Abstract
We study the sup-norm bound (both individually and on average) for Eisenstein series on certain arithmetic hyperbolic orbifolds producing sharp exponents for the modular surface and Picard 3-fold. The methods involve bounds for Epstein zeta functions, and counting restricted values of indefinite quadratic forms at integer points.
| Original language | American English |
|---|---|
| Pages (from-to) | 2083-2098 |
| Number of pages | 16 |
| Journal | International Journal of Number Theory |
| Volume | 20 |
| Issue number | 8 |
| DOIs | |
| State | Published - Sep 1 2024 |
| Externally published | Yes |
ASJC Scopus subject areas
- Algebra and Number Theory
Keywords
- Eisenstein series
- Epstein zeta function
- Sup norms