6 papers
Twisted mixed moments of the Riemann zeta function
Javier Pliego
We analyse a collection of twisted mixed moments of the Riemann zeta function and establish the validity of asymptotic formulae comprising on some instances secondary terms of the…
Mixed moments of the Riemann zeta function
Javier Pliego
We analyse a collection of mixed moments of the Riemann zeta function and establish the validity of asymptotic formulae. Such examinations are performed both unconditionally and un…
On squares of sums of three cubes
Javier Pliego
We show that almost every positive integer can be expressed as a sum of four squares of integers represented as the sums of three positive cubes.
Uniform bounds in Waring's problem over some diagonal forms
Javier Pliego
We investigate the existence of representations of every large positive integer as a sum of -th powers of integers represented as certain diagonal forms. In particular, we consi…
On Waring's problem in sums of three cubes for smaller powers
Javier Pliego
We give an upper bound for the minimum with the property that every sufficiently large integer can be represented as the sum of positive -th powers of integers represent…
On Waring's problem in sums of three cubes
Javier Pliego
We investigate the asymptotic formula for the number of representations of a large positive integer as a sum of -th powers of integers represented as the sums of three positive…