Hilbert's Inequality and Witten's Zeta-Function
Hilbert's Inequality and Witten's Zeta-Function
1. INTRODUCTION. In this article we explore a variety of pleasing connections between analysis, number theory, and operator theory, while revisiting a number of beautiful inequalities originating with Hilbert, Hardy and others. We shall first discuss the aforementioned Hilbert inequality [14], [18] and then apply it to various multiple zeta …