Michael Yiasemides

activity

20192023

most citedThe fourth power mean of Dirichlet

L

-functions in

F_{q} [T]

10 citations · 10 across the 6 of their papers we have counts for

collaborators

6 papers

math.NT2023

Lattice Point Variance in Thin Elliptic Annuli over $F_{q} [T]$

Michael Yiasemides

For fixed coprime polynomials $U, V \in F_{q} [T]$ with degrees of different parities, and a general polynomial $A \in F_{q} [T]$ , define the arithmetic function $S_{U…

math.NT2022

The Variance of the Sum of Two Squares over Intervals in $F_{q} [T]$ : I

Michael Yiasemides

For $B \in F_{q} [T]$ of degree $2 n \geq 2$ , consider the number of ways of writing $B = E^{2} + γ F^{2}$ , where $γ \in F_{q}^{*}$ is fixed, and $E, F \in F_{q} [T]$ with…

math.NT2021

The Variance and Correlations of the Divisor Function in $F_{q} [T]$ , and Hankel Matrices

Michael Yiasemides

We prove an exact formula for the variance of the divisor function over short intervals in $A := F_{q} [T]$ , where $q$ is a prime power. A slight adaption of the p…

math.NT2021

The Hybrid Euler-Hadamard Product Formula for Dirichlet $L$ -functions in $F_{q} [T]$

Michael Yiasemides

For Dirichlet $L$ -functions in $F_{q} [T]$ we obtain a hybrid Euler-Hadamard product formula. We make a splitting conjecture, namely that the $2 k$ -th moment of the Dirichlet…

math.NT2019

The Fourth Moment of Derivatives of Dirichlet $L$ -functions in Function Fields

J. C. Andrade, M. Yiasemides

We obtain the asymptotic main term of moments of arbitrary derivatives of $L$ -functions in the function field setting. Specifically, the first, second, and mixed fourth moments. Th…

math.NT2019★ 10 cited

The fourth power mean of Dirichlet $L$ -functions in $F_{q} [T]$

J. C. Andrade, M. Yiasemides

We prove results on moments of $L$ -functions in the function field setting, where the moment averages are taken over primitive characters of modulus $R$ , where $R$ is a polynomial…

Lattice Point Variance in Thin Elliptic Annuli over Fq​[T]

The Variance of the Sum of Two Squares over Intervals in Fq​[T]: I

The Variance and Correlations of the Divisor Function in Fq​[T], and Hankel Matrices

The Hybrid Euler-Hadamard Product Formula for Dirichlet L-functions in Fq​[T]

The Fourth Moment of Derivatives of Dirichlet L-functions in Function Fields

The fourth power mean of Dirichlet L-functions in Fq​[T]

Lattice Point Variance in Thin Elliptic Annuli over $F_{q} [T]$

The Variance of the Sum of Two Squares over Intervals in $F_{q} [T]$ : I

The Variance and Correlations of the Divisor Function in $F_{q} [T]$ , and Hankel Matrices

The Hybrid Euler-Hadamard Product Formula for Dirichlet $L$ -functions in $F_{q} [T]$

The Fourth Moment of Derivatives of Dirichlet $L$ -functions in Function Fields

The fourth power mean of Dirichlet $L$ -functions in $F_{q} [T]$