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Currently displaying 1 – 3 of 3

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Random Sums Related To Prime Divisors Of An Integer

J. M. De Koninck; A. Ivić — 1990

Publications de l'Institut Mathématique

Sums of reciprocals of additive functions running over short intervals

J.-M. De Koninck; I. Kátai — 2007

Colloquium Mathematicae

Letting f(n) = A log n + t(n), where t(n) is a small additive function and A a positive constant, we obtain estimates for the quantities $\sum_{x \leq n \leq x + H} 1 / f (Q (n))$ and $\sum_{x \leq p \leq x + H} 1 / f (Q (p))$ , where H = H(x) satisfies certain growth conditions, p runs over prime numbers and Q is a polynomial with integer coefficients, whose leading coefficient is positive, and with all its roots simple.

On a theorem of Daboussi related to the set of Gaussian integers.

Bassily, N.L.; De Koninck, J.-M.; Kátai, I. — 2003

Mathematica Pannonica

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