Geodesic
Stieltjes interlacing of the zeros of $j_n$
Canadian mathematical bulletin, Tome 65 (2022) no. 4, pp. 976-993

Voir la notice de l'article provenant de la source Cambridge

DOI

Let $j_n$ be the modular function obtained by applying the nth Hecke operator on the classical j-invariant. For $n>m\ge 2$, we prove that between any two zeros of $j_m$ on the unit circle of the fundamental domain, there is a zero of $j_n$.
DOI : 10.4153/S0008439522000054
Mots-clés : j-invariant, zeros of jn, Stieltjes interlacing 
Frendreiss, William; Gao, Jennifer; Lei, Austin; Woodall, Amy; Xue, Hui; Zhu, Daozhou. Stieltjes interlacing of the zeros of $j_n$. Canadian mathematical bulletin, Tome 65 (2022) no. 4, pp. 976-993. doi: 10.4153/S0008439522000054
@article{10_4153_S0008439522000054,
     author = {Frendreiss, William and Gao, Jennifer and Lei, Austin and Woodall, Amy and Xue, Hui and Zhu, Daozhou},
     title = {Stieltjes interlacing of the zeros of $j_n$},
     journal = {Canadian mathematical bulletin},
     pages = {976--993},
     year = {2022},
     volume = {65},
     number = {4},
     doi = {10.4153/S0008439522000054},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439522000054/}
}
TY  - JOUR
AU  - Frendreiss, William
AU  - Gao, Jennifer
AU  - Lei, Austin
AU  - Woodall, Amy
AU  - Xue, Hui
AU  - Zhu, Daozhou
TI  - Stieltjes interlacing of the zeros of $j_n$
JO  - Canadian mathematical bulletin
PY  - 2022
SP  - 976
EP  - 993
VL  - 65
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008439522000054/
DO  - 10.4153/S0008439522000054
ID  - 10_4153_S0008439522000054
ER  - 
%0 Journal Article
%A Frendreiss, William
%A Gao, Jennifer
%A Lei, Austin
%A Woodall, Amy
%A Xue, Hui
%A Zhu, Daozhou
%T Stieltjes interlacing of the zeros of $j_n$
%J Canadian mathematical bulletin
%D 2022
%P 976-993
%V 65
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008439522000054/
%R 10.4153/S0008439522000054
%F 10_4153_S0008439522000054

Cité par Sources :