Matching Tag: reflection-theorems
Local Ohno–Nakagawa box conjecture. The lattices V τ , τ n − 1 f \mathcal V_{\tau,\tau^{n-1}f} V τ , τ n − 1 f and V 2 τ − 1 , ( 2 τ − 1 ) n − 1 f \mathcal V_{2\tau^{-1},(2\tau^{-1})^{n-1}f} V 2 τ − 1 , ( 2 τ − 1 ) n − 1 f are naturally dual with duality constant…
Let K K K be a local field with char K ≠ 2 \operatorname{char}K\neq2 char K = 2 , let n n n be odd, and let τ \tau τ be a nonzero parameter. Let V τ , τ n − 1 f \mathcal V_{\tau,\tau^{n-1}f} V τ , τ n − 1 f and…
Let K K K be a 2 2 2 -adic local field and let 0 ≤ t ≤ s ≤ e = v K ( 2 ) 0\leq t\leq s\leq e=v_K(2) 0 ≤ t ≤ s ≤ e = v K ( 2 ) . Let C 1 ⊆ C 2 C_1\subseteq C_2 C 1 ⊆ C 2 be orders in a cubic K K K -algebra R R R with C 2 / C 1 ≅ O K / π s − t C_2/C_1\cong\mathcal{O}_K/\pi^{s-t} C 2 / C 1 ≅ O K / π s − t cycli…
Let n n n be a positive odd integer. Let f f f be a polynomial of degree n n n with no multiple roots and only one real root. A 2 × n × n 2\times n\times n 2 × n × n box is a pair ( A , B ) (A,B) ( A , B ) of n × n n\times n n × n i…