3 papers
math.NT2026
Logarithmic Chowla Correlations Across All Shift Scales
Jizhou Guo
Let be the Liouville function. We prove a fixed power-logarithmic bound for its logarithmically weighted two-point correlations across the full shift range. Ther…
cs.CC2026
An Lower Bound for Permanent Circuits with Valid Division
Jizhou Guo
We record lower bounds for permanent circuits with valid division over characteristic zero, counting nonscalar multiplications and divisions while additions and scalar operations a…
cs.CG2026
Reinhardt's Maximum-Perimeter Polygon Problem for n=16, 32, and 64
Jizhou Guo, Yitao Luo
A convex polygon is called small if its diameter is at most one. Reinhardt proved the universal perimeter bound , and the bound is a…