On the Distribution of αp Modulo One
In this article, some topics on the approximation to the real number by rational numbers are introduced. In particular, the author introduces the progress on the situation in which the denominators of rational numbers are prime numbers and describes some methods used.
Keywordsprime number sieve method trigonometric sum
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- I. M. Vinogradov, The method of trigonometric sums in the theory of numbers, translated from the Russian by K. F. Roth and A. Davenport ( WileyInterscience, London, 1954 )Google Scholar