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

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Sums of powers of conjugates of algebraic numbers

Author: P. E. Blanksby
Journal: Proc. Amer. Math. Soc. 49 (1975), 28-32
MSC: Primary 10F30; Secondary 12A15
MathSciNet review: 0382180
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: This note is primarily concerned with algebraic numbers which have at least one conjugate with modulus exceeding one. Theorems which give lower bounds for the maximum of the moduli of the conjugates of such algebraic numbers are connected with equivalent theorems giving lower bounds for the sums of powers of the conjugates. The results relate to some earlier work of S. Chowla, and the method used depends on one of P. Turán's main theorems on lower bounds for sums of powers of complex numbers.

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 10F30, 12A15

Retrieve articles in all journals with MSC: 10F30, 12A15

Additional Information

PII: S 0002-9939(1975)0382180-5
Keywords: Algebraic numbers, conjugates
Article copyright: © Copyright 1975 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