15 citations · 55 across the 11 of their papers we have counts for
13 papers · 1 filter
Extending the unconditional support in an Iwaniec-Luo-Sarnak family
Lucile Devin, Daniel Fiorilli, Anders Södergren
We study the harmonically weighted one-level density of low-lying zeros of -functions in the family of holomorpic newforms of fixed even weight and prime level tending t…
Central values of zeta functions of non-Galois cubic fields
Arul Shankar, Anders Södergren, Nicolas Templier
The Dedekind zeta functions of infinitely many non-Galois cubic fields have negative central values.
Omega results for cubic field counts via lower-order terms in the one-level density
Peter J. Cho, Daniel Fiorilli, Yoonbok Lee +1
In this paper we obtain a precise formula for the -level density of -functions attached to non-Galois cubic Dedekind zeta functions. We find a secondary term which is unique…
Low-lying zeros in families of holomorphic cusp forms: the weight aspect
Lucile Devin, Daniel Fiorilli, Anders Södergren
We study low-lying zeros of -functions attached to holomorphic cusp forms of level and large weight. In this family, the Katz--Sarnak heuristic with orthogonal symmetry type…
On the generalized circle problem for a random lattice in large dimension
Andreas Strömbergsson, Anders Södergren
In this note we study the error term R_{n,L}(x) in the generalized circle problem for a ball of volume x and a random lattice L of large dimension n. Our main result is the followi…
Low-lying zeros of quadratic Dirichlet -functions: Lower order terms for extended support
Daniel Fiorilli, James Parks, Anders Södergren
We study the -level density of low-lying zeros of Dirichlet -functions attached to real primitive characters of conductor at most . Under the Generalized Riemann Hypothesi…
On the universality of the Epstein zeta function
Johan Andersson, Anders Södergren
We study universality properties of the Epstein zeta function for lattices of large dimension and suitable regions of complex numbers . Our main result is tha…
Sato-Tate equidistribution of certain families of Artin L-functions
Arul Shankar, Anders Södergren, Nicolas Templier
We study various families of Artin -functions attached to geometric parametrizations of number fields. In each case we find the Sato-Tate measure of the family and determine the…
Angles in hyperbolic lattices : The pair correlation density
Morten S. Risager, Anders Södergren
It is well known that the angles in a lattice acting on hyperbolic -space become equidistributed. In this paper we determine a formula for the pair correlation density for angle…
Low-lying zeros of elliptic curve L-functions: Beyond the ratios conjecture
Daniel Fiorilli, James Parks, Anders Södergren
We study the low-lying zeros of L-functions attached to quadratic twists of a given elliptic curve E defined over . We are primarily interested in the family of all twis…
On the location of the zero-free half-plane of a random Epstein zeta function
Andreas Strömbergsson, Anders Södergren
In this note we study, for a random lattice L of large dimension n, the supremum of the real parts of the zeros of the Epstein zeta function E_n(L,s) and prove that this random var…
On the distribution of angles between the N shortest vectors in a random lattice
Anders Södergren
We determine the joint distribution of the lengths of, and angles between, the N shortest lattice vectors in a random n-dimensional lattice as n tends to infinity. Moreover we inte…
On the Poisson distribution of lengths of lattice vectors in a random lattice
Anders Södergren
We prove that the volumes determined by the lengths of the non-zero vectors $\pm\vecx$ in a random lattice L of covolume 1 define a stochastic process that, as the dimension n tend…