Zobrazeno 1 - 10
of 56
pro vyhledávání: '"J. B. Conrey"'
Random matrix theory is an area of mathematics first developed by physicists interested in the energy levels of atomic nuclei, but it can also be used to describe some exotic phenomena in the number theory of elliptic curves. The purpose of this book
Autor:
M. A. Holmstrom, J. B. Conrey
Publikováno v:
Experimental Mathematics. 30:447-452
Let Qa(z) be the set of z-smooth numbers of the form q2+a. It is not obvious, but this is a finite set. The cardinality can be quite large; for example, |Q1(1900)|≥646890. We have a remarkably simp...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2fb8348e27e66f59b72b20e738544d46
https://doi.org/10.1080/10586458.2018.1559775
https://doi.org/10.1080/10586458.2018.1559775
Autor:
J. B. Conrey, Nina C Snaith
Publikováno v:
Communications in Mathematical Physics. 330:639-653
In this paper we examine n-correlation for either the eigenvalues of a unitary group of random matrices or for the zeros of a unitary family of L-functions in the important situation when the correlations are detected via test functions whose Fourier
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3341cd1579638ef4fdebe60b145bd6bc
https://doi.org/10.1007/s00220-014-1969-1
https://doi.org/10.1007/s00220-014-1969-1
Publikováno v:
Experimental Mathematics. 22:195-202
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d6b0e00ee449573bf83c3040f9c40995
https://doi.org/10.1080/10586458.2013.768483
https://doi.org/10.1080/10586458.2013.768483
Publikováno v:
Geometric and Functional Analysis. 22:1257-1288
We prove a formula, with power savings, for the sixth moment of Dirichlet L- functions averaged over all primitive characters χ (mod q) with q ≤ Q, and over the critical line. Our formula agrees precisely with predictions motivated by random matri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::33dc87700ffc7682d5d6c9d061a626f0
https://doi.org/10.1007/s00039-012-0191-6
https://doi.org/10.1007/s00039-012-0191-6
Publikováno v:
International Mathematics Research Notices. 2013:4758-4771
We show that all but five of the zeros of the period polynomial associated to a Hecke cusp form are on the unit circle.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cabfd57ddab7584e791b9175daf753c2
https://doi.org/10.1093/imrn/rns183
https://doi.org/10.1093/imrn/rns183
Publikováno v:
Acta Arithmetica. 155:353-371
We use the asymptotic large sieve, developed by the authors, to prove that if the Generalized Riemann Hypothesis is true, then there exist many Dirichlet L-functions that have a pair of consecutive zeros closer together than 0.37 times their average
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cd1c3b27f9dd5843af8ee6e1b31314d5
https://doi.org/10.4064/aa155-4-2
https://doi.org/10.4064/aa155-4-2
Publikováno v:
Journal of Number Theory. 128(6):1516-1554
We describe an algorithm for obtaining explicit expressions for lower terms for the conjectured full asymptotics of the moments of the Riemann zeta function, and give two distinct methods for obtaining numerical values of these coefficients. We also
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::142f0a8666d66302c7be924ad7286bd0
Autor:
Nina C Snaith, J. B. Conrey
Publikováno v:
Communications in Number Theory and Physics. 2:477-536
Interest in comparing the statistics of the zeros of the Riemann zeta function with random matrix theory dates back to the 1970s and the work of Montgomery and Dyson. Twelve years ago Rudnick and Sarnak and, independently, Bogomolny and Keating showe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1b6d9d4ea99777da59f4000248f78b0c
https://doi.org/10.4310/cntp.2008.v2.n3.a1
https://doi.org/10.4310/cntp.2008.v2.n3.a1