Journal ArticleDOI
Mean values of L-functions and symmetry
J. B. Conrey,David W. Farmer +1 more
Reads0
Chats0
About:
This article is published in International Mathematics Research Notices.The article was published on 2000-01-01. It has received 110 citations till now. The article focuses on the topics: One-dimensional symmetry group & Tetrahedral symmetry.read more
Citations
More filters
Journal ArticleDOI
Integral moments of L-functions
TL;DR: In this article, the authors give a new heuristic for all of the main terms in the integral moments of various families of primitive $L$-functions and show that these moments can be modelled using Random Matrix Theory.
Posted Content
Integral moments of L-functions
TL;DR: In this paper, the authors give a new heuristic for all of the main terms in the integral moments of various primitive L-functions, including the leading order terms, and show that they can be modeled using Random Matrix Theory.
Book ChapterDOI
Perspectives on the Analytic Theory of L-Functions
Henryk Iwaniec,Peter Sarnak +1 more
TL;DR: In this paper, the authors introduce L-functions and describe the central problems connected with them, as well as some problems that can be resolved by finessing these conjectures.
Journal ArticleDOI
Autocorrelation of ratios of $L$-functions
TL;DR: In this article, a new heuristic for all of the main terms in the quotient of products of L-functions averaged over a family is given. But the conjectures generalize the recent conjectures for mean values of L -functions.
Journal ArticleDOI
Multiple Dirichlet series and moments of zeta and L-functions
TL;DR: In this article, an analytic theory of Dirichlet series in several complex variables which possess sufficiently many functional equations was developed, and the current best known error term for mean values of cubes of central values of L-series was derived.
References
More filters
Journal ArticleDOI
Contributions to the theory of the riemann zeta-function and the theory of the distribution of primes
G. H. Hardy,J. E. Littlewood +1 more
Journal ArticleDOI
Zeroes of zeta functions and symmetry
Nicholas M. Katz,Peter Sarnak +1 more
TL;DR: The spectral interpretation of the zeroes of the Riemann Zeta function has been studied in this paper, where the eigenvalues of Frobenius on cohomology are used.
Journal ArticleDOI
The large sieve
TL;DR: In this paper, an integer quadratic optimization model was proposed to determine the optimal decision for a supplier selection problem, where the decision is the optimal product volume that has to be purchased from each supplier so that the total cost is minimum and the constraints are satisfied.
Journal ArticleDOI
Demography of Cirsium vulgare in a grazing experiment.
TL;DR: The complete demographies of 16 populations of Cirsium vulgare were followed in a replicated experiment as discussed by the authors, which was a factorial combination of two intensities of sheep grazing in each of three seasons.