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黎曼猜想研究文献集锦

创建者:数论天使
创建时间:2011-09-08 09:58
修改时间:2018-11-23 10:38

介绍:本豆单收集有关黎曼猜想的原创论文,经典文献和著名的大师的著作,希望可以对有志研究黎曼猜想（包括应用）的学生、数论工作者、相关数学、物理学、计算机科学等领域的科学家有所帮助。
关键词: 数学问题数论黎曼猜想研究文献集锦

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pdf 201710.00603v3 Turing´s method for the Selberg zeta..

In one of his final research papers, Alan Turing introduced a method to certify the completeness of a purported list of zeros of the Riemann zeta-function&#..

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2018-07-24 17:04
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pdf 201809.09199v1 Time-changes preserving zeta functions, Sa..

We associate to any dynamical system with finitely many periodic orbits of each length a collection of possible time-changes of the sequence of periodic point..

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2018-09-26 16:20
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pdf 201809.09435v1 Power mean of the Hurwitz zeta function, A..

In this note we derive asymptotic formulas for power mean of the Hurwitz zeta function over large intervals.

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2018-09-26 17:32
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pdf 201809.09440v1 Relations among the Riemann zeta and Hurwi..

Several relations are obtained among the Riemann zeta and Hurwitz zeta functions, as well as their products. A particular case of these relations give r..

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2018-09-26 17:39
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pdf The Riemann zeta function and probability theory

In recent years, particularly under the influence of the physicist and number<br/>theorist F.J. Dyson, probabilistic ideas have penetrated the field..

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2018-07-08 20:33
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pdf The Error Zeta Function

This paper investigates a new special function referred to as the error zeta function. Derived<br/>as a fractional generalization of hypergeometric zeta ..

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2018-07-09 17:57
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pdf Hypergeometric Zeta Functions

This paper investigates a new family of special functions referred to as hypergeometric zeta functions. Derived from the integral representation of the c..

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2018-07-09 18:02
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pdf PhysRevLett.118.130201 - Hamiltonian for the Zeros of th..

A Hamiltonian operator ˆH is constructed with the property that if the eigenfunctions obey a suitable<br/>boundary condition, then the associated eigenvalue..

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2018-06-30 11:46
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pdf 201211.5191v1 An optimal choice of Dirichlet polynomials ..

We give a conditional result on the constant in the B\´aez-Duarte reformulation of the Nyman-Beurling criterion for the Riemann Hypothesis. W..

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2018-04-05 15:50
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pdf 201111.0925v1 The second shifted moment of the Riemann ze..

We prove an asymptotic formula for the second moment (up to height T) of the Riemann zeta function with two shifts. The case we deal with is whe..

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2018-04-05 14:19
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pdf 201701.06608v2 Linear correlations of the divisor function

Motivated by arithmetic applications on the number of points in a bihomogeneous variety and on moments of Dirichlet L-functions, we provide analytic continua..

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2018-04-04 08:43
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pdf 201611.09198v1 Averages of ratios of the Riemann zeta-fun..

We establish a connection between the ratios conjecture for the Riemann zeta-function and a conjecture concerning correlations of convolutions of M\"..

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2018-04-03 23:14
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pdf 201604.06124v2 Pair correlation and twin primes revisited

We use the methods developed in our papers on moments and divisor correlations to derive heuristically the conjectural ratios formula for two zetas over two z..

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2018-04-03 00:20
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pdf 201701.06651v1 Moments of zeta and correlations of diviso..

In this series of papers we examine the calculation of the 2kth moment and shifted moments of the Riemann zeta-function on the critical line using long Diric..

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2018-04-02 23:34
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pdf 201603.06893v2 Moments of zeta and correlations of divisor..

In this series we examine the calculation of the 2k-th moment and shifted moments of the Riemann zeta-function on the critical line using long Dirichlet poly..

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2018-04-02 22:37
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介绍：	本豆单收集有关黎曼猜想的原创论文,经典文献和著名的大师的著作,希望可以对有志研究黎曼猜想（包括应用）的学生、数论工作者、相关数学、物理学、计算机科学等领域的科学家有所帮助。
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