371 citations · 693 across the 25 of their papers we have counts for
29 papers
Zeta Spectral Triples
Alain Connes, Caterina Consani, Henri Moscovici
We propose and investigate a strategy toward a proof of the Riemann Hypothesis based on a spectral realization of its non-trivial zeros. Our approach constructs self-adjoint operat…
On q-series and the moment problem associated to local factors
Alain Connes, Caterina Consani, Henri Moscovici
We investigate the moment problem and Jacobi matrix associated -- by the operator theoretic framework of the semilocal trace formula -- to each finite set of places of $\mathbb…
Zeta zeros and prolate wave operators
Alain Connes, Caterina Consani, Henri Moscovici
We integrate in the framework of the semilocal trace formula two recent discoveries on the spectral realization of the zeros of the Riemann zeta function by introducing a semilocal…
On the van Est analogy in Hopf cyclic cohomology
Henri Moscovici
We present results relating the Hopf cyclic cohomology of the Hopf algebra of moving frames with that of the DG Hopf algebra of moving coframes, analogous to the van Est isomorphis…
Prolate spheroidal operator and Zeta
Alain Connes, Henri Moscovici
In this paper we describe a remarkable new property of the self-adjoint extension W of the prolate spheroidal operator introduced in \cite{college98},\cite{CMbook}. The restriction…
Modular Gaussian curvature
Matthias Lesch, Henri Moscovici
We review the state of the art of our understanding of the conformal geometry of the irrational rotation algebra. This was sparked by a paper by Cohen and Connes. We review the mor…