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)


Numbers having $ m$ small $ m$th roots mod $ p$

Author: Raphael M. Robinson
Journal: Math. Comp. 61 (1993), 393-413
MSC: Primary 11A07; Secondary 11A15, 11L10, 11R18
MathSciNet review: 1189522
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Here are two typical results about the numbers mentioned in the title: If p is a prime such that $ p \equiv 1 \pmod 6$ and $ p > 67$, then there are exactly six numbers $ \bmod\;p$, each of which has six sixth roots less than $ 2\sqrt {3p} $ in absolute value. If p is a prime such that $ p \equiv 1 \pmod 8$, then there is at least one number $ \bmod\;p$ which has eight eighth roots less than $ {p^{3/4}}$ in absolute value.

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

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 11A07, 11A15, 11L10, 11R18

Retrieve articles in all journals with MSC: 11A07, 11A15, 11L10, 11R18

Additional Information

PII: S 0025-5718(1993)1189522-0
Article copyright: © Copyright 1993 American Mathematical Society