linear dynamic response of simply supported nanobeams subjected to a variable axial force is assessed by galerkin numerical approach. constitutive behavior is described by three functional forms of elastic energy densities enclosing nonlocal and strain gradient effects and their combination. linear stationary dynamics of nanobeams is modulated by an axial force which controls the global stiffne...

Let p be prime, N be a positive integer prime to p, and k be an integer. Let Pk(t) be the characteristic series for Atkin’s U operator as an endomorphism of p-adic overconvergent modular forms of tame level N and weight k. Motivated by conjectures of Gouvêa and Mazur, we strengthen a congruence in [W] between coefficients of Pk and Pk′ for k ′ p-adically close to k. For p − 1 | 12, N = 1, k = 0...

Ahlgren and Samart relate three cusp forms with complex multiplication to certain weakly holomorphic modular using p-adic bounds related their Fourier coefficients. In these examples, result strengthens a theorem of Guerzhoy, Kent, Ono which pairs CM via limits. use only the theory Hecke operators, whereas harmonic Maass forms. Here we extend Samart's work all cases where form space is one-dime...