Traces of singular values and Borcherds products
| dc.creator | Kim, Chang Heon | |
| dc.date | 2003-05-13 | |
| dc.date | 2003-05-14 | |
| dc.date.accessioned | 2026-07-07T04:57:58Z | |
| dc.date.available | 2026-07-07T04:57:58Z | |
| dc.description | Let $p$ be a prime for which the congruence group $Γ_0(p)^*$ is of genus zero, and $j_p^*$ be the corresponding Hauptmodul. Let $f$ be a nearly holomorphic modular form of weight 1/2 on $Γ_0(4p)$ which satisfies some congruence condition on its Fourier coefficients. We interpret $f$ as a vector valued modular form. Applying Borcherds lifting of vector valued modular forms we construct infinite products associated to $j_p^*$ and extend Zagier's trace formula for singular values of $j_p^*$. Further we investigate the twisted traces of sigular values of $j_p^*$ and construct Borcherds products related to them. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/math/0305183 | |
| dc.identifier | http://arxiv.org/abs/math/0305183 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67450 | |
| dc.subject | Number Theory | |
| dc.subject | Primary 11F03, 11F30; Secondary 11F22, 11F37, 11F50 | |
| dc.title | Traces of singular values and Borcherds products | |
| dc.type | text |