Analytic Number Theory

Project: Research area

Description

The aim of this research activity is the developement
of methods of asymptotic analysis to be used in problems
coming from analytic number theory:
1. Estimation of multidimensional exponential sums,
especially refinements
of the method of Van der Corput and applications to
higherdimensional
lattice point problems.
2. Methods to investigate integral means of number theoretic
functions.
3. Applications of the Rankin-Selberg method to
non-holomorphic automorphic forms and order estimation
of the related L-series.
StatusActive
Effective start/end date1/01/95 → …