Continuous Interval in the Dispersion Spectrum

✍ Scribed by Soma Gupta

• Book ID: 102604630
• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 116 KB
• Volume: 84
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1006/jnth.1999.2474

✦ Synopsis

A measure for the denseness of sequences [:n mod 1], : irrational, is the dispersion constant D(:) introduced by H. Niederreiter, [1981, Colloq. Number Theory 185, 43 50]. In this paper a real number c has been found above which the dispersion spectrum (the set of values D(:) for : irrational) is continuous. A simple proof of an inequality by V. Drobot is given also.