Hilbert’s tenth problem for rational function fields in characteristic $2$

Hilbert's Tenth Problem for Rational Function Fields in Characteristic 2

Proceedings of the American Mathematical Society ◽

10.2307/2160192 ◽

1994 ◽

Vol 120 (1) ◽

pp. 249 ◽

Cited By ~ 5

Author(s):

Carlos R. Videla

Keyword(s):

Rational Function ◽

Function Fields ◽

Hilbert's Tenth Problem ◽

Hilbert’s tenth problem for algebraic function fields of characteristic 2

Pacific Journal of Mathematics ◽

10.2140/pjm.2003.210.261 ◽

2003 ◽

Vol 210 (2) ◽

pp. 261-281 ◽

Cited By ~ 8

Author(s):

Kirsten Eisenträger

Keyword(s):

Function Fields ◽

Algebraic Function ◽

Hilbert's Tenth Problem ◽

Algebraic Function Fields ◽

Hilbert’s Tenth Problem for function fields of varieties over algebraically closed fields of positive characteristic

Monatshefte für Mathematik ◽

10.1007/s00605-011-0364-7 ◽

2011 ◽

Vol 168 (1) ◽

pp. 1-16

Author(s):

Kirsten Eisenträger

Keyword(s):

Positive Characteristic ◽

Function Fields ◽

Hilbert's Tenth Problem ◽

Closed Fields ◽

Algebraically Closed Fields

Quadratic forms over rational function fields in characteristic 2

Pacific Journal of Mathematics ◽

10.2140/pjm.2006.228.19 ◽

2006 ◽

Vol 228 (1) ◽

pp. 19-51 ◽

Cited By ~ 1

Author(s):

Roberto Aravire ◽

Bill Jacob

Keyword(s):

Rational Function ◽

Quadratic Forms ◽

Function Fields ◽

Hilbert's Tenth Problem for function fields of varieties over number fields and p-adic fields

Journal of Algebra ◽

10.1016/j.jalgebra.2006.09.032 ◽

2007 ◽

Vol 310 (2) ◽

pp. 775-792 ◽

Cited By ~ 4

Author(s):

Kirsten Eisenträger

Keyword(s):

Function Fields ◽

Number Fields ◽

Hilbert's Tenth Problem ◽

Hilbert’S Tenth Problem

Elliptic curves and Hilbert’s tenth problem for algebraic function fields over real andp-adic fields

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.2005.2005.587.77 ◽

2005 ◽

Vol 2005 (587) ◽

pp. 77-143 ◽

Cited By ~ 5

Author(s):

Laurent Moret-Bailly

Keyword(s):

Elliptic Curves ◽

Function Fields ◽

Algebraic Function ◽

Hilbert's Tenth Problem ◽

Algebraic Function Fields

Hilbert's Tenth Problem for function fields of characteristic zero

Model Theory with Applications to Algebra and Analysis ◽

10.1017/cbo9780511735219.008 ◽

2010 ◽

pp. 237-254

Author(s):

Kirsten Eisenträger

Keyword(s):

Characteristic Zero ◽

Function Fields ◽

Hilbert's Tenth Problem ◽

Hilbert’S Tenth Problem

Hilbert's Tenth Problem over function fields of positive characteristic not containing the algebraic closure of a finite field

Journal of the European Mathematical Society ◽

10.4171/jems/714 ◽

2017 ◽

Vol 19 (7) ◽

pp. 2103-2138

Author(s):

Kirsten Eisenträger ◽

Alexandra Shlapentokh

Keyword(s):

Finite Field ◽

Positive Characteristic ◽

Function Fields ◽

Algebraic Closure ◽

Hilbert's Tenth Problem ◽

Hilbert’S Tenth Problem

Hilbert’s Tenth Problem for algebraic function fields over infinite fields of constants of positive characteristic

Pacific Journal of Mathematics ◽

10.2140/pjm.2000.193.463 ◽

2000 ◽

Vol 193 (2) ◽

pp. 463-500 ◽

Cited By ~ 10

Author(s):

Alexandra Shlapentokh

Keyword(s):

Positive Characteristic ◽

Function Fields ◽

Algebraic Function ◽

Hilbert's Tenth Problem ◽

Algebraic Function Fields

Hilbert's Tenth Problem

ACM SIGACT News ◽

10.1145/3471469.3471476 ◽

2021 ◽

Vol 52 (2) ◽

pp. 36-44

Author(s):

William Gasarch

Keyword(s):

Short Version ◽

Hilbert's Tenth Problem ◽

Complete History

This column is a short version of a long version of an article based on a blog. What? I give the complete history.