Coefficient problems for classes Hq (φ) and Lq (φ)

Φ-modules and Coefficient Spaces

We define and study certain moduli stacks of modules equipped with a Frobenius semi-linear endomorphism. These stacks can be thought of as parametrizing the coefficients of a variable Galois representation and are global variants of the spaces of Kisin–Breuil Φ-modules used by Kisin in his study of deformation spaces of local Galois representations. A version of a rigid analytic period map is d...

φ φ φ φ φ φ k From Max - SAT to Min - UNSAT : Insights and Applications

This report describes a strong connection between maximum satisfiability and minimally-unsatisfiable subfor-mulas of any constraint system, as well as techniques for exploiting it. Focusing on CNF formulas, we explore this relationship and present novel algorithms for extracting minimally-unsatisfiable subformulas, including one that finds all such subformulas. We present experimental results s...

1 2 Κ ′ 2 ( Φ † Φ ′ ′ ) ( Φ ′ ′

We show how the nearly bi-maximal mixing scenario comes out naturally from gauged SO(3) F flavor symmetry via spontaneous symmetry breaking. An interesting relation between the neutrino mass-squared differences and the mixing angle, i.e., ∆m 2 µe /∆m 2 τ µ ≃ 2|U e3 | 2 is obtained. The smallness of the ratio (or |U e3 |) can also naturally be understood from an approximate permutation symmetry....

( a ) Φ ( a , B ) Φ Φ ( B , C ) ( C , D )

Multiple periodic solutions for two classes of nonlinear difference systems involving classical ( φ 1 , φ 2 ) - Laplacian

In this paper, we investigate the existence of multiple periodic solutions for two classes of nonlinear difference systems involving (φ1,φ2)-Laplacian. First, by using an important critical point theorem due to B. Ricceri, we establish an existence theorem of three periodic solutions for the first nonlinear difference system with (φ1,φ2)-Laplacian and two parameters. Moreover, for the second no...