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Harmonic Series Summation Lemma and Vasyunin's Formulas.

Authors :
Báez-Duarte, L.
Source :
Journal of Mathematical Sciences. Apr2004, Vol. 120 Issue 5, p1653-1656. 4p.
Publication Year :
2004

Abstract

We introduce a mapping related to the Nyman–Beurling approach to the Riemann hypothesis. This mapping allows us to clarify the arithmetical nature of inner products for expansions of the “fractional part” functions. We also simplify the deduction of Vasyunin's cotangent formulas. Bibliography: 5 titles. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*RIEMANNIAN geometry
*INNER product spaces
*FRACTIONAL integrals
*HARMONIC functions
*OPERATOR product expansions
*MATHEMATICS

Details

Language :
English
ISSN :
10723374
Volume :
120
Issue :
5
Database :
Academic Search Index
Journal :
Journal of Mathematical Sciences
Publication Type :
Academic Journal
Accession number :
16566941
Full Text :
https://doi.org/10.1023/B:JOTH.0000018862.38853.fe
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