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Showing papers by "Henryk Iwaniec published in 1975"


Journal ArticleDOI
TL;DR: For arbitrary A > 0, with a larger value of Q than hitherto, this article showed that the suppression of an absolute constant is equivalent to the number of prime numbers up to N which are congruent to a (mod q), and ϕ(q) denotes Euler's function.
Abstract: Let x, y, Q denote large real numbers, with x > y > Q. The object of this paper is to prove the following resultfor arbitrary A > 0, with a larger value of Q than hitherto. The symbol denotes as usual the suppression of an absolute constant, π(N; q, a) denotes the number of prime numbers up to N which are congruent to a (mod q), and ϕ(q) denotes Euler's function.

58 citations