Michel Planat

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math.NT2026

Collective Contraction in the de Bruijn--Newman Heat Flow: Off-Zero Logarithmic Derivatives and Certified Barrier Refinements

Michel Planat

We study the de Bruijn--Newman family $H_{τ} (z)$ , with heat-deformation parameter $τ$ and $H_{0} (z) = \frac{1}{8}, ξ (\frac{1}{2} + \frac{i z}{2})$ . The moving zeros considered here are therefore…

math.NT2026

Morse Topology, Zero Products, and Elliptic Prime Crossings

Michel Planat

We study how the noncentral zeros of an elliptic-curve $L$ -function enter the Birch--Swinnerton-Dyer (BSD) leading coefficient and the prime-scale crossings of an elliptic Chebyshe…