Friday 25 February, 16:00 – 17:00, Slingo Theatre

I will discuss the spectral theory of a family of infinite number-theoretic matrices, whose (n,m)’th entry involves the least common multple of n and m, denoted LCM(n,m). The simplest example of such matrix is {1/LCM(n,m)}, where n,m range over natural numbers. It turns out that an explicit formula for the asymptotics of eigenvalues of this matrix can be given. This is recent joint work with Titus Hilberdink.

Alexander Pushnitski (King’s College London, England)