標題: Titlebook: Arithmetical Aspects of the Large Sieve Inequality; Olivier Ramaré,D. S. Ramana Book 2009 Hindustan Book Agency (India) 2009 [打印本頁] 作者: BREED 時間: 2025-3-21 18:39
書目名稱Arithmetical Aspects of the Large Sieve Inequality影響因子(影響力)
書目名稱Arithmetical Aspects of the Large Sieve Inequality影響因子(影響力)學科排名
書目名稱Arithmetical Aspects of the Large Sieve Inequality網(wǎng)絡公開度
書目名稱Arithmetical Aspects of the Large Sieve Inequality網(wǎng)絡公開度學科排名
書目名稱Arithmetical Aspects of the Large Sieve Inequality被引頻次
書目名稱Arithmetical Aspects of the Large Sieve Inequality被引頻次學科排名
書目名稱Arithmetical Aspects of the Large Sieve Inequality年度引用
書目名稱Arithmetical Aspects of the Large Sieve Inequality年度引用學科排名
書目名稱Arithmetical Aspects of the Large Sieve Inequality讀者反饋
書目名稱Arithmetical Aspects of the Large Sieve Inequality讀者反饋學科排名
作者: Arbitrary 時間: 2025-3-21 22:15 作者: NATTY 時間: 2025-3-22 03:18 作者: 亞麻制品 時間: 2025-3-22 04:55 作者: Panther 時間: 2025-3-22 11:45 作者: 舔食 時間: 2025-3-22 15:53 作者: 典型 時間: 2025-3-22 19:25 作者: 賭博 時間: 2025-3-22 21:14
Small gaps between primes,sis of the hermitian product stemming from a local system. We show furthermore that the key point of Bombieri & Davenport’s proof concerning small differences between primes is in fact contained in Lemma 1.2 and 1.1.作者: 古文字學 時間: 2025-3-23 02:53
Approximating by a local model, (.(.)). together with an additional function .∞ (which will take care of the size constraints), for which we assume the following bound:. for some parameters ., ., . and (.).. The Bombieri-Vinogradov Theorem falls within this framework with .∞ being the characteristic function of real numbers ≤ . a作者: Ambiguous 時間: 2025-3-23 07:55
Book 2009nes, some of them being new, like a sharp upper bound for the number of twin primes $p$ that are such that $p+1$ is squarefree. In the end the problem of equality in the large sieve inequality is considered and several results in this area are also proved.作者: Barter 時間: 2025-3-23 12:32
al other ones, some of them being new, like a sharp upper bound for the number of twin primes $p$ that are such that $p+1$ is squarefree. In the end the problem of equality in the large sieve inequality is considered and several results in this area are also proved.978-93-86279-40-8作者: palliative-care 時間: 2025-3-23 17:10
Arithmetical Aspects of the Large Sieve Inequality作者: exophthalmos 時間: 2025-3-23 20:29 作者: TEM 時間: 2025-3-23 23:56
Approximating by a local model,hile . will be independent of it and only accounts for the effect of the finite places. We shall need some properties of these .’s, namely:.This equation may look unpalatable, but here is an equivalent formulation:. where it is maybe easier to consider . as one function (the ., as in (13.1) and (13.作者: 有偏見 時間: 2025-3-24 04:45 作者: EXULT 時間: 2025-3-24 06:37
Business Framework Implementation,We begin with an abstract hermitian setting which we will use to prove the large sieve inequality. We develop more material than is required for such a task. This is simply to prepare the ground for future uses, and we shall even expand on this setting in chapter 7; the final stroke will only appear in section 10.1.作者: innovation 時間: 2025-3-24 13:26
Using the CSLA .NET Base Classes,Part of the material given here has already appeared in (Ramaré & Ruzsa, 2001). Theorem 2.1 is the main landmark of this chapter. From there onwards, what we do should become clearer to the reader. In particular, we shall detail an application of Theorem 2.1 to the Brun-Titchmarsh Theorem.作者: addict 時間: 2025-3-24 15:35
Expert VB 2005 Business ObjectsWe present here some general material pertaining to the family of functions we consider in our sieve setting (see chapter 2, in particular section 2.2).作者: Malleable 時間: 2025-3-24 22:15 作者: Hemoptysis 時間: 2025-3-25 01:46 作者: FLINT 時間: 2025-3-25 05:03
Object-Oriented Application Design,We now turn towards another way of using the large sieve inequality in an arithmetical way, here on prime numbers. This application comes from (Ramaré & Schlage-Puchta, 2008). A exposition in the French addressing a large audience can be found in (Ramare, 2005).作者: LITHE 時間: 2025-3-25 08:06 作者: Grating 時間: 2025-3-25 15:24 作者: GRAIN 時間: 2025-3-25 19:31
