53 citations · 173 across the 23 of their papers we have counts for
26 papers
Correlations of zeros of a family of -functions in function fields with symplectic symmetry
Julio Andrade, Asmaa Shamesaldeen
In this paper, we adapt the framework developed by Mason and Snaith to investigate the -level density of zeros in the context of function fields. Specifically, we derive explici…
A Note on Twisted Moments of Dirichlet -functions
J. C. Andrade, J. MacMillan
In this paper, we establish an asymptotic formula for the twisted second moments of Dirichlet -functions with one and two twists when averaged over all primitive Dirichlet chara…
Random matrix theory and moments of moments of -functions
J. C. Andrade, C. G. Best
We give an analytic proof of the asymptotic behaviour of the moments of moments of the characteristic polynomials of random symplectic and orthogonal matrices. We therefore obtain…
On the Moments of Certain Families of Dirichlet -functions
J. C. Andrade, K. Smith
In this paper we address the problem of computing asymptotic formulae for the expected values and second moments of central values of primitive Dirichlet -functions $L(1/2,χ_{8d…
The Moments and statistical Distribution of Class number of Primes over Function Fields
Julio Andrade, Asmaa Shamesaldeen
We investigate the moment and the distribution of $L(1,\x_P),$ where $\x_P$ varies over quadratic characters associated to irreducible polynomials of degree over $\mathb…
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…
Universality of -Functions over function fields
J. C. Andrade, S. M. Gonek
We prove that the Dirichlet -functions associated with Dirichlet characters in are universal. That is, given a modulus of high enough degree, -functions w…
The Integral Moments and Ratios of Quadratic Dirichlet -Functions over Monic Irreducible Polynomials in
Julio Andrade, Hwanyup Jung, Asmaa Shamesaldeen
In this paper we extend to the function field setting the heuristics formerly developed by Conrey, Farmer, Keating, Rubinstein and Snaith, for the integral moments of -functions…
Small zeros of Dirichlet -functions of quadratic characters of prime modulus
Julio Andrade, Siegfred Baluyot
In this paper, we investigate the distribution of the imaginary parts of zeros near the real axis of Dirichlet -functions associated to the quadratic characters $χ_{p}(\cdot)=(\…
Average Values of -series for Real Characters in Function Fields
Julio C. Andrade, Sunghan Bae, Hwanyup Jung
We establish asymptotic formulae for the first and second moments of quadratic Dirichlet --functions, at the centre of the critical strip, associated to the real quadratic funct…
Rudnick and Soundararajan's Theorem for Function Fields
Julio Andrade
In this paper we prove a function field version of a theorem by Rudnick and Soundararajan about lower bounds for moments of quadratic Dirichlet -functions. We establish lower bo…
A Simple Proof of the Mean Value of in Function Fields
Julio Andrade
Let be a finite field of odd cardinality , the polynomial ring over , the rational function field over and the set of square-free moni…
Conjectures for the integral moments and ratios of L-functions over function fields
J. C. Andrade, J. P. Keating
We extend to the function field setting the heuristic previously developed, by Conrey, Farmer, Keating, Rubinstein and Snaith, for the integral moments and ratios of -functions…
Shifted convolution and the Titchmarsh divisor problem over F_q[t]
J. C. Andrade, L. Bary-Soroker, Z. Rudnick
In this paper we solve a function field analogue of classical problems in analytic number theory, concerning the auto-correlations of divisor functions, in the limit of a large fin…
Zeros of Dirichlet L-functions over Function Fields
Julio C. Andrade, Steven J. Miller, Kyle Pratt +1
Random matrix theory has successfully modeled many systems in physics and mathematics, and often the analysis and results in one area guide development in the other. Hughes and Rud…
Mean Value Theorems for L-functions over Prime Polynomials for the Rational Function Field
Julio C. Andrade, Jonathan P. Keating
The first and second moments are established for the family of quadratic Dirichlet --functions over the rational function field at the central point where the c…
Newman's conjecture in various settings
Julio Andrade, Alan Chang, Steven J. Miller
De Bruijn and Newman introduced a deformation of the Riemann zeta function , and found a real constant which encodes the movement of the zeros of under the deforma…
Special Sets of Primes in Function Fields
Julio Andrade, Steven J. Miller, Kyle Pratt +1
When investigating the distribution of the Euler totient function, one encounters sets of primes P where if p is in P then r is in P for all r|(p-1). While it is easy to construct…
Hilbert-Pólya Conjecture, Zeta-Functions and Bosonic Quantum Field Theories
Julio Andrade
The original Hilbert and Pólya conjecture is the assertion that the non-trivial zeros of the Riemann zeta function can be the spectrum of a self-adjoint operator. So far no such op…