Problems in Diophantine Approximation

George E. Andrews and Bruce C. Berndt
Additional contact information
George E. Andrews: The Pennsylvania State University, Department of Mathematics
Bruce C. Berndt: University of Illinois at Urbana-Champaign, Department of Mathematics

Chapter 7 in Ramanujan's Lost Notebook, 2013, pp 163-181 from Springer

Abstract: Abstract Three partial manuscripts on diverse problems in Diophantine approximation are examined. One is devoted to the Diophantine approximation to $$e^{2/a}$$ , and is related to Ramanujan’s only publication in the subject, a problem that he published in the Journal of the Indian Mathematical Society. In this partial manuscript, Ramanujan provides the best Diophantine approximation to e, approximately 60 years before the theorem was rediscovered and proved in print.

Keywords: Rational Number; Continue Fraction; Algebraic Number; Diophantine Approximation; Nonzero Integer (search for similar items in EconPapers)
Date: 2013
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-4081-9_7

Ordering information: This item can be ordered from
http://www.springer.com/9781461440819

DOI: 10.1007/978-1-4614-4081-9_7

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().