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On the fractional parts of x / n and related sequences. I

Bahman Saffari, R. C. Vaughan (1976)

Annales de l'institut Fourier

This paper and its sequels deal with a new concept of distributions modulo one which is connected with the Dirichlet divisor and similar problems. Each of the theorems has some independent interest, and in addition some of the techniques developed lead to improvements in certain applications of the hyperbola method.

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