Zobrazeno 1 - 10
of 1 316 409
pro vyhledávání: '"A, 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
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:
JAE-HYUN YANG1 jhyang8357@gmail.com
Publikováno v:
Kyungpook Mathematical Journal. Sep2024, Vol. 64 Issue 3, p407-416. 10p.
Autor:
Bruinier, Jan Hendrik1 (AUTHOR), Raum, Martin2 (AUTHOR)
Publikováno v:
Transactions of the American Mathematical Society, Series B. 12/4/2024, Vol. 11, p1394-1434. 41p.
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:
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