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 ...

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 ...

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 ...

to develop methods of visualizing Gaussian prime numbers to develop software for computer experimentation with abelian sandpiles associated to the Gaussian Schmidt arrangement The students ...

Henri Darmon of McGill University will receive the 2017 AMS Cole Prize in Number Theory. Darmon is honored "for his contributions to the arithmetic of elliptic curves and modular forms." The work of ...

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 ...