A mean value theorem of Bombieri's type
A mean value theorem on differences of two k-th powers of numbers in residue classes.
A Mean-Value Theorem for Multiplicative Functions.
A new class of infinite products, and Euler's totient.
A new equidistribution property of norms of ideals in given classes
A new form of the error term in the linear sieve
A new look at Brun's sieve
A new method in the elementary theory of primes
A note on a multiplicative hybrid problem
A note on a result of Bateman and Chowla
A note on a theorem of Hardy and Littlewood
A note on Artin's conjecture in algebraic number fields.
A note on certain semigroups of algebraic numbers
The cross number κ(a) can be defined for any element a of a Krull monoid. The property κ(a) = 1 is important in the study of algebraic numbers with factorizations of distinct lengths. The arithmetic meaning of the weaker property, κ(a) ∈ ℤ, is still unknown, but it does define a semigroup which may be interesting in its own right. This paper studies some arithmetic(divisor theory) and analytic(distribution of elements with a given norm) properties of that semigroup and a related semigroup of ideals....
A note on Farey fractions with denominators in arithmetic progressions
A note on large gaps between consecutive prime numbers
A note on large gaps between prime numbers
A note on numbers with a large prime factor III
A note on numbers with good factorization properties
A note on primes between consecutive powers
A note on primes of the form p=aq² + 1