Author

Patrick Solé

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Preprint Aug 2026

Second-Level Concavity of the Riemann $\Xi$ Kernel

Let $\Phi$ be the classical Jacobi-theta kernel in the Fourier representation of the Riemann $\Xi$-function, set $s(t)=\Phi(\sqrt t)$, and define the first Laguerre expression $f(t)=s'(t)^2-s(t)s''(t)$. Csordas and Dimitrov (2000) conjectured that $\log f$ is strictly concave on $(0,\infty)$; Csordas (2015) later resta...

Michel Planat, Patrick Solé · 0 citations