๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Diophantine Undecidability of Function Fields of Characteristic Greater than 2, Finitely Generated over Fields Algebraic over a Finite Field

โœ Scribed by Alexandra Shlapentokh

Book ID
110345011
Publisher
Cambridge University Press
Year
2002
Tongue
English
Weight
217 KB
Volume
132
Category
Article
ISSN
0010-437X

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Diophantine Undecidability over Algebrai
Diophantine Undecidability over Algebraic Function Fields over Finite Fields of Constants
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

Partial Zeta Functions of Algebraic Vari
Partial Zeta Functions of Algebraic Varieties over Finite Fields
โœ Daqing Wan ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 147 KB

## DEDICATED TO PROFESSOR CHAO KO ON THE OCCASION OF HIS 90TH BIRTHDAY Motivated by arithmetic applications, we introduce the notion of a partial zeta function which generalizes the classical zeta function of an algebraic variety de"ned over a "nite "eld. We then explain two approaches to the gene

Generalized inverses of matrices over a
Generalized inverses of matrices over a finite field
โœ John D. Fulton ๐Ÿ“‚ Article ๐Ÿ“… 1978 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 657 KB

For a given m X n matrix A of rank I ov+r a finite field F, the number of generalized invers:s, of reflexive generalized inverses, of normalized generalized inverses, and of pseudoinverses of A are derermined by elementary methods. The more dticult problem of determining which m X n matrices A of ra