Business Framework Implementation,Upto now, we did not investigate precisely what happens at the place at infinity. We introduced some Fourier transforms in chapter 10, and we already saw some expressions frequent in this area of mathematics in section 1.2.1. We expand all these considerations in this chapter, and, inter alia, shall provide a proof of Theorem 1.1.作者: 氣候 時間: 2025-3-25 20:56 作者: 厭食癥 時間: 2025-3-26 00:39
The large sieve inequality,We begin with an abstract hermitian setting which we will use to prove the large sieve inequality. We develop more material than is required for such a task. This is simply to prepare the ground for future uses, and we shall even expand on this setting in chapter 7; the final stroke will only appear in section 10.1.作者: 過于平凡 時間: 2025-3-26 07:24
An extension of the classical arithmetical theory of the large sieve,Part of the material given here has already appeared in (Ramaré & Ruzsa, 2001). Theorem 2.1 is the main landmark of this chapter. From there onwards, what we do should become clearer to the reader. In particular, we shall detail an application of Theorem 2.1 to the Brun-Titchmarsh Theorem.作者: Intractable 時間: 2025-3-26 12:18
Some general remarks on arithmetical functions,We present here some general material pertaining to the family of functions we consider in our sieve setting (see chapter 2, in particular section 2.2).作者: 無彈性 時間: 2025-3-26 13:17 作者: 傷心 時間: 2025-3-26 20:14
A weighted hermitian inequality,We continue to develop the theory in the general context of chapter 1 with a view to an application in the chapter that follows.作者: Lasting 時間: 2025-3-26 21:48
A first use of local models,We now turn towards another way of using the large sieve inequality in an arithmetical way, here on prime numbers. This application comes from (Ramaré & Schlage-Puchta, 2008). A exposition in the French addressing a large audience can be found in (Ramare, 2005).作者: Trypsin 時間: 2025-3-27 04:24
The three primes theorem,We prove here the celebrated theorem of (Vinogradov, 1937):作者: Conclave 時間: 2025-3-27 08:12 作者: 輕快來事 時間: 2025-3-27 09:26 作者: SENT 時間: 2025-3-27 14:29
Selecting other sets of moduli,Concerning the moduli, we used mainly the simple condition . ≤ ., while everything we do is valid with a condition . ∈ . for some divisor closed set.. Usual sets are {. ≤ .}, or the set of integers ≤ . and with prime factors belonging to some sets (like prime to 2 or bounded by some .), or with a bounded number of prime factors.作者: 意外的成功 時間: 2025-3-27 21:07
Business Object Implementation,, (Bombieri, 1965), (Davenport & Halberstam, 1966b) developed it and in particular, two distinct parts emerged from these works:.Today the terminology . refers to a combination of the two aforementioned steps. We refer the reader to the excellent lecture notes (Montgomery, 1971) and the survey paper作者: FLINT 時間: 2025-3-27 23:05 作者: RENAL 時間: 2025-3-28 03:57
Using the CSLA .NET Base Classes,ween the parity principle, the constant 2 in this theorem and the so-called Siegel zeros cannot be avoided. (Selberg, 1949) shows that the constant 2 + .(1) in the Brun-Titchmarsh Theorem is optimal, .. He expanded this theory into what is known as the “parity principle” in (Selberg, 1972). See also作者: 散布 時間: 2025-3-28 06:17 作者: Tremor 時間: 2025-3-28 11:06
Implementing Remote Data Portal Hosts,e case of non-squarefree sifting sets, as was already done in (Selberg, 1976), but our setting will also carry through to sieving sequences and not only sets. Furthermore, this setting will enable us to compare the three different approaches: via the large sieve inequality, via local models or via t作者: FOR 時間: 2025-3-28 15:37
Implementing Remote Data Portal Hosts,the present chapter is to expand similarly the sieve weights.This is indeed what is done in the case of primes in (Ramaré, 1995) and what is rapidly presented in a general context in (Ramaré & Ruzsa, 2001), equation (4.1.21). Such a material is used in (Green & Tao, 2006).作者: Contend 時間: 2025-3-28 21:04
