Statistical Methods in Number Theory

D. D. Kosambi

Chapter Chapter 24 in D.D. Kosambi, 2016, pp 197-205 from Springer

Abstract: Abstract Although no longer affiliated with the TIFR, DDK persisted in his prime obsession, repeating and refining the basic arguments set forth in his earlier papers. The Hungarian mathematician A. Rényi reviewed this paper in Mathematical Reviews and noted that “Neither in this paper nor in his previous paper did the author succeed in proving his hypothesis, nor in deducing from it the Riemann hypothesis.” The “Kosambi hypothesis” (see the discussion on pages 7–9) is, according to Rényi “even more difficult than the problem of the validity of the Riemann hypothesis. As a matter of fact, no obvious method exists to prove the author’s hypothesis even under the assumption of the Riemann hypothesis.” Theorem 1 of this paper, therefore, is not proven.

Keywords: Iterate Logarithm; Riemann Hypothesis; Basic Argument; Euler Product; Prime Number Theorem (search for similar items in EconPapers)
Date: 2016
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:978-81-322-3676-4_24

Ordering information: This item can be ordered from
http://www.springer.com/9788132236764

DOI: 10.1007/978-81-322-3676-4_24

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 ().