Motivated by a proof without words for the sum of the alternating harmonic series, this article delves into some interesting questions regarding a series to which the usual convergence tests do not ...

Philosophical Transactions: Mathematical, Physical and Engineering Sciences, Vol. 366, No. 1867, 30 Years of Finite-Gap Integration (Mar. 28, 2008), pp. 1055-1088 (34 pages) In this paper, we ...

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 ...

Integrable systems and differential equations underpin a vast area of contemporary mathematical physics, where the synthesis of analytical techniques and geometric insight yields exact solutions to ...