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素数分布与计算数论专题论文集合

  • 创建者:数论天使
  • 创建时间:2011-09-18 22:57
  • 修改时间:2018-11-23 10:56
  • 介绍:本豆单收集素数分布方面的文章,特别那些与计算数论有关专题论文。
  • 关键词: 素数分布 计算数论 论文集合
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Some aspects and applications of the Riemann Hypothesis over finite fields26 p
pdf Some aspects and applications of the Riemann Hypothesis o..
These are the slides of my talk for the Verbania Conference on the Riemann Hypothesis in April 2009.
  • 上传人: 数论天使
  • 2018-05-27 17:36
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Les nombres premiers38 p
pdf Les nombres premiers
In March 2009, I gave a short lecture on prime numbers for the participants of the Swiss Mathematical Olympiad. The corresponding slides are in French..
  • 上传人: 数论天使
  • 2018-05-27 17:36
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Some local limit theorems in probability and number theory, 201237 p
pdf Some local limit theorems in probability and number theory..
These are the slides of a talk at the conference in honor of F. Delbaen´s 60th birthday, held at ETH Zürich in September 2012.
  • 上传人: 数论天使
  • 2018-05-27 17:45
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The geometry and probability of exponential sums85 p
pdf The geometry and probability of exponential sums
These are slides for Geneva Colloquium talk I gave on November 6, 2014.
  • 上传人: 数论天使
  • 2018-05-27 17:51
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A geometric interpretation of additive problems for primes92 p
pdf A geometric interpretation of additive problems for primes
These are the slides for the day of algebraic and arithmetic geometry, May 20, 2016, in Berlin.
  • 上传人: 数论天使
  • 2018-05-27 17:57
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Some functional limit theorems in number theory, 201667 p
pdf Some functional limit theorems in number theory, 2016
These are the slides for the fourth Strasbourg-Zürich analysis and probability meeting, November 3, 2016.
  • 上传人: 数论天使
  • 2018-05-27 18:00
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201807.05890v1 Mertens Sums requiring Fewer Values of the Möbius function14 p
pdf 201807.05890v1 Mertens Sums requiring Fewer Values of th..
We discuss certain identities involving μ(n) and M(x)=∑n≤xμ(n), the functions of Mobius and Mertens.
  • 上传人: 数论天使
  • 2018-07-17 19:25
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201309.7482v1 MERTENS´S THEOREM FOR SPLITTING PRIMES AND MORE26 p
pdf 201309.7482v1 MERTENS´S THEOREM FOR SPLIT..
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  • 上传人: 数论天使
  • 2018-07-19 18:38
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201807.07241v1 On Menon-Sury´s identity with several Dirichlet characters11 p
pdf 201807.07241v1 On Menon-Sury´s identity with severa..
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  • 上传人: 数论天使
  • 2018-07-21 17:50
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Nelen, I.F.M.M., Twin Prime Numbers, Bounded Gaps Between Primes38 p
pdf Nelen, I.F.M.M., Twin Prime Numbers, Bounded Gaps Bet..
In this thesis an in-depth explanation will be given of the proof Maynard gave in his article. In which the steps of the proofs will be expanded. He..
  • 上传人: 数论天使
  • 2018-04-05 16:32
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200912.4908v3 Inequities in the Shanks-Renyi Prime Number Race - An asymptotic formula for the densities76 p
pdf 200912.4908v3 Inequities in the Shanks-Renyi Prime Numbe..
Chebyshev was the first to observe a bias in the distribution of primes in residue classes. The general phenomenon is that if a is a nonsquare\mod q ..
  • 上传人: 数论天使
  • 2015-05-19 07:08
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201803.08964v1 The local distribution of the number of small prime factors - variation of the classical theme33 p
pdf 201803.08964v1 The local distribution of the number of sma..
We obtain uniform estimates for Nk(x,y), the number of positive integers n up to x for which ωy(n)=k, where ωy(n) is the number of ..
  • 上传人: 数论天使
  • 2018-03-29 11:46
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201711.08539v1 Extreme biases in prime number races with many contestants30 p
pdf 201711.08539v1 Extreme biases in prime number races with m..
We continue to investigate the race between prime numbers in many residue classes modulo q, assuming the standard conjectures GRH and LI. <br/>We show ..
  • 上传人: 数论天使
  • 2018-04-01 17:18
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Different Approaches to the Distribution of Primes25 p
pdf Different Approaches to the Distribution of Primes
In this lecture celebrating the 150th anniversary of the seminal paper of Riemann, we discuss various approaches to interesting questions concerning the dist..
  • 上传人: 数论天使
  • 2010-09-18 10:59
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n阶欧拉函数的计算公式4 p
pdf n阶欧拉函数的计算公式
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  • 上传人: lvwanming
  • 2011-08-09 09:49
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