On the number of solutions of N - p = Pr.
On the Number of Solutions of p + h = Pr.
On the number of subgroups of finite abelian groups
Letwhere denotes the number of subgroups of all abelian groups whose order does not exceed and whose rank does not exceed , and is the error term. It is proved that
On the number of y-smooth natural numbers ... representable as a sum of two integer squares.
On the numbers that are representable as the sum of two cubes.
On the number-theoretic functions ν(n) and Ω(n)
On the Oesterlé-Masser Conjecture.
On the orbits of Singer groups and their subgroups.
On the order of magnitude of the difference between consecutive prime numbers
On the order of the Mertens function.
On the order of unimodular matrices modulo integers
On the order of vanishing of modular -functions at the critical point
On the problem
On the pair correlation conjecture for zeros of the Riemann zeta-function.
On the papers of Ramachandra and Kátai
On the parity of generalized partition functions, III
Improving on some results of J.-L. Nicolas [15], the elements of the set , for which the partition function (i.e. the number of partitions of with parts in ) is even for all are determined. An asymptotic estimate to the counting function of this set is also given.
On the parity of k-th powers modulo p. A generalization of a problem of Lehmer
On the periods of the linear congruential and power generators
On the Piatetski-Shapiro-Vinogradov Theorem
On the Piltz divisor problem in algebraic number fields