exponential-sums

A reproducible spectral decomposition of wheel-corrected prime residuals into rational major-arc structure and Riemann-zero frequencies.

Part III of the Legendre-interval series: ker L' is the pairwise-sum set of the roots of the sextic u·A(u)+1 (hexad, S6 ≅ Sp4(F2)); Witt–Artin–Schreier sheaves give W' = −q^7 for 5-cycles unconditionally and reduce X = q^6 + q^5 to class counts and Brown invariants. Paper, code, exact data.

Prime polynomials in Legendre intervals over F_{2^k}[t], II — exact variances via quadratic towers and supersingular Artin–Schreier curves: paper (LaTeX), verification code and data (R. Chen, 2026)