๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Equidistribution over function fields

โœ Scribed by Walter Gubler


Publisher
Springer
Year
2008
Tongue
English
Weight
325 KB
Volume
127
Category
Article
ISSN
0025-2611

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Fermat Quotients over Function Fields
โœ Jim Sauerberg; Linghsueh Shu ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 234 KB

If P is an irreducible element of a polynomial ring over a finite field, then one can define a Fermat quotient function associated to P. This is the direct analog of the traditional Fermat quotient function defined over the rational numbers using Fermat's ''little'' theorem. This paper provides answ

Weak approximation over function fields
โœ Brendan Hassett; Yuri Tschinkel ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Springer-Verlag ๐ŸŒ English โš– 362 KB
Diophantine Undecidability over Algebrai
โœ Alexandra Shlapentokh ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 825 KB

We show that Diophantine problem (otherwise known as Hilbert's Tenth Problem) is undecidable over the fields of algebraic functions over the finite fields of constants of characteristic greater than two. This is the first example of Diophantine undecidability over any algebraic field. We also show t

Selberg Zeta Functions over Function Fie
โœ Hirofumi Nagoshi ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 236 KB

We compute explicitly the Selberg trace formula for principal congruence subgroups of PGL(2, F q [t]) which is the modular group in positive characteristic cases. We also express the Selberg zeta function as a determinant of the Laplacian which is composed of both discrete and continuous spectra. Al