Results 61 to 70 of about 230 (160)

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

Quadratic Forms and Automorphic Forms [PDF]

, 2013
These notes give a friendly four-part introduction to various aspects of the arithmetic and analytic theories of quadratic forms, aimed at a graduate-level audience. The main themes discussed are: geometry and local-global methods, theta functions and Siegel’s theorem, Clifford algebras and spin groups, and adelic theta liftings via the Weil ...
openaire   +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

Automorphic forms for Schottky groups

Advances in Mathematics, 1975
Publisher Summary The chapter discusses a (revised and expanded) version of a lecture delivered at the Los Alamos Workshop on Mathematics in June 1974 under the title A Glimpse into Complex Analysis. It discusses automorphic forms for Schottky groups.
openaire   +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

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