Generalized Newman Phenomena and Digit Conjectures on Primes
نویسنده
چکیده
Recommended by Wee Teck Gan We prove that the ratio of the Newman sum over numbers multiple of a fixed integer, which is not a multiple of 3, and the Newman sum over numbers multiple of a fixed integer divisible by 3 is o1 when the upper limit of summing tends to infinity. We also discuss a connection of our results with a digit conjecture on primes.
منابع مشابه
Estimates of Newman Sum over Numbers Multiple of a Fixed Integer
We prove that the ratio of the Newman sum over numbers multiple of a fixed integer which is not multiple of 3 and the Newman sum over numbers multiple of a fixed integer divisible by 3 is o(1) when the upper limit of summing tends to infinity. We also discuss a connection of our results with a digit conjecture on primes.
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ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2008 شماره
صفحات -
تاریخ انتشار 2008