Abstract
A problem of ERDÖS to determine cm=sup{1/n Σai: n!/Πi! ε ℕ, ai≥m} is treated by linear programming. Also the similar problems using Lnn! resp. (n)q! instead of n! leading to cLm resp. c (q)m are considered and the asymptotic behaviour of cm and cLm is determined.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Literatur
ERDÖS P., Problem 85–6*. The Mathematical Intelligencer 7(1985), p 35.
BARON G., Solution of Problem 85–6*. The Mathematical Intelligencer 8(1986), pp 42–43.
RADEMACHER M., Lectures on Elementary Number Theory, Blaisdale Publ.Comp. (1964).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Springer-Verlag
About this chapter
Cite this chapter
Baron, G. (1987). Ein Lineares Programm In Der Zahlentheorie. In: Hlawka, E. (eds) Zahlentheoretische Analysis II. Lecture Notes in Mathematics, vol 1262. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078591
Download citation
DOI: https://doi.org/10.1007/BFb0078591
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18015-9
Online ISBN: 978-3-540-47256-8
eBook Packages: Springer Book Archive
