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 ...

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 ...

Integrable systems occupy a unique niche in both classical and quantum physics. These systems are distinguished by the existence of sufficiently many conserved quantities – or invariants – that allow ...

Join us, October 26, 27 and 28, 2022, for our new lecture series named after Vladimir Marchenko, a Ukrainian mathematician who specializes in mathematical physics. Marchenko's seminal contributions to ...

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 ...