J. Diaz-Vargas

activity

20052023

collaborators

6 papers

math.NT2023

Nontrivial solutions to the Fermat equation $x^{3} + y^{3} = k z^{3}$ over quadratic number fields

Alejandro Argaez-Garcia, Javier Diaz-Vargas, Luis Eli Pech-Moreno

We give sufficient conditions to determine the existence of nontrivial solutions to the Fermat equation $x^{3} + y^{3} = k z^{3}$ over $Q (d)$ by constructing a relationship wi…

math.GR2018

What is a true spectra of a finite Fourier transform

Javier Diaz-Vargas, Lev Glebsky, Carlos Jacob Rubio-Barrios

In this paper we deal with a finite abelian group $G$ and the abstract Fourier transform ${\mathcal F}:{\mathbb C}^G\to {\mathbb C}^\hat{G}$. Then, we consider $\tilde{j}\circ {\ma…

math.NT2017

A description of a Drinfeld module with class number $h = 1$ and rank $1$

V. Bautista-Ancona, J. Diaz-Vargas, J. A. Lara Rodriguez +1

We work with detail the Drinfeld module over the ring $A = F_{2} [x, y] / (y^{2} + y = x^{3} + x + 1) .$ The example in question is one of the four examples that come from quadratic imaginary fields…

math.NT2014

Riemann Hypothesis for Goss $t$ -adic Zeta Function

Javier Diaz-Vargas, Enrique Polanco-Chi

In this short note, we give a proof of the Riemann hypothesis for Goss $v$ -adic zeta function $ζ_{v} (s)$ , when $v$ is a prime of $F_{q} [t]$ of degree one.

math.NT2006

Orders of vanishing of zeros of characteristic $p$ zeta function

Victor Bautista-Ancona, Javier Diaz-Vargas, Jose Luis Maldonado-Bazan

Orders of vanishing of zeros of zeta functions have much arithmetic information encoded in them. For the absolute zeta function, Dinesh Thakur gave sufficient conditions for the or…

math.NT2005

Quadratic Function Fields with Exponent Two Ideal Class Group

Victor Bautista-Ancona, Javier Diaz-Vargas

It has been shown by Madden that there are only finitely many quadratic extensions of k(x), k a finite field, in which the ideal class group has exponent two and the infinity place…

Nontrivial solutions to the Fermat equation x3+y3=kz3 over quadratic number fields

What is a true spectra of a finite Fourier transform

A description of a Drinfeld module with class number h=1 and rank 1

Riemann Hypothesis for Goss t-adic Zeta Function

Orders of vanishing of zeros of characteristic p zeta function

Quadratic Function Fields with Exponent Two Ideal Class Group

Nontrivial solutions to the Fermat equation $x^{3} + y^{3} = k z^{3}$ over quadratic number fields

A description of a Drinfeld module with class number $h = 1$ and rank $1$

Riemann Hypothesis for Goss $t$ -adic Zeta Function

Orders of vanishing of zeros of characteristic $p$ zeta function