On the Maximal Value of Additive Functions in Short Intervals and on Some Related Questions
نویسنده
چکیده
1. Let (a, b) and [a, b] be the greatest common divisor and the least common multiple of a and b, respectively . p„ denotes the n'th prime ; p, q, q1 , q2 , . . . are prime numbers. A sum Z and a product f f denote a summation and a multiplication, respectively, over primes indicated . The symbol # { . . .} denotes the number of elements indicated in the bracket 11. Pμ is the product of the first p primes . The aim of this paper is to continue our investigation on the distribution of the maximal value of additive functions in small intervals . In the sequel let g(n) be a non-negative strongly additive function,
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