• A note on entire L-functions 

      Chirre, Andrés (Journal article; Peer reviewed, 2019)
      In this paper, we exhibit upper and lower bounds with explicit constants for some objects related to entire L-functions in the critical strip, under the generalized Riemann hypothesis. The examples include the entire ...
    • Extreme values for Sn(σ,t) near the critical line 

      Chirre, Andrés (Journal article; Peer reviewed, 2019)
      Let S(σ, t) =1πargζ(σ+it)be the argument of the Riemann zeta function at the point σ+itof the critical strip. Fo r n ≥1and t >0we defineSn(σ, t)=t∫0Sn−1(σ, τ)dτ+δn,σ,where δn,σis a specific constant depending on σand n. ...
    • A note on the zeros of approximations of the Ramanujan Ξ−function 

      Chirre, Andrés; Velásquez, Oswaldo (Peer reviewed; Journal article, 2020)
      In this paper we review the study of the distribution of the zeros of certain approximations for the Ramanujan Ξ-function given by Ki (Ramanujan J 17(1):123–143, 2008), and we provide new proofs of his results. Our approach ...
    • Pair Correlation estimates for the zeros of the zeta function via semidefinite programming 

      Chirre, Andrés; Gonçalves, Felipe; De Laat, David (Peer reviewed; Journal article, 2020)
      In this paper we study the distribution of the non-trivial zeros of the Riemann zeta-function ζ(s) (and other L-functions) using Montgomery's pair correlation approach. We use semidefinite programming to improve upon ...