88942-5ive 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.

correspondent

Kazuki Kawamura,Akihiro Yamamotoarmonic analysis on GL(2,.) with the techniques of analytic number theory, a method inspired by A. Selberg [17]. A lot of impetus has been gained by the trace formula of Kuznetsov [11], [12], which relates Kloosterman sums with eigenfunctions of the Laplacian on GL(2,.) modulo a discrete subgroup. We cite some of the most striking applications.

低位的人或事

Summary, Applications, Future Development,n Mangoldt function. Although we are unable to establish the naturally conjectured results for this sum, we shall show how the introduction of averaging — in a form likely to occur in applications — can lead to substantial improvements.

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