Zobrazeno 1 - 10
of 200
pro vyhledávání: '"Choie, Youngju"'
Publikováno v:
Comptes Rendus. Mathématique, Vol 359, Iss 4, Pp 505-521 (2021)
This work is devoted to the algebraic and arithmetic properties of Rankin–Cohen brackets allowing to define and study them in several natural situations of number theory. It focuses on the property of these brackets to be formal deformations of the
Externí odkaz:
https://doaj.org/article/c15cb4e5dd3a44199675ee36e1337305
For vector-valued Maass cusp forms for~$SL_2(\mathbb{Z})$ with real weight~$k\in\mathbb{R}$ and spectral parameter $s\in\mathbb{C}$, $\mathrm{Re} s\in (0,1)$, $s\not\equiv \pm k/2$ mod $1$, we propose a notion of vector-valued period functions, and w
Externí odkaz:
http://arxiv.org/abs/2408.03104
We generalize the linear relation formula between the square of normalized Hecke eigenforms of weight $k$ and normalized Hecke eigenforms of weight $2k$, to Rankin-Cohen brackets of general degree. As an ingredient of the proof, we also generalize a
Externí odkaz:
http://arxiv.org/abs/2405.16745
Autor:
Blakestad, Clifford, Choie, YoungJu
We introduce an infinite family of Kronecker series twisted by characters. As an application, we give a closed formula for the sum of all Hecke eigenforms on ${\Gamma}_0(N) $ multiplied by their twisted period polynomials in terms of the product of t
Externí odkaz:
http://arxiv.org/abs/2404.06016
Autor:
Choie, YoungJu, Kumar, Rahul
In this article, we undertake the study of the function $\mathscr{F}(x;u,v)$, which we refer to as the Herglotz-Zagier-Novikov function. This function appears in Novikov's work on the Kronecker limit formula, which was motivated by Zagier's paper whe
Externí odkaz:
http://arxiv.org/abs/2309.10634
Autor:
Choie, YoungJu, Getz, Jayce R.
The first author and Bump defined Schubert Eisenstein series by restricting the summation in a degenerate Eisenstein series to a particular Schubert variety. In the case of $\mathrm{GL}_3$ over $\mathbb{Q}$ they proved that these Schubert Eisenstein
Externí odkaz:
http://arxiv.org/abs/2107.01874
Autor:
Choie, YoungJu
Generalizing a result of \cite{Z1991, CPZ} about elliptic modular forms, we give a closed formula for the sum of all Hilbert Hecke eigenforms over a totally real number field with strict class number $1$, multiplied by their period polynomials, as a
Externí odkaz:
http://arxiv.org/abs/2101.06357
A generalized Riemann hypothesis states that all zeros of the completed Hecke $L$-function $L^*(f,s)$ of a normalized Hecke eigenform $f$ on the full modular group should lie on the vertical line $Re(s)=\frac{k}{2}.$ It was shown by Kohnen that there
Externí odkaz:
http://arxiv.org/abs/2002.00096