Cover Image

Moments of characteristic polynomials and their derivatives for $SO(2N)$ and $USp(2N)$ and their application to one-level density in families of elliptic curve $L$-functions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Cooper, I. A., Snaith, N. C.
Format:	Preprint
Published:	2024
Subjects:	Mathematical Physics Number Theory 11M50 (Primary) 60B20 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A naive p-adic height on the Jacobians of curves of genus 2
by: Trip, Manoy T.
Published: (2023)

Arithmetic constants for symplectic variances of the divisor function
by: Kuperberg, Vivian, et al.
Published: (2024)

Multiplication Tables for Integers with Restricted Prime Factors
by: Schlitt, Jeremy
Published: (2026)

Unbounded average Selmer ranks of elliptic curves in torsion families
by: Phillips, Tristan
Published: (2025)

Analytic Properties of an Orthogonal Fourier-Jacobi Dirichlet Series
by: Psyroukis, Rafail
Published: (2024)

Periods modulo $p$ of integer sequences associated with division polynomials of genus $2$ curves
by: Ishitsuka, Yasuhiro, et al.
Published: (2023)

Isomorphism between Jacobi forms of index $D_{2n+1}$ and elliptic modular forms of level $2$
by: Hayashida, Shuichi
Published: (2025)

Moments of generalized fractional polynomial processes
by: Assefa, Johannes, et al.
Published: (2025)

Explicit Formulas for the Casimir Eigenvalues of $SL(n,\mathbb{Z})$-Maass Forms
by: Muthuvel, Vishal
Published: (2026)

New and old Saito-Kurokawa lifts classically via $L^2$ norms and bounds on their supnorms: level aspect
by: Anamby, Pramath, et al.
Published: (2024)

Regulators and derivatives of Vologodsky functions with respect to log(p)
by: Besser, Amnon
Published: (2025)

Linear Combinations of Logarithms of $L$-functions over Function Fields at Microscopic Shifts and Beyond
by: Çiçek, Fatma, et al.
Published: (2025)

Period patterns, entry points, and orders in the Lucas sequences: theory and applications
by: Fiebig, Morgan, et al.
Published: (2024)

One-level densities in families of Grössencharakters associated to CM elliptic curves
by: David, Chantal, et al.
Published: (2024)

Construction of Jacobi forms using adjoint of Jacobi-Serre derivative
by: Charan, Mrityunjoy, et al.
Published: (2024)

Large deviations for values of $L$-functions attached to cusp forms in the level aspect
by: Mine, Masahiro
Published: (2021)

Pullbacks of Saito-Kurokawa lifts of square-free levels, their non-vanishing and the $L^2$-mass
by: Anamby, Pramath, et al.
Published: (2025)

Irreducibility and Galois groups of random reciprocal polynomials of large degree
by: Hokken, David, et al.
Published: (2025)

The shape of quadratic Gauss paths
by: Dell, Justine, et al.
Published: (2025)

On the Density of Low Lying Zeros of a Large Family of Automorphic $L$-functions
by: Cheek, Timothy, et al.
Published: (2024)

Moment formulas of Siegel transforms with congruence conditions in dimension 2
by: Han, Jiyoung, et al.
Published: (2025)

Non-vanishing of Artin $L$-functions associated with $D_4$-quartic function fields ordered by conductor
by: Ahlquist, Victor
Published: (2025)

A short remark on the $\ell$-torsion part of class groups
by: Widmer, Martin
Published: (2026)

Cyclotomic Congruences and Lucas Sequences
by: Ross, Tyler, et al.
Published: (2025)

The fourth known primitive solution to $a^5 + b^5 + c^5 + d^5 = e^5$
by: Braun, Jeffrey
Published: (2026)

On the trajectories of a particle in a translation invariant involutive field
by: Cobeli, Cristian, et al.
Published: (2024)

On integrality and asymptotic behavior of the $(k, l)$-Göbel sequences
by: Gima, Hibiki, et al.
Published: (2024)

Rank one elliptic curves and rank stability
by: Zywina, David
Published: (2025)

$L_q$ norms and Mahler measure of Fekete polynomials
by: Klurman, Oleksiy, et al.
Published: (2023)

Generalized triple product $p$-adic $L$-functions and rational points on elliptic curves
by: Marannino, Luca
Published: (2023)

On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function
by: Simm, Nick, et al.
Published: (2024)

The bimodal distribution in the derivative of unitary polynomials
by: Farmer, David W.
Published: (2025)

On the counting function of cubic function fields
by: Ahlquist, Victor
Published: (2025)

Gross lattices of supersingular elliptic curves
by: He, Chenfeng, et al.
Published: (2025)

Spectral Moment Formulae for $GL(3)\times GL(2)$ $L$-functions III: The Twisted Case
by: Kwan, Chung-Hang
Published: (2023)

On the probability of n equidistant points in high-dimensional lattices
by: Gerdjikov, Stefan, et al.
Published: (2025)

Explicit Burgess inequalities for cubefree moduli
by: Hasanalizade, Elchin, et al.
Published: (2025)

Improved Upper Bound on Brun's Constant Under GRH
by: Dunn, Lachlan
Published: (2025)

The joint distribution of binary and ternary digits sums
by: Drmota, Michael, et al.
Published: (2025)

Moments in the exact summation of the curious series of Kempner type
by: Burnol, Jean-François
Published: (2024)