Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-23T05:08:48.945Z Has data issue: false hasContentIssue false
  • English
  • Français

On some diophantine problems involving powers and factorials

Part of: Diophantine equations

Published online by Cambridge University Press:  09 April 2009

B. Brindza  and
P. Erdös
P. Erdös
Affiliation:
Mathematical Institute Kossuth Lajos University4010 Debrecen Hungary
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper the power values of the sum of factorials and a special diophantine problem related to the Ramanujan-Nagell equation are studied. The proofs are based on deep analytic results and Baker's method.

MSC classification

Secondary: 11D61: Exponential equations
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 51 , Issue 1 , August 1991 , pp. 1 - 7
Copyright
Copyright © Australian Mathematical Society 1991

References

[1]Györy, K., ‘Solutions of linear diophantine equations’, Algebraic Integers of Bounded Norm, Ann. Univ. Scien. Budapest 22 (1980), 225–233.Google Scholar
[2]Motohashi, Y., Lectures on sieve methods and prime number theory, Springer, Berlin, 1989.Google Scholar
[3]Mignotte, M. and Waldschmidt, M., ‘Linear forms in two logarithms and Schneider's Method (II)’, to appear.Google Scholar
[4]Philippon, P. and Waldschmidt, M., ‘Lower bounds for linear forms in logarithms’, New Advances in Transcendence Theory, ed. Baker, A., Cambridge Univ. Press, 1988, pp. 280–313.CrossRefGoogle Scholar
[5]Yu, K., ‘Linear forms in logarithms in the p-adic case’, New Advances in Transcendence Theory, ed. Baker, A., Cambridge Univ. Press, Cambridge, 1988, pp. 411–434.CrossRefGoogle Scholar