53 citations · 173 across the 23 of their papers we have counts for
6 papers · 1 filter
Generalisations of Ramanujan sums for Polynomial rings over finite fields
J. C. Andrade, J. R. P. Hanslope
In this paper, we consider a general form of the analogue of Ramanujan's sum in the ring of polynomials over a finite field. We first prove some multiplicative properties of such f…
Hybrid Euler-Hadamard Product for Dirichlet -functions with Prime conductors over Function Fields
Julio Andrade, Asmaa Shamesaldeen
In this paper we extend the hybrid Euler-Hadamard product model for quadratic Dirichlet -functions associated to irreducible polynomials over function fields. We also establish…
The First Moment of for Real Quadratic Function Fields
J. C. Andrade, J. MacMillan
In this paper we use techniques first introduced by Florea to improve the asymptotic formula for the first moment of the quadratic Dirichlet L-functions over the rational function…
Mean values of derivatives of -functions in function fields: IV
Julio Andrade, Hwanyup Jung
In this series, we investigate the calculation of mean values of derivatives of Dirichlet -functions in function fields using the analogue of the approximate functional equation…
The Fourth Moment of Derivatives of Dirichlet -functions in Function Fields
J. C. Andrade, M. Yiasemides
We obtain the asymptotic main term of moments of arbitrary derivatives of -functions in the function field setting. Specifically, the first, second, and mixed fourth moments. Th…
The fourth power mean of Dirichlet -functions in
J. C. Andrade, M. Yiasemides
We prove results on moments of -functions in the function field setting, where the moment averages are taken over primitive characters of modulus , where is a polynomial…