Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Snaith, N C"'
Autor:
Cooper, I. A., Snaith, N. C.
Using the ratios theorems, we calculate the leading order terms in $N$ for the following averages of the characteristic polynomial and its derivative: $\left< \left|\Lambda_A(1 )\right| ^{r} \frac{ \Lambda_A'(\mathrm{e}^{\mathrm{i} \phi}) }{ \Lambda_
Externí odkaz:
http://arxiv.org/abs/2409.02024
Autor:
Day, Huw, Snaith, N C
We consider eukaryotic DNA replication and in particular the role of replication origins in this process. We focus on origins which are `active' - that is, trigger themselves in the process before being read by the replication forks of other origins.
Externí odkaz:
http://arxiv.org/abs/2209.09680
Autor:
Mason, A. M., Snaith, N. C.
In this paper we apply to the zeros of families of $L$-functions with orthogonal or symplectic symmetry the method that Conrey and Snaith used to calculate the $n$-correlation of the zeros of the Riemann zeta function. This method uses the Ratios Con
Externí odkaz:
http://arxiv.org/abs/1509.05250
Autor:
Conrey, J. B., Snaith, N. C.
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 Fou
Externí odkaz:
http://arxiv.org/abs/1212.5537
Autor:
Conrey, J. B., Snaith, N. C.
The family of symmetric powers of an $L$-function associated with an elliptic curve with complex multiplication has received much attention from algebraic, automorphic and p-adic points of view. Here we examine one explicit such family from the persp
Externí odkaz:
http://arxiv.org/abs/1212.2681
It is believed that, in the limit as the conductor tends to infinity, correlations between the zeros of elliptic curve $L$-functions averaged within families follow the distribution laws of the eigenvalues of random matrices drawn from the orthogonal
Externí odkaz:
http://arxiv.org/abs/0811.2304
Autor:
Conrey, J. B., Snaith, N. C.
We present a new approach to obtaining the lower order terms for $n$-correlation of the zeros of the Riemann zeta function. Our approach is based on the `ratios conjecture' of Conrey, Farmer, and Zirnbauer. Assuming the ratios conjecture we prove a f
Externí odkaz:
http://arxiv.org/abs/0803.2795
Autor:
Conrey, J. B., Snaith, N. C.
We use the conjecture of Conrey, Farmer and Zirnbauer for averages of ratios of the Riemann zeta function to calculate all the lower order terms of the triple correlation function of the Riemann zeros. A previous approach was suggested in 1996 by Bog
Externí odkaz:
http://arxiv.org/abs/math/0610495
We prove that a Dirichlet series with a functional equation and Euler product of a particular form can only arise from a holomorphic cusp form on the Hecke congruence group $\Gamma_0(13)$. The proof does not assume a functional equation for the twist
Externí odkaz:
http://arxiv.org/abs/math/0601549
Autor:
Conrey, J. B., Snaith, N. C.
Publikováno v:
Proc. Lon. Math. Soc., Volume 93, No 3, 2007, pages 594--646
In upcoming papers by Conrey, Farmer and Zirnbauer there appear conjectural formulas for averages, over a family, of ratios of products of shifted L-functions. In this paper we will present various applications of these ratios conjectures to a wide v
Externí odkaz:
http://arxiv.org/abs/math/0509480