On the error function in the asymptotic formula for the counting function of k-full numbers
On the Error Term for the Counting Functions of Finite Abelian Groups.
On the error term in Weyl's law for Heisenberg manifolds
On the error term of an asymptotic formula of Ramanujan
On the error term of the logarithm of the lcm of a quadratic sequence
We study the logarithm of the least common multiple of the sequence of integers given by . Using a result of Homma [5] on the distribution of roots of quadratic polynomials modulo primes we calculate the error term for the asymptotics obtained by Cilleruelo [3].
On the exponent of the ideal class groups of imaginary extensions of
On the Exponential Divisor Function
On the fractional parts of and related sequences. II
As promised in the first paper of this series (Ann. Inst. Fourier, 26-4 (1976), 115-131), these two articles deal with the asymptotic distribution of the fractional parts of where is an arithmetical function (namely , , ) and is an integer (or a prime order) running over the interval . The results obtained are rather sharp, although one can improve on some of them at the cost of increased technicality. Number-theoretic applications will be given later on.
On the frequencies of large values of divisor functions
On the function .
On the generalization of the D. H. Lehmer problem II
On the hybrid mean value of Cochrane sums and generalized Kloosterman sums
On the hybrid mean value of Dedekind sums and Hurwitz zeta-function
On the Integers n for which ...(n) = k (II).
On the intervals between numbers that are sums of two squares. III.
On the iteration of . (Sur l'itéré de .)
On the k-free divisor problem
On the k-free divisor problem (II)
On the largest prime factor of
For an integer we denote by the largest prime factor of . We obtain several upper bounds on the number of solutions of congruences of the form and use these bounds to show that
On the largest prime factors of n and n+1.