標(biāo)題: Titlebook: Analytic Number Theory and Diophantine Problems; Proceedings of a Con A. C. Adolphson,J. B. Conrey,R. I. Yager Conference proceedings 1987 [打印本頁(yè)] 作者: TEMPO 時(shí)間: 2025-3-21 17:22
書目名稱Analytic Number Theory and Diophantine Problems影響因子(影響力)
書目名稱Analytic Number Theory and Diophantine Problems影響因子(影響力)學(xué)科排名
書目名稱Analytic Number Theory and Diophantine Problems網(wǎng)絡(luò)公開度
書目名稱Analytic Number Theory and Diophantine Problems網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Analytic Number Theory and Diophantine Problems被引頻次
書目名稱Analytic Number Theory and Diophantine Problems被引頻次學(xué)科排名
書目名稱Analytic Number Theory and Diophantine Problems年度引用
書目名稱Analytic Number Theory and Diophantine Problems年度引用學(xué)科排名
書目名稱Analytic Number Theory and Diophantine Problems讀者反饋
書目名稱Analytic Number Theory and Diophantine Problems讀者反饋學(xué)科排名
作者: 供過于求 時(shí)間: 2025-3-21 20:50
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作者: 山頂可休息 時(shí)間: 2025-3-22 01:35
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 作者: 做事過頭 時(shí)間: 2025-3-22 06:48
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 作者: NATTY 時(shí)間: 2025-3-22 09:56
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.作者: Somber 時(shí)間: 2025-3-22 13:34 作者: 發(fā)展 時(shí)間: 2025-3-22 18:28
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作者: Wernickes-area 時(shí)間: 2025-3-22 23:26 作者: Inflated 時(shí)間: 2025-3-23 05:05
,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作者: CLAM 時(shí)間: 2025-3-23 06:01
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作者: 責(zé)怪 時(shí)間: 2025-3-23 09:50
Statistical Analysis of Longitudinal Data,fines an analytic function for .(s) sufficiently large which can be analytically continued to the entire complex plane and satisfies a functional equation. By translating s or applying complex conjugation, we can clearly assume that χ has infinity type (n,0) with n = n. > 0, as we will from here on. The functional equation is then as follows.作者: 策略 時(shí)間: 2025-3-23 16:29
Non-Vanishing of Certain Values of ,-Functions,fines an analytic function for .(s) sufficiently large which can be analytically continued to the entire complex plane and satisfies a functional equation. By translating s or applying complex conjugation, we can clearly assume that χ has infinity type (n,0) with n = n. > 0, as we will from here on. The functional equation is then as follows.作者: caldron 時(shí)間: 2025-3-23 20:22
Peter Auer,Shiau Hong Lim,Chris Watkinsless than N, vanish at each α. with multiplicity at least m. and have low height. In particular, the height of such plynomials will be bounded from above by a simple function of the degrees and heights of the algebraic numbers α. and the remaining data in the problem: m.,m.,…m., N and the field constants associated with ..作者: Connotation 時(shí)間: 2025-3-23 22:35
Polynomials with Low Height and Prescribed Vanishing,less than N, vanish at each α. with multiplicity at least m. and have low height. In particular, the height of such plynomials will be bounded from above by a simple function of the degrees and heights of the algebraic numbers α. and the remaining data in the problem: m.,m.,…m., N and the field constants associated with ..作者: 美學(xué) 時(shí)間: 2025-3-24 05:35
0743-1643 illwater. 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 Professor作者: GORGE 時(shí)間: 2025-3-24 09:00
Christie Courtnage,Evgueni Smirnovere, 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 such information. In this connection we acknowledge also our indebtedness to the important thesis of Rawsthorne [6].作者: Amnesty 時(shí)間: 2025-3-24 12:14
Differential Difference Equations Associated with Sieves,ere, 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 such information. In this connection we acknowledge also our indebtedness to the important thesis of Rawsthorne [6].作者: 向外才掩飾 時(shí)間: 2025-3-24 15:46
Conference proceedings 1987his 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作者: Subdue 時(shí)間: 2025-3-24 19:13 作者: 采納 時(shí)間: 2025-3-24 23:29
https://doi.org/10.1007/978-3-319-11812-3Let . be a set of positive integers and g be a multiplicative function. Consider the problem of estimating the sum . A natural way to start is to write . and reverse the order of summation. This in turn leads to the estimation of the contribution arising from the large divisors d of n, where n ., which often presents difficulties.作者: trigger 時(shí)間: 2025-3-25 05:04 作者: 運(yùn)動(dòng)吧 時(shí)間: 2025-3-25 09:50
