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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供过于求

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

山顶可休息

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

做事过头

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

NATTY

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.

Somber

发展

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

Wernickes-area

Inflated

,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

CLAM

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