152 citations · 1.1k across the 40 of their papers we have counts for
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math.NT2024
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…
math.NT2024
Heat Expansion and Zeta
Alain Connes
We compute the full asymptotic expansion of the heat kernel Trace where is, assuming RH, the self-adjoint operator whose spectrum is formed of the imaginary part…
math.NT2024
Knots, Primes and the adele class space
Alain Connes, Caterina Consani
We show that the scaling site and its periodic orbits of length offer a geometric framework for the well-known analogy between primes and knots. The…