17 citations · 43 across the 17 of their papers we have counts for
12 papers · 1 filter
Regular Polygonal Vortex Filament Evolution and Exponential Sums
Fernando Chamizo, Francisco de la Hoz
In this paper, we give a rigorous proof for the expression of the angle between adjacent sides in the skew polygons appearing at rational times in the evolution of regular polygons…
Correlation and lower bounds of arithmetic expressions
Fernando Chamizo
We explore the use of correlation with simple functions to get lower bounds for arithmetic quantities. In particular, we apply this idea to the power moments of the error term when…
Extendable orthogonal sets of integral vectors
Fernando Chamizo, Jorge Jiménez Urroz
Motivated by a model in quantum computation we study orthogonal sets of integral vectors of the same norm that can be extended with new vectors keeping the norm and the orthogonali…
A simple evaluation of a theta value and the Kronecker limit formula
Fernando Chamizo
We evaluate the classic sum . The novelty of our approach is that it does not require any prior knowledge about modular forms, elliptic functions o…
Primes represented by quadratic polynomials via exceptional characters
Fernando Chamizo, Jorge Jiménez Urroz
We estimate the number of primes represented by a general quadratic polynomial with discriminant , assuming that the corresponding real character is exceptional.
The additive problem for the number of representations as a sum of two squares
Fernando Chamizo
We improve a previous unconditional result about the asymptotic behavior of with the number of representations of as a sum of two squares when…