Kurlberg, P. and Rudnick, Z. (1999) The distribution of spacings between quadratic residues. Duke Jour. of Math. 100, 211-242. Home/Search Document Details and Download
Summary Related Articles Check |
This paper is cited in the following contexts:
The N-Point Correlations Between Values of a Linear Form - Marklof (1998) (Correct)
....is) spacings. It should be pointed out that the R n (s; N) are obviously not probability densities, but contain the complete information to determine (through some combinatorial sieving) statistical measures such as the spacing distribution between nearest (or next to nearest etc. neighbours, see [20, 13, 15] for details. Put furthermore R n (B; N) Z B R n (S; N) dS (1.4) where B is some bounded domain in R n Gamma1 ; this represents the number of (n Gamma1) tuple spacings ( j 1 Gamma j 2 ; j 2 Gamma j 3 ; j n Gamma1 Gamma jn ) in B. We will refer to R n (B; N) as the n point ....
.... results on sequences, which behave more generic in the sense that their correlation functions converge, e.g. to those of iudrvs (such as values at integers of polynomials of degree greater than one) or to those of random matrix ensembles (such as the zeros of zeta functions) see for instance [13, 15, 18, 25, 26, 28, 36, 37] and the surveys [4, 29, 30] Acknowledgments. I thank E. Bogomolny, O. Bohigas, M. Kontsevitch, Z. Rudnick and Y.M. Suhov for helpful discussions. 2 Results Our main results are as follows (compare Theorems 3.2 3.4, 3.10, 3.15 3.17) The correlation function R n (B; N) has in general no ....
P. Kurlberg and Z. Rudnick, The distribution of spacings between quadratic residues, preprint, Tel Aviv Univ. 1998.
The Distribution of Spacings between Quadratic Residues, II - Kurlberg (1998) (2 citations) Self-citation (Kurlberg) (Correct)
....DISTRIBUTION OF SPACINGS BETWEEN QUADRATIC RESIDUES, II P AR KURLBERG Abstract. We study the distribution of spacings between squares in Z=QZ as the number of prime divisors of Q tends to in nity. In [3] Kurlberg and Rudnick proved that the spacing distribution for square free Q is Poissonian, this paper extends the result to arbitrary Q. 1. Introduction This paper studies the distribution of spacings between squares in Z=QZ as (Q) the number of prime divisors of Q, tends to in nity. In [3] ....
....In [3] Kurlberg and Rudnick proved that the spacing distribution for square free Q is Poissonian, this paper extends the result to arbitrary Q. 1. Introduction This paper studies the distribution of spacings between squares in Z=QZ as (Q) the number of prime divisors of Q, tends to in nity. In [3] Kurlberg and Rudnick proved that the spacing distribution for square free Q is Poissonian, i.e. the same as for a sequence of independent uniformly distributed real numbers in the unit interval. The purpose of this paper is to extend the result to arbitrary Q. The spacing distribution is de ....
[Article contains additional citation context not shown here]
P. Kurlberg, Z. Rudnick, The distribution of spacings between quadratic residues, submitted for publication.
Random Suffix Search Trees - Devroye, Neininger (2003) (Correct)
No context found.
Kurlberg, P. and Rudnick, Z. (1999) The distribution of spacings between quadratic residues. Duke Jour. of Math. 100, 211-242.
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC