On pairings of the first 2n natural numbers
On pairs of additive cubic equations.
On pairs of Goldbach-Linnik equations with unequal powers of primes
It is proved that every pair of sufficiently large odd integers can be represented by a pair of equations, each containing two squares of primes, two cubes of primes, two fourth powers of primes and 105 powers of 2.
On pairs of linear equations in three prime variables and an application to Goldbach's problem.
On partition functions and divisor sums.
On partitions and cyclotomic polynomials.
On partitions of N into summands coprime to N.
On partitions of N into summands coprime to N. (Short Communication).
On partitions with difference conditions.
On partitions with limited summands
On partitions without small parts
Let denote the number of partitions of into parts, each of which is at least . By applying the saddle point method to the generating series, an asymptotic estimate is given for , which holds for , and .
On polynomials in primes and J. Bourgain's circle method approach to ergodic theorems II
On polynomials that are sums of two cubes.
It is proved that, if F(x) be a cubic polynomial with integral coefficients having the property that F(n) is equal to a sum of two positive integral cubes for all sufficiently large integers n, then F(x) is identically the sum of two cubes of linear polynomials with integer coefficients that are positive for sufficiently large x. A similar result is proved in the case where F(n) is merely assumed to be a sum of two integral cubes of either sign. It is deduced that analogous propositions are true...
On polynomials that are sums of two perfect qth powers
On powers of 2 dividing the values of certain plane partition functions.
On practical partitions.
On prime factors of sums of integers I
On primitive 3-smooth partitions of .
On primitive lattice points in planar domains
On Ramanujan's continued fraction