Salem and Zygmund obtained an upper bound for a tail law of the iterated logarithm for sums of the form $\sum\limits{_{k=N} ^{\infty }} \ a_{k} \ cos (n_{k}x) + b_{x} \ sin(n_{k}x)$ , where n k ...

Researchers have reached a new milestone in the annals of cryptography with the factoring of the largest RSA key size ever computed and a matching computation of the largest-ever integer discrete ...

Nearly every scientific and engineering field needs applied math to make advances. Applied mathematicians team up with all types of experimentalists to accelerate research by predicting unexpected ...

Our PhD program is small and selective and leads to a doctorate degree in mathematics. We recruit outstanding students from around the world and train them to be effective teachers and cutting-edge ...

The Department of Engineering Sciences and Applied Mathematics (ESAM) at Northwestern University is highly interdisciplinary and focused on applications. Our faculty and students connect with ...

For thousands of years, mathematicians have adapted to the latest advances in logic and reasoning. Are they ready for artificial intelligence? By Siobhan Roberts In the collection of the Getty museum ...

The Riemann hypothesis is the most important open question in number theory—if not all of mathematics. It has occupied experts for more than 160 years. And the problem appeared both in mathematician ...