Semantic Scholar Open Access 2012 39 sitasi

Large values of modular forms

Nicolas Templier

Abstrak

We show that there are primitive holomorphic modular forms f of weight two and arbitrary large level N such that $|f(z)| \gg N^{1/4}$ for some point z. Thereby we disprove a folklore conjecture that the sup-norm of such forms would be as small as $N^{o(1)}$.

Topik & Kata Kunci

Penulis (1)

N

Nicolas Templier

Format Sitasi

Templier, N. (2012). Large values of modular forms. https://doi.org/10.4310/CJM.2014.V2.N1.A3

Akses Cepat

Lihat di Sumber doi.org/10.4310/CJM.2014.V2.N1.A3
Informasi Jurnal
Tahun Terbit
2012
Bahasa
en
Total Sitasi
39×
Sumber Database
Semantic Scholar
DOI
10.4310/CJM.2014.V2.N1.A3
Akses
Open Access ✓