arXiv Analytics

Sign in

arXiv:1002.3754 [math.NT]AbstractReferencesReviewsResources

Artin's Conjecture on Zeros of $p$-Adic Forms

D. R. Heath-Brown

Published 2010-02-19Version 1

This is an exposition of work on Artin's Conjecture on the zeros of $p$-adic forms. A variety of lines of attack are described, going back to 1945. However there is particular emphasis on recent developments concerning quartic forms on the one hand, and systems of quadratic forms on the other.

Comments: Submitted for publication as part of ICM 2010
Categories: math.NT
Subjects: 11D88
Related articles: Most relevant | Search more
arXiv:1204.1938 [math.NT] (Published 2012-04-09)
Heights and quadratic forms: on Cassels' theorem and its generalizations
arXiv:1512.06003 [math.NT] (Published 2015-12-18)
Systems of quadratic forms
arXiv:2006.15683 [math.NT] (Published 2020-06-28)
Finite Planes, Zigzag Sequences, Fibonacci Numbers, Artin's Conjecture and Trinomials

Links

Toolbox