We test the predictions of (a weakened version of) the L‐functions Ratios conjecture for the
family of cuspidal newforms of weight k and level N, with either k fixed and N→∞ through …

In this paper we apply to the zeros of families of $ L $-functions with orthogonal or symplectic
symmetry the method that Conrey and Snaith (Correlations of eigenvalues and Riemann …

The Katz-Sarnak density conjecture states that, in the limit as the conductors tend to infinity,
the behavior of normalized zeros near the central point of families of L-functions agree with …

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 …

We study low-lying zeros of L-functions attached to holomorphic cusp forms of level 1 and
large even weight. In this family, the Katz–Sarnak heuristic with orthogonal symmetry type …

We study the low-lying zeros of a family of $ L $-functions attached to the CM elliptic curves
$ E_d\;:\; y^ 2= x^ 3-dx $, for each odd and square-free integer $ d $. Writing the $ L …

We propose a random-matrix model for families of elliptic curve L-functions of finite
conductor. A repulsion of the critical zeros of these L-functions away from the centre of the …

We calculate the one-level density of thin subfamilies of a family of Hecke cuspforms formed
by twisting the forms in a smaller family by a character. The result gives support up to 1 …

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In this paper, we study lower-order terms of the one-level density of low-lying zeros of
quadratic Hecke L-functions in the Gaussian field. Assuming the generalized Riemann …