Multiplicative Hankel matrices
Kristian Seip, NTNU, Trondheim (póster)
Jueves, 27 de febrero, ICMAT, Aula Naranja, 11:30
Abstract.-
\[\]
In two papers, published in 2006 and (posthumously) in 2010, Henry Helson initiated a study of multiplicative Hankel matrices, which are finite or infinite matrices whose entries \[a_{m,n}\]
only depend on the product \[m\cdot n\]
. I will discuss the motivation for these papers, their contents, and subsequent developments. In particular, I will give an answer to the following question: What is the multiplicative analogue of the classical Hilbert matrix? Here it will be seen that the Riemann zeta function shows up in a natural way.