Leonard van Hemert

Sharp logarithmic coupling estimates for theta equality frames in a signed Weil-form realization

We prove sharp two-sided estimates for the finite-frame Schur correction associated with the first m pole-killing odd theta derivatives in a weighted realization of Weil's quadratic form. For each fixed m, its norm has order beta times log(1/beta) to the power 4m+5/2 as beta tend...

Exact Zero Detection and Compact Arithmetic Realizations for the Riemann Xi Function

We prove exact zero-detection and arithmetic realization theorems for the Riemann xi function without assuming the Riemann Hypothesis or simplicity of its zeros. The exhausted negative index of the complete semilocal Weil form detects every distinct off-line mirror pair, includin...