Zobrazeno 1 - 10
of 78 284
pro vyhledávání: '"A P Siegel"'
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
The inverse of the metric matrices on the Siegel-Jacobi upper half space ${\mathcal{X}}^J_n$, invariant to the restricted real Jacobi group $G^J_n(\mathbb{R})_0$ and extended Siegel-Jacobi $\tilde{{\mathcal{X}}}^J_n$ upper half space, invariant to th
Externí odkaz:
http://arxiv.org/abs/2407.04310
Autor:
Pollack, Aaron
Bruinier and Raum, building on work of Ibukiyama-Poor-Yuen, have studied a notion of ``formal Siegel modular forms". These objects are formal sums that have the symmetry properties of the Fourier expansion of a holomorphic Siegel modular form. These
Externí odkaz:
http://arxiv.org/abs/2408.16392
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
Autor:
Cooper, Simon
Given a reductive group, choice of maximal torus and Borel subgroup, and two subsets of the simple roots, one obtains a closed embedding of sub flag varieties. In this paper we compute the class of the sub flag variety in the Chow ring for the Siegel
Externí odkaz:
http://arxiv.org/abs/2409.14406
Autor:
Jaskari, Mikko, Sachpazis, Stelios
Let $k\geqslant 2$ be an integer and let $\lambda$ be the Liouville function. Given $k$ non-negative distinct integers $h_1,\ldots,h_k$, the Chowla conjecture claims that $\sum_{n\leqslant x}\lambda(n+h_1)\cdots\lambda(n+h_k)=o(x)$. An unconditional
Externí odkaz:
http://arxiv.org/abs/2409.10663