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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.

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