Summary We propose a new unit root test for stationary null hypothesis H0 against alternative H1. Our approach is nonparametric as only assumes that the process concerned I(0) without specifying any parametric forms. The based on fact sample autocovariance function converges to finite population an while it diverges infinity with roots. Therefore rejects large values of function. To address tec...

Motivated by the work of Candelas et al. (Calabi–Yau manifolds over finite fields, I. arXiv:hep-th/0012233 , 2000) on counting points for quintic family we study relations among Hasse–Witt matrices, unit-root part zeta functions and period integrals Calabi–Yau hypersurfaces in both toric varieties flag varieties. We prove a conjecture Vlasenko (Higher matrices. Indag Math 29(5):1411–1424, 2018)...