On the densities of sets of multiples.
On the density of certain sets in arithmetical semigroups
On the density of some sets of primes connected with cyclotomic polynomials
On the density of some sets of primes, I
On the density of some sets of primes, II
On the density of some sets of primes, IV
On the determination of an additive arithmetical function by its local behaviour
On the diameter of sets of almost powers
On the difference between consecutive prime numbers
On the Difference Between Consecutive Primes.
On the Difference between Consecutive Primes.
On the difference between consecutive squarefree integers
On the difference of consecutive terms of sequences defined by divisibility properties
On the difference of values of the kernel function at consecutive integers.
On the diophantine equations
On the distributation of p ... modulo one.
On the distribution in the arithmetic progressions of reducible quadratic polynomials in short intervals, II
This paper gives further results about the distribution in the arithmetic progressions (modulo a product of two primes) of reducible quadratic polynomials in short intervals , where now . Here we use the Dispersion Method instead of the Large Sieve to get results beyond the classical level , reaching (thus improving also the level of the previous paper, i.e. ), but our new results are different in structure. Then, we make a graphical comparison of the two methods.
On the distribution of algebraic numbers with prescribed factorization properties
On the distribution of amicable numbers.
On the distribution of complex-valued multiplicative functions
Let , be complex-valued multiplicative functions. In the paper the necessary and sufficient conditions are indicated for the convergence in some sense of probability measureas .