4 papers
Asymptotic monoids of words and logarithmic-prefix functionals for divergent arithmetic products
A. Alvarez Cruz, E. A. Alvarez Gutierrez
We define a generalized monoid of words, an asymptotic quotient of moderate nets of finite words, to regularize divergent products of arithmetic origin. Divergent sequences are enc…
A generalized monoid of infinite words: asymptotic prefix-suffix quotients and algebraic structure
A. Alvarez Cruz, E. A. Alvarez Gutierrez
A generalized monoid of words tilde{Sigma}* is constructed as the quotient of moderate nets of finite words by an asymptotic equivalence relation based on a bidirectional prefix-su…
Multiplicative Colombeau algebras and the Nyman--Beurling criterion for the Riemann hypothesis
Amaury Alvarez Cruz, Esteban A Alvarez Gutierrez
This paper establishes an equivalence between the Riemann hypothesis and the association, together with uniform -boundedness, of a moderate net in a Colombeau-type algebra bui…
Complex Germen on invariant isotropic tori under the Hamiltonian phases flow with in involution Hamilton functions
Amaury Alvarez Cruz, Baldomero Valiño Alonso
M. M. Nekhoroshev put forward the problem of to find the Complex Germ on a isotropic invariant torus with respect to Hamiltonian phases flows which come from k-functions in involut…