Three hypotheses on φ and σ functions

Krassimir T. Atanassov
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132
Volume 1, 1995, Number 3, Pages 103—104
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Krassimir T. Atanassov
CLBME – Bulg. Academy of Sciences or MRL
P.O.Box 12, Sofia-1113, Bulgaria

Abstract

Three hypotheses concerning j and s functions will be discussed. The idea was generated in the last year, when the author showed that all numbers smaller than 1000 are representable only by the digits “1”, “9”, “9” and “4”, operation “+” and functions j and s. Its results were planned for publication in “Bulletin on Number Theory”, but the issue for 1994 was not printed in time and the paper somewhat lost in value. Now, we extend its idea and formulate some open problems related to it.

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Atanassov, K. T. (1995). Three hypotheses on φ and σ functions. Notes on Number Theory and Discrete Mathematics, 1(3), 103-104.

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