Zobrazeno 1 - 10
of 1 300 112
pro vyhledávání: '"Siegel, A."'
Autor:
JAE-HYUN YANG1 jhyang8357@gmail.com
Publikováno v:
Kyungpook Mathematical Journal. Sep2024, Vol. 64 Issue 3, p407-416. 10p.
Autor:
Assing, Edgar
We prove new bounds for the Fourier coefficients of Jacobi forms using a method of Iwaniec. In view of the Fourier-Jacobi expansion of degree two Siegel modular forms, we can use these to obtain strong bounds on fundamental Fourier coefficients of Si
Externí odkaz:
http://arxiv.org/abs/2411.00450
We prove that cubic polynomial maps with a fixed Siegel disk and a critical orbit eventually landing inside that Siegel disk lie in the support of the bifurcation measure. This answers a question of Dujardin in positive. Our result implies the existe
Externí odkaz:
http://arxiv.org/abs/2410.20179
Under conjugation by affine transformations, the dynamical moduli space of cubic polynomials $f$ with a $2$-cycle of Siegel disks is parameterized by a three-punctured complex plane as a degree-$2$ cover. Assuming the rotation number of $f^2$ on the
Externí odkaz:
http://arxiv.org/abs/2410.16728
Autor:
Christensen, Mads Bjerge
We study generating series encoding linking numbers between geodesics in arithmetic hyperbolic $3$-folds. We show that the series converge to functions on the genus $2$ Siegel upper-half plane and that certain explicit modifications have the transfor
Externí odkaz:
http://arxiv.org/abs/2410.17231
We compute the asymptotic number of cylinders, weighted by their area to any non-negative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulas depend only on topological invariants of the cover and numbe
Externí odkaz:
http://arxiv.org/abs/2409.06600
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:
Cohen, Jonathan
Let $F$ be a non-archimedean local field of characteristic zero. If $F$ has even residual characteristic, we assume $F/\mathbb{Q}_2$ is unramified. Let $V$ be a depth zero, irreducible, nongeneric supercuspidal representation of $GSp(4, F)$. We calcu
Externí odkaz:
http://arxiv.org/abs/2411.04973
Autor:
Liu, Congwen, Si, Jiajia
In this paper we study the subspace of functions in Bloch space that vanish at $\bfi:=(0^{\prime},i)$ (denoted by $\widetilde{\calB}$) on the Siegel upper half-space of $\bbC^n$. We find that the functions in $\widetilde{\calB}$ possess the following
Externí odkaz:
http://arxiv.org/abs/2409.20402
We discuss the stabilization of multiple moduli by utilizing Siegel modular forms in the framework of $Sp(2g,\mathbb{Z})$ modular invariant theories. We derive the stationary conditions at CP-conserving fixed points for a generic modular- and CP-inva
Externí odkaz:
http://arxiv.org/abs/2409.19261