Geodesic
A family of weakly holomorphic modular forms for $\Gamma _0(2)$ with all zeros on a certain geodesic
SoYoung Choi1 ; Bo-Hae Im2
1Department of Mathematics Education and RINS Gyeongsang National University 501 Jinjudae-ro Jinju, 52828, South Korea
2Department of Mathematical Sciences KAIST 291 Daehak-ro, Yuseong-gu Daejeon, 34141, South Korea
Acta Arithmetica, Tome 190 (2019) no. 1, pp. 57-74
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We prove that certain infinitely many weakly holomorphic modular forms for $\Gamma_0(2)$ have all zeros on a part of a certain geodesic but not on the boundary of the fundamental domain $\mathfrak{F}$ of $\Gamma_0 (2)$, and prove that the zeros of one of these forms interlace with the zeros of another form.
DOI : 10.4064/aa171017-15-8
Keywords: prove certain infinitely many weakly holomorphic modular forms gamma have zeros part certain geodesic boundary fundamental domain mathfrak gamma prove zeros these forms interlace zeros another form

SoYoung Choi  1   ; Bo-Hae Im  2

1 Department of Mathematics Education and RINS Gyeongsang National University 501 Jinjudae-ro Jinju, 52828, South Korea
2 Department of Mathematical Sciences KAIST 291 Daehak-ro, Yuseong-gu Daejeon, 34141, South Korea 
@article{10_4064_aa171017_15_8,
     author = {SoYoung Choi and Bo-Hae Im},
     title = {A family of weakly holomorphic modular forms for $\Gamma _0(2)$ with all zeros on a certain geodesic},
     journal = {Acta Arithmetica},
     pages = {57--74},
     year = {2019},
     volume = {190},
     number = {1},
     doi = {10.4064/aa171017-15-8},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa171017-15-8/}
}
TY  - JOUR
AU  - SoYoung Choi
AU  - Bo-Hae Im
TI  - A family of weakly holomorphic modular forms for $\Gamma _0(2)$ with all zeros on a certain geodesic
JO  - Acta Arithmetica
PY  - 2019
SP  - 57
EP  - 74
VL  - 190
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa171017-15-8/
DO  - 10.4064/aa171017-15-8
LA  - en
ID  - 10_4064_aa171017_15_8
ER  - 
%0 Journal Article
%A SoYoung Choi
%A Bo-Hae Im
%T A family of weakly holomorphic modular forms for $\Gamma _0(2)$ with all zeros on a certain geodesic
%J Acta Arithmetica
%D 2019
%P 57-74
%V 190
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/aa171017-15-8/
%R 10.4064/aa171017-15-8
%G en
%F 10_4064_aa171017_15_8
SoYoung Choi; Bo-Hae Im. A family of weakly holomorphic modular forms for $\Gamma _0(2)$ with all zeros on a certain geodesic. Acta Arithmetica, Tome 190 (2019) no. 1, pp. 57-74. doi: 10.4064/aa171017-15-8

Cité par Sources :