F. X. Portillo-Bobadilla

most citedMultiplicative operators in the spectral problem of integrable systems

1 citations · 2 across the 3 of their papers we have counts for

collaborators

4 papers

math.AP2018★ 1 cited

Multiplicative operators in the spectral problem of integrable systems

J. Adrían Espínola-Rocha, F. X. Portillo-Bobadilla

We consider the spectral problem of the Lax pair associated to periodic integrable partial differential equations. We assume this spectral problem to be a polynomial of degree $d$ …

math.AP2017★ 1 cited

Integrable Systems and Geometry of Riemann Surfaces

Jesús A. Espínola-Rocha, Francisco X. Portillo-Bobadilla

We give a self-contained introduction to the relations between Integrable Systems and the Geometry of Riemann Surfaces. We start from a historical introduction to the topic of inte…

math.NT2017

Experimental Evidence on a Refined Conjecture of the BSD type

Francisco X. Portillo-Bobadilla

Let $E / Q$ be an elliptic curve of level $N$ and rank equal to $1$ . Let $p$ be a prime of ordinary reduction. We experimentally study conjecture $4$ of B. Mazur and J. Tate…

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…

Multiplicative operators in the spectral problem of integrable systems

Integrable Systems and Geometry of Riemann Surfaces

Experimental Evidence on a Refined Conjecture of the BSD type

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

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