arXiv
Open Access
2006
Interpolation of numbers of Catalan type in a local field of positive characteristic
Greg W. Anderson
Abstrak
Let $k$ be a local field of positive characteristic. Let $L$ be a cocompact discrete subgroup of $k$. Let $U$ be an open compact subgroup of $k$. Let $\ell$, $u$ and $a$ be elements of $k$, with $a$ nonzero. We study the behavior of the product $\prod_{0\neq x\in (\ell+L)\cap a(u+U)}x$ as $a$ varies. Our main result, which blends harmonic analysis and local class field theory, provides local confirmation of a conjecture concerning global function fields recently made by the author (math.NT/0407535).
Topik & Kata Kunci
Penulis (1)
G
Greg W. Anderson
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2006
- Bahasa
- en
- Sumber Database
- arXiv
- Akses
- Open Access ✓