On the distribution of spacings between zeros of the zeta function

Etude numerique de la distribution des espacements des zeros de la fonction zeta de Riemann. Observation de certains phenomenes inatendus

[1]  Arnold Schönhage,et al.  Fast algorithms for multiple evaluations of the riemann zeta function , 1988 .

[2]  D. R. Heath-Brown,et al.  The Theory of the Riemann Zeta-Function , 1987 .

[3]  Hugh L. Montgomery,et al.  Pair Correlation of Zeros and Primes in Short Intervals , 1987 .

[4]  M. V. Berry,et al.  Riemann''s zeta function: A model for quantum chaos? Quantum Chaos and Statistical Nuclear Physics ( , 1986 .

[5]  M. Berry,et al.  Semiclassical theory of spectral rigidity , 1985, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[6]  Pandey,et al.  Higher-order correlations in spectra of complex systems. , 1985, Physical review letters.

[7]  D. R. Heath-Brown,et al.  ON THE DISTRIBUTION OF GAPS BETWEEN ZEROS OF THE ZETA-FUNCTION , 1985 .

[8]  Aleksandar Ivic,et al.  The theory of the Riemann Zeta - Function with applications , 1985 .

[9]  P. Gallagher.  Pair correlation of zeros of the zeta function. , 1985 .

[10]  Oriol Bohigas,et al.  Spectral properties of the Laplacian and random matrix theories , 1984 .

[11]  D. R. Heath-Brown,et al.  A note on the differences between consecutive primes , 1984 .

[12]  J. V. deLune,et al.  Rigorous high speed separation of zeros of Riemann's zeta function , 1984 .

[13]  Peter J. Bickel,et al.  S: An Interactive Environment for Data Analysis and Graphics , 1984 .

[14]  O. Bohigas,et al.  Characterization of chaotic quantum spectra and universality of level fluctuation laws , 1984 .

[15]  J. S. Dehesa,et al.  Mathematical and Computational Methods in Nuclear Physics , 1984 .

[16]  O. Bohigas,et al.  Chaotic motion and random matrix theories , 1984 .

[17]  A. Odlyzko,et al.  Disproof of the Mertens conjecture. , 1984 .

[18]  On the Riemann zeta-function—Mean value theorems and the distribution of |S(T)| , 1983 .

[19]  M. Gutzwiller.  Stochastic behavior in quantum scattering , 1983 .

[20]  Beat Kleiner,et al.  Graphical Methods for Data Analysis , 1983 .

[21]  van de,et al.  Some observations concerning the zero-curves of the real and imaginary parts of Riemann's zeta function , 1983 .

[22]  Richard P. Brent,et al.  On the zeros of the Riemann zeta function in the critical strip III , 1985 .

[23]  O. Bohigas,et al.  Fluctuation properties of nuclear energy levels: Do theory and experiment agree? , 1982 .

[24]  Gaps between primes, and the pair correlation of zeros of the zeta-function , 1982 .

[25]  Akio Fujii.  On the Zeros of Dirichlet L-functions (II) , 2003 .

[26]  W. S. Brown.  A Simple but Realistic Model of Floating-Point Computation , 1981, TOMS.

[27]  D. Freedman,et al.  On the histogram as a density estimator:L2 theory , 1981 .

[28]  Akio Fujii.  On the Zeros of Dirichlet L-Functions.II (With Corrections to Ön the Zeros of Dirichlet L-Functions.I" and the Subsequent Papers) , 1981 .

[29]  P. A. Mello,et al.  Random matrix physics: Spectrum and strength fluctuations , 1981 .

[30]  Norm L. Schryer,et al.  A Test of a Computer's Floating-Point Arithmetic Unit , 1981 .

[31]  Richard P. Brent,et al.  On the zeros of the Riemann zeta function in the critical strip , 1979 .

[32]  A. Weil,et al.  Sur les “formules explicites” de la théorie des nombres premiers , 1979 .

[33]  P. Gallagher,et al.  Primes and zeros in short intervals. , 1978 .

[34]  On the uniformity of the distribution of the zeros of the Riemann zeta function. , 1978 .

[35]  H. Montgomery.  Extreme values of the Riemann zeta function , 1977 .

[36]  Richard P. Brent,et al.  High Precision Coefficients Related to the Zeta Function. , 1977 .

[37]  P. Gallagher,et al.  On the distribution of primes in short intervals , 1976 .

[38]  Van Buren.  A Fortran Computer Program for Calculating the Linear Prolate Functions. , 1976 .

[39]  R. Brent.  Table errata: Algorithms for minimization without derivatives (Prentice-Hall, Englewood Cliffs, N. J., 1973) , 1975 .

[40]  D. Anderson,et al.  Algorithms for minimization without derivatives , 1974 .

[41]  Akio Fujii.  On the zeros of Dirichlet $L$-functions. I , 1974 .

[42]  M. Mehta,et al.  Asymptotic behavior of spacing distributions for the eigenvalues of random matrices , 1973 .

[43]  M. Mehta,et al.  Some Asymptotic Expressions for Prolate Spheroidal Functions and for the Eigenvalues of Differential and Integral Equations of Which They Are Solutions , 1972 .

[44]  M. Deuring,et al.  Asymptotische Entwicklungen der DirichletschenL-Reihen , 1967 .

[45]  C. Siegel,et al.  Über Riemanns Nachlaß zur analytischen Zahlentheorie , 1966 .

[46]  Maurice Vincent Wilkes,et al.  An approximate functional equation for Dirichlet L-functions , 1965, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[47]  C. Porter.  Statistical Theories of Spectra: Fluctuations , 1965 .

[48]  F. Dyson.  Statistical Theory of the Energy Levels of Complex Systems. I , 1962 .

[49]  F. V. Atkinson,et al.  The Riemann zeta-function , 1950 .

[50]  A. Guinand.  A Summation Formula in the Theory of Prime Numbers , 1948 .

[51]  Maurice G. Kendall,et al.  The advanced theory of statistics , 1945 .

[52]  A. Turing.  A method for the calculation of the zeta-function Universal Turing Machine , 2011 .

[53]  B. Jessen,et al.  On the Distribution of the Values of the Riemann Zeta Function , 1936 .

[54]  J. Littlewood,et al.  Contributions to the theory of the riemann zeta-function and the theory of the distribution of primes , 1916 .

[55]  Edmund Landau.  Über die Nullstellen der Zetafunktion , 1912 .