2 papers
math.NT2026
Contributions to the theory of the Euler eta function
Torre Caparatta, Sebastian Pauli, Filip Saidak
We investigate the distribution of the zeros of the Euler's function and its integral and fractional derivatives.
math.GM2024
Zeros of fractional derivatives of polynomials
Torre Caparatta, Sebastian Pauli, Filip Saidak
We investigate the behavior of fractional derivatives of polynomials. In particular, we consider the locations and the asymptotic behaviour of their zeros and give bounds for their…