## Number Theory

Current research in analytic number theory can be grouped under various themes. As usual in number theory, the themes interact with one another and with other areas of mathematics.

Members of the group produce much research on their own, but also work in collaboration with other number theorists worldwide, and we welcome enquiries for increasing national and international cooperation. Members of the group recently coordinated a European-Russian INTAS research programme entitled Analytical and Combinatorial Methods in Number Theory and Geometry, which provided an important platform for international exchange.

### Key Research Areas

- Advice to Research Students
- Integer points in the plane
- Integer points in higher dimensions
- The Diophantine Frobenius problem
- The Riemann zeta function
- Bernoulli and binomial relations
- Sieves
- Exponential sums
- Representations of integers
- Multiplicative properties of a pair of nearby integers

**Academic Staff**

**PhD student**

- Sally Hill
- David Humphreys