Let M be a nonconstant polynomial in the polynomial ring R T =F q [T ] over the finite field F q . We show that the universal ordinary punctured distribution on 1 M R T ÂR T is a free abelian group and determine its rank. We also compute the torsion subgroups of the universal ordinary punctured even
The Brun–Titchmarsh Theorem in Function Fields
✍ Scribed by Chih-Nung Hsu
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 150 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
✦ Synopsis
We establish a large sieve inequality for algebraic function fields. Using this inequality, a version of the Brun Titchmarsh Theorem for these algebraic function fields and their Hilbert class fields is obtained.
1999 Academic Press k i=1 n i deg P i .
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