On the probability that integers chosen according to the binomial distribution are relative prime
On the probability that k generalized integers are relatively H-prime
On the probability that n and f (n) are relatively prime II
On the probability that n and f(n) are relatively prime
On the probability that n and f(n) are relatively prime III
On the probability that n and g(n) are relatively prime
On the problem of detecting linear dependence for products of abelian varieties and tori
On the problem of divisors
On the problem of Goldbach's type.
On the problem of odd h-fold perfect numbers
On the problem of uniqueness for the maximum Stirling number(s) of the second kind.
On the product ...(1-z...k).
On the product formula in Galois groups.
On the product of balanced sequences
The product w = u ⊗ v of two sequences u and v is a naturally defined sequence on the alphabet of pairs of symbols. Here, we study when the product w of two balanced sequences u,v is balanced too. In the case u and v are binary sequences, we prove, as a main result, that, if such a product w is balanced and deg(w) = 4, then w is an ultimately periodic sequence of a very special form. The case of arbitrary alphabets is approached in the last section. The partial results obtained and the problems...
On the product of balanced sequences
The product w = u ⊗ v of two sequences u and v is a naturally defined sequence on the alphabet of pairs of symbols. Here, we study when the product w of two balanced sequences u,v is balanced too. In the case u and v are binary sequences, we prove, as a main result, that, if such a product w is balanced and deg(w) = 4, then w is an ultimately periodic sequence of a very special form. The case of arbitrary alphabets is approached in the last section. The partial results obtained and the problems...
On the Product of Consecutive Elements of an Arithmetic Progression.
On the product of divisors of a positive integer
On the product of divisors of and of .
On the product of heights of algebraic numbers summing to real numbers
On the product of the conjugates outside the unit circle of an algebraic integer