Jonas Matuzas

A quadratic critical-value conjecture for the fifth Bessel moment

We conjecture a quadratic critical-value evaluation of ∫₀^∞ K₀(t)⁵ dt for a weight-three, level-60 newform. We prove that its twisted symmetric-square value at 2 equals √15π² times its Petersson norm, and give exact norm and coefficient-twist identities. These modular theorems identify the companion norm formula with L...