Expert VB 2008 Business Objectselied on an arithmetical rewriting of.. This rewriting did in fact handle the sum .(.) = ∑. |.(./.)|. as one single term, and we tried to maximize it in the subsequent analysis. More precisely, whenever (.) vanishes outside of a given compact set, we prove a useful lower bound for this quantity.作者: 戰(zhàn)役 時間: 2025-3-29 01:49
Authentication and Authorization,sis of the hermitian product stemming from a local system. We show furthermore that the key point of Bombieri & Davenport’s proof concerning small differences between primes is in fact contained in Lemma 1.2 and 1.1.作者: 技術 時間: 2025-3-29 05:36 作者: jungle 時間: 2025-3-29 07:16 作者: 不連貫 時間: 2025-3-29 12:02 作者: VEN 時間: 2025-3-29 16:56 作者: 思考才皺眉 時間: 2025-3-29 22:28
Expert VB 2008 Business Objectselied on an arithmetical rewriting of.. This rewriting did in fact handle the sum .(.) = ∑. |.(./.)|. as one single term, and we tried to maximize it in the subsequent analysis. More precisely, whenever (.) vanishes outside of a given compact set, we prove a useful lower bound for this quantity.作者: concentrate 時間: 2025-3-30 02:32 作者: 變形詞 時間: 2025-3-30 07:15
Hindustan Book Agency (India) 2009作者: 優(yōu)雅 時間: 2025-3-30 12:17
The Selberg sieve,e case of non-squarefree sifting sets, as was already done in (Selberg, 1976), but our setting will also carry through to sieving sequences and not only sets. Furthermore, this setting will enable us to compare the three different approaches: via the large sieve inequality, via local models or via the Selberg sieve.作者: corn732 時間: 2025-3-30 16:04
Fourier expansion of sieve weights,the present chapter is to expand similarly the sieve weights.This is indeed what is done in the case of primes in (Ramaré, 1995) and what is rapidly presented in a general context in (Ramaré & Ruzsa, 2001), equation (4.1.21). Such a material is used in (Green & Tao, 2006).作者: 雜役 時間: 2025-3-30 20:09 作者: 高歌 時間: 2025-3-30 23:51 作者: 拋物線 時間: 2025-3-31 01:09
Book 2009arithmetical sides of the large sieve inequality when applied to the Farey dissection. This will reveal connections between this inequality, the Selberg sieve and other less used notions like pseudo-characters and the $Lambda_Q$-function, as well as extend these theories. One of the leading themes o作者: 引水渠 時間: 2025-3-31 07:22
Business Framework Implementation, quadratic subgroup of index 2 … However the following theorem shows that if this is indeed the case for a given modulus . then the number of classes covered modulo some . prime to . is much larger:. .., . .. ...作者: Endemic 時間: 2025-3-31 09:21
Further arithmetical applications, quadratic subgroup of index 2 … However the following theorem shows that if this is indeed the case for a given modulus . then the number of classes covered modulo some . prime to . is much larger:. .., . .. ...作者: menopause 時間: 2025-3-31 13:56 作者: mitten 時間: 2025-3-31 18:19 作者: 小步舞 時間: 2025-3-31 22:34
Business Object Implementation, . refers to a combination of the two aforementioned steps. We refer the reader to the excellent lecture notes (Montgomery, 1971) and the survey paper (Montgomery, 1978) for the early part of the development, but cite here the papers of (Bombieri & Davenport, 1968) and (Bombieri, 1971).作者: 主動脈 時間: 2025-4-1 03:05 作者: tattle 時間: 2025-4-1 08:42
Using the CSLA .NET Base Classes,of the Brun-Tichmarsh Theorem, or in the even more restricted framework of this Theorem for the initial interval only, the constant 2 and “the parity principle” are indeed two different issues. This chapter is first devoted to links and parallels between Siegel zeros and the constant 2 in the aforementioned Theorem.作者: CLOT 時間: 2025-4-1 14:09 作者: 官僚統(tǒng)治 時間: 2025-4-1 15:00
Expert VB 2005 Business Objectsression for . in terms of additive characters has .(.) summands, while the one in terms of divisors (8.12) has only 2. summands. We now give further details in the case of prime twins, where this feature will clearly show up. A general treatment is given in section 11.6.作者: 賠償 時間: 2025-4-1 19:26
10樓作者: Obedient 時間: 2025-4-2 00:07
10樓
