Geodesic
Asymptotic distribution of traces of singular moduli
Discrete analysis (2022)

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

arXiv
We determine the asymptotic behavior of twisted traces of singular moduli with a power-saving error term in both the discriminant and the order of the pole at $i\infty$. Using this asymptotic formula, we obtain an exact formula for these traces involving the class number and a finite sum involving the exponential function evaluated at CM points.
Publié le : 
Nickolas Andersen; William Duke. Asymptotic distribution of traces of singular moduli. Discrete analysis (2022). http://geodesic.mathdoc.fr/item/DAS_2022_a19/
@article{DAS_2022_a19,
     author = {Nickolas Andersen and William Duke},
     title = {Asymptotic distribution of traces of singular moduli},
     journal = {Discrete analysis},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DAS_2022_a19/}
}
TY  - JOUR
AU  - Nickolas Andersen
AU  - William Duke
TI  - Asymptotic distribution of traces of singular moduli
JO  - Discrete analysis
PY  - 2022
UR  - http://geodesic.mathdoc.fr/item/DAS_2022_a19/
LA  - en
ID  - DAS_2022_a19
ER  - 
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