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- W2107181142 abstract "Consider the sequence (3k)k≥0 written in base two representation and reduce the sum of digits s2(3k) mod 2. A well-known result of Newman [10] says that the resulting sequence shows an overplus of 0’s with respect to 1’s. It is also known [3] that, asymptotically speaking, s2(7k)k≥0 is more often 0 than 1 or 2. We investigate similar phenomena for the sequence (7k + i)k≥0 with 0 <i ≤ 6 as well as give a two-parametric family of arithmetic progressions where overplus phenomena can be observed. This paper sharpens and extends" @default.
- W2107181142 created "2016-06-24" @default.
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- W2107181142 date "2005-01-01" @default.
- W2107181142 modified "2023-09-23" @default.
- W2107181142 title "MULTI-PARAMETRIC EXTENSIONS OF NEWMAN'S PHENOMENON" @default.
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