A mean value theorem of Bombieri's type
A note on Artin's conjecture in algebraic number fields.
A note on Waring's problem in GF (p)
A problem of D. H. Lehmer and its generalization (II)
A remark on Artin's conjecture.
A sharper bound for the least pair of consecutive k-th power non-residues of non-principal characters (mod p) of order k > 3
A short note on the difference between inverses of consecutive integers modulo .
An arithmetic function
An average form of Artin's conjecture
Arithmetic progressions of primitive roots of a prime. II.
Arithmetic progressions, prime numbers, and squarefree integers
In this paper we establish the distribution of prime numbers in a given arithmetic progression for which is squarefree.
Artin's conjecture on primes with prescribed primitive roots
Asymptotically exact heuristics for prime divisors of the sequence .
Average r-rank Artin conjecture
Let Γ ⊂ ℚ * be a finitely generated subgroup and let p be a prime such that the reduction group Γₚ is a well defined subgroup of the multiplicative group ₚ*. We prove an asymptotic formula for the average of the number of primes p ≤ x for which [ₚ*:Γₚ] = m. The average is taken over all finitely generated subgroups , with and , with a range of uniformity for every i = 1,...,r. We also prove an asymptotic formula for the mean square of the error terms in the asymptotic formula with a similar...
Character Sums and Primitive Roots in Algebraic Number Fields.
Chebyshev's bias.
Contributions to the theory of Kummer extensions
Distribution of difference between inverses of consecutive integers modulo .
Distribution of quadratic non-residues which are not primitive roots
In this article we study, using elementary and combinatorial methods, the distribution of quadratic non-residues which are not primitive roots modulo or for an odd prime and an integer.
Distribution of residues modulo p