Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Anders Södergren"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 7 (2019)
We study various families of Artin $L$-functions attached to geometric parametrizations of number fields. In each case we find the Sato–Tate measure of the family and determine the symmetry type of the distribution of the low-lying zeros.
Externí odkaz:
https://doaj.org/article/b1e91ec2868b4d11964000083dca7520
Publikováno v:
Proceedings of the American Mathematical Society. 149:509-523
In this paper, we consider the family {Lj(s)}∞j=1 of L-functions associated to an orthonormal basis {uj}∞j=1 of even Hecke-Maass forms for the modular group SL(2,Z) with eigenvalues {λj = κ2j + 1/4}∞j=1. We prove the following effective non-v
Autor:
Johan Andersson, Anders Södergren
Publikováno v:
Andersson, J & Södergren, C A 2020, ' On the universality of the Epstein zeta function ', Commentarii Mathematici Helvetici, vol. 95, no. 1, pp. 183–209 . https://doi.org/10.4171/CMH/485
We study universality properties of the Epstein zeta function $E_n(L,s)$ for lattices $L$ of large dimension $n$ and suitable regions of complex numbers $s$. Our main result is that, as $n\to\infty$, $E_n(L,s)$ is universal in the right half of the c
Publikováno v:
Forum of Mathematics, Sigma. 10
In this paper we obtain a precise formula for the $1$-level density of $L$-functions attached to non-Galois cubic Dedekind zeta functions. We find a secondary term which is unique to this context, in the sense that no lower-order term of this shape h
Autor:
Patrick Meisner, Anders Södergren
We investigate the low-lying zeros in families of $L$-functions attached to quadratic and cubic twists of elliptic curves defined over $\mathbb{F}_q(T)$. In particular, we present precise expressions for the expected values of traces of high powers o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::533727160e8e00344ff0c08146c78b96
http://arxiv.org/abs/2110.00102
http://arxiv.org/abs/2110.00102
We study the $1$-level density of low-lying zeros of quadratic Dirichlet $L$-functions by applying the $L$-functions Ratios Conjecture. We observe a transition in the main term as was predicted by the Katz-Sarnak heuristic as well as in the lower ord
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::99b7f24c6ddaac2a42b739f70c648100
https://hal.archives-ouvertes.fr/hal-02569185
https://hal.archives-ouvertes.fr/hal-02569185
We study low-lying zeros of $L$-functions attached to holomorphic cusp forms of level $1$ and large weight. In this family, the Katz--Sarnak heuristic with orthogonal symmetry type was established in the work of Iwaniec, Luo and Sarnak for test funct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b8518abe926d79b67a8501c31f9a2853
https://hal.archives-ouvertes.fr/hal-02567793
https://hal.archives-ouvertes.fr/hal-02567793
Publikováno v:
Mathematische Annalen. 371:1191-1227
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 variable has a limit distribution, which we give explicitly. This limit d
Publikováno v:
Forum of Mathematics, Sigma. 7
We study various families of Artin$L$-functions attached to geometric parametrizations of number fields. In each case we find the Sato–Tate measure of the family and determine the symmetry type of the distribution of the low-lying zeros.
Publikováno v:
Compositio Mathematica
Compositio Mathematica, Foundation Compositio Mathematica, 2017, 153 (6), pp.1196-1216. ⟨10.1112/S0010437X17007059⟩
Compositio Mathematica, Foundation Compositio Mathematica, 2017, 153 (6), pp.1196-1216. ⟨10.1112/S0010437X17007059⟩
We study the $1$-level density of low-lying zeros of Dirichlet $L$-functions attached to real primitive characters of conductor at most $X$. Under the Generalized Riemann Hypothesis, we give an asymptotic expansion of this quantity in descending powe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a73b60a323642bcc72e040c18ce7837
https://hal.archives-ouvertes.fr/hal-02567758
https://hal.archives-ouvertes.fr/hal-02567758