Results 71 to 80 of about 2,560,834 (159)

Automorphic Forms and the Theta Correspondence [PDF]

, 2023
This is a set of notes on automorphic forms and theta correspondence, based on my lectures at the 2022 Arizona Winter ...
Gan, Wee Teck
core   +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

Toroidal automorphic forms for some function fields [PDF]

, 2009
Zagier introduced toroidal automorphic forms to study the zeros of zeta functions: an automorphic form on GL2 is toroidal if all its right translates integrate to zero over all non-split tori in GL2, and an Eisenstein series is toroidal if its weight is ...
Cornelissen, Gunther, Lorscheid, Oliver
core   +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

An holomorphic study of Smarandache automorphic and cross inverse property loops [PDF]

, 2008
By studying the holomorphic structure of automorphic inverse property uasigroups and loops[AIPQ and (AIPL)] and cross inverse property quasigroups and loops[CIPQ and (CIPL)], it is established that the holomorph of a loop is a Smarandache; AIPL, CIPL, K ...
Gbolahan, Temitoe, Temitope Gbolahan Jaiyeola   +1 more
core   +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

Perturbation theory from automorphic forms

, 2010
Using our previous construction of Eisenstein-like automorphic forms we derive formulae for the perturbative and non-perturbative parts for any group and representation.
West, Peter, Lambert, Neil; id_orcid
core   +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

Mixed automorphic forms, torus bundles, and Jacobi forms

, 2004
This volume deals with various topics around equivariant holomorphic maps of Hermitian symmetric domains and is intended for specialists in number theory and algebraic geometry.
Lee, Min Ho
core   +2 more sources