The nonarchimedean local analogues of modular forms of half-integral weight with level and character are certain vectors in irreducible, admissible, genuine representations of the metaplectic group over a nonarchimedean local field of characteristic zero. Two natural level raising operators act on such vectors, leading to the concepts of oldforms and newforms. We prove that the number of newfor...

We determine the dimension and in some cases the minimum distance of primitive, narrow sense BCH codes of length n with small designed distance. We show that such a code contains its Euclidean dual code and, when the size of the field is a perfect square, also its Hermitian dual code. We establish two series of quantum error-correcting codes.

The ferroelectric domain structures in 1-3 type bulk magnetoelectric composites were studied using the phase-field method. The ferroelectric polarization distributions in triangle, square, circle, and other polygonsshaped rods embedded in a ferromagnetic matrix were obtained. The influences of ferroelectric particle size and symmetry and the surrounding magnetic phase medium on the stability of...

A novel square equal-area map projection is proposed. The combines closed-form forward and inverse solutions with relatively low angular distortion minimal cusps, a combination of properties not manifested by any previously published projection. Thus, the new has lower than solution. Utilizing quincuncial arrangement, places north pole at center divides south between its four corners; can be se...