Tridiagonal canonical forms of square matrices under congruence or *congruence, pairs of symmetric or skew-symmetric matrices under congruence, and pairs of Hermitian matrices under *congruence are given over an algebraically ...

Let F be a field of characteristic 2. Let ΩFn be the F-space of absolute differential forms over F. There is a homomorphism ℘: ΩFn → ΩFn/dΩFn-1 given by ℘ (x dx1/x1 ∧ ⋯ ∧ dxn/xn) = (x2-x)dx1/x1 ∧ ⋯ ∧ dxn/xn mod dΩFn-1. Let ...

We have the possibility to use the comparative and superlative forms of adjectives whenever we want to sum up different characteristics that two or more people, things, animals, places, etc. have.

We characterize all cusp forms among the degree two Siegel modular forms by the growth of their Fourier coefficients. We also give a similar result for Jacobi forms over the group SL2(Z) Z(2).

We generalize Weil's converse theorem to Jacobi cusp forms of weight k, index m and Dirichlet character χ over the group Γ0(N)⋉ℤ2. Then two applications of this result are given; we generalize a construction of Jacobi forms ...

Let m >= 3 be an integer, zeta(m) is an element of C a primitive mth root of unity, and K-m the cyclotomic field Q(zeta(m)). An explicit description of the integral trace form Tr-Km/Q(x (x) over bar)vertical bar Z[zeta(m)] ...

We use the QCD pomeron model proposed by Landshoff and Nachtmann to compute the differential and the total cross-sections for pp scattering in order to discuss a QCD-based approach to the proton form factor. This model is ...