Results 51 to 60 of about 260 (137)

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

Eisenstein series and automorphic representations

, 2015
We provide an introduction to the theory of Eisenstein series and automorphic forms on real simple Lie groups G, emphasising the role of representation theory. It is useful to take a slightly wider view and define all objects over the (rational) adeles A,
Kleinschmidt, Axel, Fleig, Philipp, Gustafsson, Henrik, Gustafsson, Henrik P. A., Persson, Daniel   +4 more
core   +2 more sources

Sign changes of Fourier coefficients of cusp forms and representations of integers by quadratic polynomials

, 2017
In this talk, we discuss an application of recent results involving sign changes of Fourier coefficients of cusp forms. In particular, we discuss their applications to the study of representations of integers by totally positive ternary quadratic ...
Kane, BR
core  

Study on automorphic forms, automorphic L functions and Shintani functions

, 2003
1.新谷関数(村瀬篤氏,加藤信一氏との共同研究) 分解型直交群のWhittaker-Shintani関数の明示公式の論文を完成した.一部は当研究開始以前に得られていたが,より包括的・統一的な結果となった. 2.3次ユニタリ群上の保型形式(村瀬篤氏との共同研究) (1)原始的テータ関数による正則Eisenstein級数の展開を与え,その展開係数の代数性を示した.
38, 30183841, 菅野, 孝史
core   +1 more source

On Whittaker--Fourier coefficients of automorphic forms on unitary groups: reduction to a local identity

, 2014
In honor of Jim Cogdell for his 60th ...
Lapid, Erez, Mao, Zhengyu
openaire   +2 more sources

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

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

Automorphic forms and string theory: Small automorphic representations and non-perturbative effects

, 2017
This compilation thesis stems from a project with the purpose of determining non-perturbative contributions to scattering amplitudes in string theory carrying important information about instantons, black hole quantum states and M-theory.
Gustafsson, Henrik, Gustafsson, Henrik P. A.   +1 more
core  

Hyperbolic band theory. [PDF]

Sci Adv, 2021
Maciejko J, Rayan S.
europepmc   +1 more source

On existence of generic cusp forms on semisimple algebraic groups

, 2018
In this paper we discuss the existence of certain classes of cuspidal automorphic representations having non-zero Fourier coefficients for a general semisimple algebraic group G defined over a number field k such that its Archimedean group G∞ is not ...
Muić, Goran, Moy, Allen
core   +1 more source

Pointwise monotonicity of heat kernels. [PDF]

Rev Mat Complut, 2023
Alonso-Orán D, Chamizo F, Martínez ÁD, Mas A.   +3 more
europepmc   +1 more source