Introduction and Theoretical Motivation,In 1943, A. Selberg [15] Deduced From The Riemann Hypothesis (Rh) that . for X. ≤ δ ≤ X., X ≥ 2. Selberg was concerned with small values of δ and the constraint δ ≤ X. was imposed more for convenience than out of necessity. For Larger δ we have the following result.作者: neuron 時(shí)間: 2025-3-25 13:14
https://doi.org/10.1007/978-3-642-33938-7In his famous Habilitationsschrift of 1854 on trigonometric series and integration theory, Riemann gave the following interesting example which shows his high ingenuity of analysis and arithmetic as well.作者: disparage 時(shí)間: 2025-3-25 17:15 作者: 聯(lián)想 時(shí)間: 2025-3-25 23:40
https://doi.org/10.1007/978-3-031-03910-2Let m ≥ 1. The k-th polygonal number of order m+2 is the sum of the first k terms of the arithmetic progression 1, 1+m, l+2m, l+3m,… The polygonal numbers of orders 3 and 4 are the triangular numbers and squares, respectively.作者: 委托 時(shí)間: 2025-3-26 02:35 作者: 影響深遠(yuǎn) 時(shí)間: 2025-3-26 04:51
Technologien für die intelligente AutomationTwo basic questions concerning the Ramanujan τ-function concern the size and variation of these numbers:作者: 歡樂東方 時(shí)間: 2025-3-26 10:33 作者: TERRA 時(shí)間: 2025-3-26 13:28
Simple Zeros of the Zeta-Function of a Quadratic Number Field, II,Let K be a fixed quadratic extension of . and write ζ.(s) for the Dedekind zeta-function of K, where s = σ + it. It is wellknown, and easy to prove, that the number N.(T) of zeros of ζ.(s) in the region 0 < σ < 1, 0 < t ≤ T satisfies . as T → ∞. On the other hand, not much is known about the number of . that are simple.作者: Longitude 時(shí)間: 2025-3-26 20:26
Pair Correlation of Zeros and Primes in Short Intervals,In 1943, A. Selberg [15] Deduced From The Riemann Hypothesis (Rh) that . for X. ≤ δ ≤ X., X ≥ 2. Selberg was concerned with small values of δ and the constraint δ ≤ X. was imposed more for convenience than out of necessity. For Larger δ we have the following result.作者: lobster 時(shí)間: 2025-3-26 23:27 作者: liaison 時(shí)間: 2025-3-27 03:49
,Another Note on Baker’s Theorem,Recently G. Wüstholz [5], [6] proved a theorem in transcendence which includes and greatly extends many classical results. In particular it generalizes Baker’s famous theorem [2] on linear forms in logarithms, and places it within the context of arbitrary commutative group varieties.作者: 事情 時(shí)間: 2025-3-27 07:42
Sums of Polygonal Numbers,Let m ≥ 1. The k-th polygonal number of order m+2 is the sum of the first k terms of the arithmetic progression 1, 1+m, l+2m, l+3m,… The polygonal numbers of orders 3 and 4 are the triangular numbers and squares, respectively.作者: 合唱團(tuán) 時(shí)間: 2025-3-27 11:11
On the Density of B2-Bases,A sequence . of positive integers is called a Sidon sequence or a B.-sequence if the pairwise sums are all distinct. If, in addition every non-zero integer appears in the set of differences we call . a B.-basis.作者: 加入 時(shí)間: 2025-3-27 13:44
Statistical Properties of Eigenvalues of the Hecke Operators,Two basic questions concerning the Ramanujan τ-function concern the size and variation of these numbers:作者: peritonitis 時(shí)間: 2025-3-27 21:42
https://doi.org/10.1007/978-1-4612-4816-3analytic number theory; number theory; prime number作者: surrogate 時(shí)間: 2025-3-27 23:36
978-1-4612-9173-2Birkh?user Boston 1987作者: 青少年 時(shí)間: 2025-3-28 03:51
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.作者: critique 時(shí)間: 2025-3-28 09:40
Peter Auer,Shiau Hong Lim,Chris Watkinsinear 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作者: saturated-fat 時(shí)間: 2025-3-28 12:41 作者: 提名的名單 時(shí)間: 2025-3-28 16:35 作者: 大火 時(shí)間: 2025-3-28 19:00 作者: Rheumatologist 時(shí)間: 2025-3-29 01:41
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. W作者: Angiogenesis 時(shí)間: 2025-3-29 04:59 作者: CHASE 時(shí)間: 2025-3-29 07:36 作者: Forehead-Lift 時(shí)間: 2025-3-29 12:57 作者: fatty-acids 時(shí)間: 2025-3-29 18:54
Lectures on the Thue Principle,gebraic 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.作者: 里程碑 時(shí)間: 2025-3-29 21:05 作者: 終止 時(shí)間: 2025-3-30 03:11 作者: Ballerina 時(shí)間: 2025-3-30 05:33 作者: 排斥 時(shí)間: 2025-3-30 08:42 作者: 縫紉 時(shí)間: 2025-3-30 14:26
,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.作者: nonchalance 時(shí)間: 2025-3-30 19:13 作者: 金絲雀 時(shí)間: 2025-3-30 21:40 作者: Diverticulitis 時(shí)間: 2025-3-31 03:33
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.作者: Presbycusis 時(shí)間: 2025-3-31 07:43 作者: incite 時(shí)間: 2025-3-31 10:34
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.作者: correspondent 時(shí)間: 2025-3-31 13:56
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.作者: 低位的人或事 時(shí)間: 2025-3-31 21:25
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.作者: 尖牙 時(shí)間: 2025-4-1 00:43 作者: forebear 時(shí)間: 2025-4-1 05:36 作者: 旋轉(zhuǎn)一周 時(shí)間: 2025-4-1 07:58