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math.AG2024
Log-Noetherian functions
Gal Binyamini
We introduce the class of \emph{Log-Noetherian} (LN) functions. These are holomorphic solutions to algebraic differential equations (in several variables) with logarithmic singular…
math.NT2024
Sharp bounds for the number of rational points on algebraic curves and dimension growth, over all global fields
Gal Binyamini, Raf Cluckers, Fumiharu Kato
Let be an algebraic curve over a number field , and denote by the degree of over . We prove that the number of -rational poin…