Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)


A counterexample to a conjecture of Mahler on best $ p$-adic Diophantine approximation constants

Author: Alice A. Deanin
Journal: Math. Comp. 45 (1985), 621-632
MSC: Primary 11J61
MathSciNet review: 804950
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In 1940, Mahler proposed a conjecture regarding the value of best P-adic Diophantine approximation constants. In this paper, a computational technique which tests the conjecture for any particular P is described. A computer search verified the conjecture for all $ P \leqslant 101$, except 83. The case P = 83 is discussed. A counterexample is given.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 11J61

Retrieve articles in all journals with MSC: 11J61

Additional Information

PII: S 0025-5718(1985)0804950-3
Article copyright: © Copyright 1985 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia