Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Jin Seokho"'
Autor:
Jin Seokho, Park Ho
Publikováno v:
Open Mathematics, Vol 22, Iss 1, Pp 256-152 (2024)
In this article, we compute binomial convolution sums of divisor functions associated with the Dirichlet character modulo 8, which is the remaining primitive Dirichlet character modulo powers of 2 yet to be considered. To do this, we provide an expli
Externí odkaz:
https://doaj.org/article/c3c68cd5bf134bbcaf8225575468bdd9
Recently, Ono and the third author discovered that the reciprocals of the theta series $(q;q)_\infty^3$ and $(q^2;q^2)_\infty(q;q^2)_\infty^2$ have infinitely many closed formulas in terms of MacMahon's quasimodular forms $A_k(q)$ and $C_k(q)$. In th
Externí odkaz:
http://arxiv.org/abs/2407.04798
Autor:
Jin, Seokho, Lim, Subong
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 August 2024 536(1)
Autor:
Jin, Seokho, Jo, Sihun
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 May 2025 545(1)
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 July 2023 523(2)
The period polynomial $r_f(z)$ for an even weight $k\geq 4$ newform $f\in S_k(\Gamma_0(N))$ is the generating function for the critical values of $L(f,s)$. It has a functional equation relating $r_f(z)$ to $r_f\left(-\frac{1}{Nz}\right)$. We prove th
Externí odkaz:
http://arxiv.org/abs/1601.03114
Suppose that $O_L$ is the ring of integers of a number field $L$, and suppose that $f(z)=\sum_{n=1}^\infty a_f(n)q^n\in S_k\cap O_L[[q]]$ (note: $q := e^{2\pi iz}$) is a normalized Hecke eigenform for $\mathrm{SL}_2(\mathbb{Z})$. We say that $f$ is n
Externí odkaz:
http://arxiv.org/abs/1511.06725
Autor:
Choie, Youngju, Jin, Seokho
A Hecke action on the space of periods of cusp forms, which is compatible with that on the space of cusp forms, was first computed using continued fraction and an explicit algebraic formula of Hecke operators acting on the space of period functions o
Externí odkaz:
http://arxiv.org/abs/1302.2189