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- W3152258413 abstract "A classical theorem of P. Erdhs [1] states that if a real-valued additive function is non-decreasing or f ( n + 1) f (n ) --, 0 as n --* cr then it must have the form e log n for some constant c. Both statements were generalized and strengthened by many authors; see e.g. the book [2] of P. D. T. A. Elliott and references there. The aim of the present note is to give an elementary and straightforward proof for the following theorem, which is a corollary of the theorems proved in the papers [3], [4] and [5]." @default.
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- W3152258413 date "2005-01-01" @default.
- W3152258413 modified "2023-09-27" @default.
- W3152258413 title "ON ADDITIVE FUNCTIONS" @default.
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