10 citations · 59 across the 20 of their papers we have counts for
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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…
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…
Equations involving the modular -function and its derivatives
Vahagn Aslanyan, Sebastian Eterović, Vincenzo Mantova
We show that for any polynomial , the equation has a Zariski dense set of solutions in the hypersurfac…
A geometric approach to some systems of exponential equations
Vahagn Aslanyan, Jonathan Kirby, Vincenzo Mantova
Zilber's Exponential Algebraic Closedness conjecture (also known as Zilber's Nullstellensatz) gives conditions under which a complex algebraic variety should intersect the graph of…
Blurrings of the -function
Vahagn Aslanyan, Jonathan Kirby
Inspired by the idea of blurring the exponential function, we define blurred variants of the -function and its derivatives, where blurring is given by the action of a subgroup o…