Differential calculus with integers
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🧮 math.NT
keywords
differentialoperatorreplacedanalogueapplicationsarithmeticcalculusconstructions
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Ordinary differential equations have an arithmetic analogue in which functions are replaced by numbers and the derivation operator is replaced by a Fermat quotient operator. In this survey we explain the main motivations, constructions, results, applications, and open problems of the theory.
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