Estimates of Newman Sum over Numbers Multiple of a Fixed Integer
نویسنده
چکیده
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.
منابع مشابه
Generalized Newman Phenomena and Digit Conjectures on Primes
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.
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