Results 61 to 70 of about 16,023 (137)

Bounds on Fourier coefficients and global sup‐norms for Siegel cusp forms of degree 2

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract Let F$F$ be an L2$L^2$‐normalized Siegel cusp form for Sp4(Z)${\rm Sp}_4({\mathbb {Z}})$ of weight k$k$ that is a Hecke eigenform and not a Saito–Kurokawa lift. Assuming the generalized Riemann hypothesis, we prove that its Fourier coefficients satisfy the bound |a(F,S)|≪εk1/4+ε(4π)kΓ(k)c(S)−12det(S)k−12+ε$|a(F,S)| \ll _\epsilon \frac{k^{1/4 ...
Félicien Comtat, Jolanta Marzec‐Ballesteros, Abhishek Saha   +2 more
wiley   +1 more source

Unicity Results Concerning of difference monomials of L-function and a meromorphic function

Ratio Mathematica
In this paper, we study the value distribution of $\mathcal{L}$-function in the extend Selberg class and a non-constant transcendental meromorphic $\mathsf{f}$ function with finitely many zeros of finite order, sharing a polynomial with its difference ...
Harina Waghamore P, Roopa M.
doaj   +1 more source

Modular knots, automorphic forms, and the Rademacher symbols for triangle groups. [PDF]

Res Math Sci, 2023
Matsusaka T, Ueki J.
europepmc   +1 more source

Landscape–Geochemical Assessment of Content of Potentially Toxic Trace Elements in Arctic Soils

Soil Systems
The importance of research to assess the impact of potentially toxic trace elements (PTEs) on the environment and the importance of environmental monitoring, taking into account the natural variability of soil properties, shaped the aim of our study: to ...
Evgeny Lodygin, Ivan Alekseev, Boris Nesterov   +2 more
doaj   +1 more source

Wheeler-DeWitt wavefunctions for 5d BKL dynamics, automorphic L-functions and complex primon gases

Journal of High Energy Physics
The near-singularity BKL dynamics of five dimensional gravity and supergravity (and also an extended four-dimensional supergravity) is known to be given by the billiard problem of a particle within a fundamental domain of the Bianchi groups PSL(2, 𝒪 ...
Marine De Clerck, Sean A. Hartnoll, Ming Yang   +2 more
doaj   +1 more source

Certain L²-Norms on Automorphic Representations of SL(2, $\mathbb{R}$)

Axioms
Let Γ be a non-uniform lattice in SL(2,R). In this paper, we study various L2-norms of automorphic representations of SL(2,R). We bound these norms with intrinsic norms defined on the representation.
Hongyu He
doaj   +1 more source

Density of automorphic points in deformation rings of polarized global Galois representations

, 2018
Conjecturally, the Galois representations that are attached to essentially selfdual regular algebraic cuspidal automorphic representations are Zariski-dense in a polarized Galois deformation ring.
Hellmann, Eugen, Margerin, Christophe M., Schraen, Benjamin   +2 more
core  

Unlikely intersections on the p-adic formal ball. [PDF]

Res Number Theory, 2023
Serban V.
europepmc   +1 more source

Kabirian-based optinalysis: A conceptually grounded framework for symmetry/asymmetry, similarity/dissimilarity and identity/unidentity estimations in mathematical structures and biological sequences. [PDF]

MethodsX, 2023
Abdullahi KB.
europepmc   +1 more source

Modularity of PGL₂(𝔽p)-representations over totally real fields. [PDF]

Proc Natl Acad Sci U S A, 2021
Allen PB, Khare CB, Thorne JA.
europepmc   +1 more source