Results 1 to 10 of about 244 (36)
An orthogonality relation for $\mathrm {GL}(4, \mathbb R) $ (with an appendix by Bingrong Huang)
Forum of Mathematics, Sigma, 2021 Orthogonality is a fundamental theme in representation theory and Fourier analysis. An orthogonality relation for characters of finite abelian groups (now recognized as an orthogonality relation on $\mathrm {GL}(1)$) was used by Dirichlet to prove ...
Dorian Goldfeld +2 more
doaj +1 more source
Geometry and Arithmetic on the Siegel-Jacobi Space [PDF]
, 2017 The Siegel–Jacobi space is a non-symmetric homogeneous space which is very important geometrically and arithmetically. In this paper, we discuss the theory of the geometry and the arithmetic of the Siegel–Jacobi space. Mathematics Subject Classification (
Jae-Hyun Yang
semanticscholar +1 more source
Moduli spaces of irreducible symplectic manifolds [PDF]
, 2008 We study the moduli spaces of polarised irreducible symplectic manifolds. By a comparison with locally symmetric varieties of orthogonal type of dimension 20, we show that the moduli space of polarised deformation K3 manifolds with polarisation of degree
V.Gritsenko, K.Hulek, G.K.Sankaran
semanticscholar +1 more source
Automorphic functions for a Kleinian group [PDF]
, 2009 In the paper ‘Automorphic functions for a Whitehead-complement group’ [5], Matsumoto, Nishi and Yoshida constructed automorphic functions on real 3‐dimensional hyperbolic space for a Kleinian group called the Whitehead-link-complement group.
Masaaki Yoshida
semanticscholar +1 more source
PERIODIC TWISTS OF $\operatorname{GL}_{3}$-AUTOMORPHIC FORMS
Forum of Mathematics, Sigma, 2020 We prove that sums of length about $q^{3/2}$ of Hecke eigenvalues of automorphic forms on $\operatorname{SL}_{3}(\mathbf{Z})$ do not correlate with $q$-periodic functions with bounded Fourier transform.
EMMANUEL KOWALSKI +3 more
doaj +1 more source
$p$-ADIC $L$-FUNCTIONS FOR UNITARY GROUPS
Forum of Mathematics, Pi, 2020 This paper completes the construction of $p$-adic $L$-functions for unitary groups. More precisely, in Harris, Li and Skinner [‘$p$-adic $L$-functions for unitary Shimura varieties. I. Construction of the Eisenstein measure’, Doc. Math.Extra Vol. (2006),
ELLEN EISCHEN +3 more
doaj +1 more source
Differential and Functional Identities for the Elliptic Trilogarithm [PDF]
, 2009 When written in terms of $\vartheta$-functions, the classical Frobenius-Stickelberger pseudo-addition formula takes a very simple form. Generalizations of this functional identity are studied, where the functions involved are derivatives (including ...
Strachan, Ian A. B.
core +4 more sources
Period integrals and Rankin-Selberg L-functions on GL(n) [PDF]
, 2011 We compute the second moment of a certain family of Rankin-Selberg $L$-functions L(f x g, 1/2) where f and g are Hecke-Maass cusp forms on GL(n). Our bound is as strong as the Lindel\"of hypothesis on average, and recovers individually the convexity ...
Blomer, Valentin
core +2 more sources
Logarithmic deformations of the rational superpotential/Landau-Ginzburg construction of solutions of the WDVV equations [PDF]
, 2008 The superpotential in the Landau-Ginzburg construction of solutions to the Witten-Dijkgraaf-Verlinde-Verlinde (or WDVV) equations is modified to include logarithmic terms.
B. Dubrovin +16 more
core +2 more sources
Lifting of Modular Forms [PDF]
, 2019 The existence and construction of vector-valued modular forms (vvmf) for any arbitrary Fuchsian group $\mathrm{G}$, for any representation $\rho:\mathrm{G} \longrightarrow \mathrm{GL}_{d}(\mathbb{C})$ of finite image can be established by lifting scalar ...
Bajpai, Jitendra
core +4 more sources