On sums of powers in Ramanujan's lost notebook

Bruce C. Berndt, Daniel Schultz

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

On one page in his lost notebook, Ramanujan records seven formulas for sums of powers. The meaning of these formulas is not clear. We provide a proper interpretation and indicate their connection with maximum and minimum values of Bernoulli polynomials.

Original languageEnglish (US)
Pages (from-to)725-730
Number of pages6
JournalApplicable Analysis
Volume90
Issue number3-4
DOIs
StatePublished - Mar 1 2011

Fingerprint

Ramanujan's Lost Notebook
Sums of Powers
Polynomials
Bernoulli Polynomials
Interpretation
Meaning

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

Berndt, Bruce C. ; Schultz, Daniel. / On sums of powers in Ramanujan's lost notebook. In: Applicable Analysis. 2011 ; Vol. 90, No. 3-4. pp. 725-730.
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On sums of powers in Ramanujan's lost notebook. / Berndt, Bruce C.; Schultz, Daniel.

In: Applicable Analysis, Vol. 90, No. 3-4, 01.03.2011, p. 725-730.

Research output: Contribution to journalArticle

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