Zobrazeno 1 - 10
of 653
pro vyhledávání: '"11F55"'
Autor:
Murase, Atsushi, Narita, Hiro-aki
We investigate the theta correspondence of cusp forms for the dual pair $(O^*(4),{\mathrm Sp}(1,1))$ originally introduced by Tsuneo Arakawa in the non-adelic setting. We call this Arakawa lifting. In this paper, reformulating the theta correspondenc
Externí odkaz:
http://arxiv.org/abs/2412.11570
Autor:
Psyroukis, Rafail
We investigate the analytic properties of a Dirichlet series involving the Fourier-Jacobi coefficients of two cusp forms for orthogonal groups of signature $(2,n+2)$. Using an orthogonal Eisenstein series of Klingen type, we obtain an integral repres
Externí odkaz:
http://arxiv.org/abs/2411.15956
We determine explicit generators for the ring of modular forms associated with the moduli spaces of K3 surfaces with automorphism group $(\mathbb{Z}/2\mathbb{Z})^2$ and of Picard rank 13 and higher. The K3 surfaces in question carry a canonical Jacob
Externí odkaz:
http://arxiv.org/abs/2411.05970
Autor:
Zhang, Xiaoyu
Let $G$ be a definite special orthogonal group over a totally real number field $F$. The work of Arthur associates Galois representations to automorphic representations of $G(\mathbb{A}_F)$ under certain conditions. In this article, we apply the meth
Externí odkaz:
http://arxiv.org/abs/2411.04897
Autor:
Iudica, Francesco
The Kudla lift studied in this article is a classical version for Picard modular forms of the automorphic theta lift between $\text{GU}(2)$ and $\text{GU}(3)$. We construct an explicit $p$-adic analytic family of Picard modular forms varying with res
Externí odkaz:
http://arxiv.org/abs/2410.19992
Autor:
Ma, Shouhei
We give a geometric interpretation of the Siegel operators for holomorphic differential forms on Siegel modular varieties. This involves extension of the differential forms over a toroidal compactification, and we show that the Siegel operator essent
Externí odkaz:
http://arxiv.org/abs/2409.04315
Autor:
Marcil, David
We construct a $p$-adic $L$-function for $P$-ordinary Hida families of cuspidal automorphic representations on a unitary group $G$. The main new idea of our work is to incorporate the theory of Schneider-Zink types for the Levi quotient of $P$, to al
Externí odkaz:
http://arxiv.org/abs/2409.03783
Autor:
Psyroukis, Rafail
In this paper, we investigate a Dirichlet series involving the Fourier$-$Jacobi coefficients of two cusp forms $F,G$ for orthogonal groups of signature $(2,n+2)$. In the case when $F$ is a Hecke eigenform and $G$ is a Maass lift of a specific Poincar
Externí odkaz:
http://arxiv.org/abs/2407.18663
Autor:
Shan, Yi
Up to isomorphism, there is a unique connected semisimple algebraic group over $\mathbb{Q}$ of Lie type $\mathrm{F}_{4}$, with compact real points and split over $\mathbb{Q}_{p}$ for all primes $p$. Let $\mathbf{F}_{4}$ be such a group. In this paper
Externí odkaz:
http://arxiv.org/abs/2407.05859
We compute analogues of twisted traces of CM values of harmonic modular functions on hyperbolic $3$-space and show that they are essentially given by Fourier coefficients of the $j$-invariant. From this we deduce that the twisted traces of these harm
Externí odkaz:
http://arxiv.org/abs/2407.01368