V. Aslanyan

activity

20182025

collaborators

Showing math.CVShow all

3 papers · 1 filter

math.CV2024

Exponential sums equations and the Exponential Closedness conjecture

Vahagn Aslanyan, Francesco Gallinaro

This is an expository paper aiming to introduce Zilber's Exponential Closedness conjecture to a general audience. Exponential Closedness predicts when (systems of) equations involv…

math.CV2024

Complex solutions of polynomial equations on the unit circle

Vahagn Aslanyan

We explore systems of polynomial equations where we seek complex solutions with absolute value 1. Geometrically, this amounts to understanding intersections of algebraic varieties…

math.CV2023

Equations involving the modular $j$ -function and its derivatives

Vahagn Aslanyan, Sebastian Eterović, Vincenzo Mantova

We show that for any polynomial $F (X, Y_{0}, Y_{1}, Y_{2}) \in C [X, Y_{0}, Y_{1}, Y_{2}]$ , the equation $F (z, j (z), j^{'} (z), j^{''} (z)) = 0$ has a Zariski dense set of solutions in the hypersurfac…

Exponential sums equations and the Exponential Closedness conjecture

Complex solutions of polynomial equations on the unit circle

Equations involving the modular j-function and its derivatives

Equations involving the modular $j$ -function and its derivatives