Secondary terms in the asymptotics of moments of $L$-functions

DOI10.1016/j.jnt.2023.04.010zbMath1527.11067arXiv2008.13297OpenAlexW3082605861MaRDI QIDQ6111200

Publication date: 3 August 2023

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.13297

zbMATH Keywords

moments $L$-functions root systems Weyl group multiple Dirichlet series Kac-Moody Lie algebras

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) (zeta (s)) and (L(s, chi)) (11M06) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (1)

Moments of quadratic Dirichlet $L$-functions over function fields

Cites Work

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Conjectures for the integral moments and ratios of $L$-functions over function fields
On Iwahori-Whittaker functions for metaplectic groups
Weyl group multiple Dirichlet series, Eisenstein series and crystal bases
A representation theory approach to integral moments of $L$-functions over function fields
The second moment of quadratic twists of modular $L$-functions
Root systems of hyperbolic type
On the third moment of $L(\frac{1}{2}, \chi_d)$. I: The rational function field case
Nonvanishing of quadratic Dirichlet $L$-functions at $s=\frac{1}{2}$
Lower order terms for the moments of symplectic and orthogonal families of $L$-functions
The third moment of quadratic Dirichlet $L$-functions
On the third moment of $L(\frac{1}{2},\chi_d)$. II: The number field case
The fourth moment of quadratic Dirichlet $L$-functions
Cohomology of local systems on the moduli of principally polarized abelian surfaces
The second and third moment of $L(1/2,\chi)$ in the hyperelliptic ensemble
The fourth moment of quadratic Dirichlet $L$-functions over function fields
Endoscopy for $\mathrm{GSp}(4)$ and the cohomology of Siegel modular threefolds
On the cubic moment of quadratic Dirichlet $L$-functions
Weyl group multiple Dirichlet series. II: The stable case
Metaplectic covers of Kac-Moody groups and Whittaker functions
The metaplectic Casselman-Shalika formula
Moments of zeta functions associated to hyperelliptic curves over finite fields
On finite Morse index solutions of higher order fractional Lane-Emden equations
Weyl Group Multiple Dirichlet Series
Lie Algebra Multiplicities
On the Mean Value of L(1/2, χ ) FW Real Characters
Multiple Dirichlet Series and Moments of Zeta and L-Functions
Improving the Error Term in the Mean Value of in the Hyperelliptic Ensemble
A metaplectic Casselman-Shalika formula for GL<sub xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><i>r</i></sub>
Conjectures and Experiments Concerning the Moments ofL(1/2, χ_d)
Integral moments of L-functions
Affine Weyl Group Multiple Dirichlet Series: Type $\tilde{A}$
Random matrix theory and $\zeta(1/2+it)$.

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Secondary terms in the asymptotics of moments of \(L\)-functions