33 citations · 33 across the 4 of their papers we have counts for
6 papers
Ax-Schanuel for the Drinfeld -function
Gal Binyamini, Dmitry Novikov, Francesco Maria Saettone
We prove an analog of the Ax-Schanuel theorem for the Drinfeld -function in odd characteristic. Roughly speaking, if the graph of $\boldsymbol{j}\colonΩ^n\rightarrow\mathbb{A}^n…
Logarithmic--exponential preparation in sharply o-minimal structures
Gal Binyamini, Oded Carmon, Dmitry Novikov
We develop a complex-analytic approach to the model theory of the (real) unrestricted exponential. As a consequence we derive sharp forms of many of the foundational results for th…
Estimating the number of real zeros of linear combinations of radicals of polynomials
Gal Binyamini, Avner Kiro, Alexander Logunov +2
We obtain upper bounds for the number of real zeros of functions of the form where and each $P_k…
The Pila-Zannier strategy for Drinfeld modules and Drinfeld modular curves
Gal Binyamini, Dmitry Novikov, Francesco Maria Saettone
We extend the Pila-Zannier strategy to Drinfeld modules: we prove analogues of the Manin-Mumford theorem for a product of two Drinfeld modules of equal rank, and of the André-Oort…
Bounds for rational points on algebraic curves, optimal in the degree, and dimension growth
Gal Binyamini, Raf Cluckers, Dmitry Novikov
Bounding the number of rational points of height at most on irreducible algebraic plane curves of degree has been an intense topic of investigation since the work by Bombie…
Redundant Picard-Fuchs system for Abelian integrals
D. Novikov, S. Yakovenko
We derive an explicit system of Picard-Fuchs differential equations satisfied by Abelian integrals of monomial forms and majorize its coefficients. A peculiar feature of this const…