The study of arithmetic properties and digit restrictions in number theory explores the intricate relationships between classical arithmetic functions and the digital representation of numbers. This ...

Arithmetic dynamics investigates the behaviour of iterated functions—often polynomials or rational maps—over number fields and function fields, while Galois theory provides the framework to analyse ...

Number Theory is one of the oldest branches of modern mathematics. It is motivated by the study of properties of integers and solutions to equations in integers. Many of its problems can be stated ...

Our research group is concerned with two lines of investigation: the construction and study of (new) cohomology theories for algebraic varieties and the study of various aspects of the Langlands ...

One of the first collaborations Xinyi Yuan and Wei Zhang ever undertook was a trip to the Social Security office. It was the fall of 2004 and the two of them were promising young graduate students in ...

A new proof has debunked a conspiracy that mathematicians feared might haunt the number line. In doing so, it has given them another set of tools for understanding arithmetic’s fundamental building ...

The Mathematical Gazette is the original journal of the Mathematical Association and it is now over a century old. Its readership is a mixture of school teachers, college and university lecturers, ...

Harmonic numbers Hk = ∑o 3 be a prime. We show that $\sum\limits_{k = 1}^{p - 1} {\frac{{{H_k}}}{{k{2^k}}} \equiv 0} $ (mod p), $\sum\limits_{k = 1}^{p - 1} {H_k^2 ...

Goro Shimura, Princeton's Michael Henry Strater University Professor of Mathematics, Emeritus, died on Friday, May 3, in Princeton, New Jersey. He was 89. “Goro Shimura was a major research ...