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picture1_Geometric Constructions Pdf 169028 | Statupdated


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File: Geometric Constructions Pdf 169028 | Statupdated
DIFFERENTIAL CALCULUS WITH INTEGERS ALEXANDRUBUIUM Abstract. Ordinary dierential equations have an arithmetic analogue in which functions are replaced by numbers and the derivation operator is re- placed by a Fermat ...

icon picture PDF Filetype PDF | Posted on 25 Jan 2023 | 2 years ago
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...Differential calculus with integers alexandrubuium abstract ordinary dierential equations have an arithmetic analogue in which functions are replaced by numbers and the derivation operator is re placed a fermat quotient this survey we explain main motivations constructions results applications open problems of theory purpose these notes to show how one can develop dierentiable x t integer n dx fer p dt mat where prime lie cartan geometric solutions smooth maps then integral points algebraic varieties particular invariants groups invari ants correspondences between number diophantine geometry over elds classical modular forms will be explained program was initiated pursued for exposition some ideas refer monograph cf also paper shall restrict ourselves here case partial throughout weassumefamiliarity basic concepts standard material being reviewed however sake introducing notation setting stage organized as follows rst section presents background discussion comparison other theories the...
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