2 papers
math.NT2004
A Sequence of Beurling Functions Related to the Natural Approximation B_{n} Defined by an Iterative Construction Generating Square-Free Numbers k and the Value of the Mobius Function at k
F. Auil
We construct iteratively a sequence of numbers k_{n} and Beurling functions A_{n} converging pointwise to -1 in [0,1]. We prove results which seems to suggest that each A_{n} is eq…
math.NT2004
Fourier Coefficients of Beurling Functions and a Class of Mellin Transform Formally Determined by its Values on the Even Integers
F. Auil
It is a well-known fact that Riemann Hypothesis will follows if the function identically equal to -1 can be arbitrarily approximated in the norm $\norma{.}$ of by…