V. Bautista-Ancona

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20052024

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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.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…

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

Orders of vanishing of zeros of characteristic p zeta function

Quadratic Function Fields with Exponent Two Ideal Class Group

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

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