Ariel Pacetti
Published 2025-02-04Version 1
Over the last two hundred years different transformation formulas for Gauss' hypergeometric function ${}_2F_1$ were discovered. The goal of the present article is to study their arithmetic analogue for the underlying hypergeometric motive. As an application, we show how these transformation properties can be used in the study of some Diophantine equations.
On Diophantine equations with Fibonacci and Lucas sequences associated to Hardy-Ramanujan problem
Commitment Schemes and Diophantine Equations
Transformation formulas of a character analogue of $\logθ_{2}(z)$
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