Number theory and harmonic analysis, mainly
analytic number theory, and most especially the distribution of prime numbers,
properties of the Riemann zeta function, and the distribution of its
zeros. Further interests include Diophantine approximation, the
geometry of numbers, transcendence, Turán's power sums, irregularities
of distribution, extremal properties of trigonometric polynomials,
and analytic inequalities.
International mathematical journal of analysis and its applications