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THE CONNECTION BETWEEN THE ORDERS OF p-ADIC CALCULUS AND THE DIMENSIONS OF THE WEIERSTRASS TYPE FUNCTION IN LOCAL FIELDS

HUA QIU

Department of Mathematics, Nanjing University, Nanjing, 210093, China

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WEIYI SU

Department of Mathematics, Nanjing University, Nanjing, 210093, China

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https://doi.org/10.1142/S0218348X07003599Cited by:10 (Source: Crossref)

Abstract

This paper investigates the Weierstrass type function in local fields whose graph is a chaotic repelling set of a discrete dynamical system, and proves that their exists a linear connection between the orders of its p-adic calculus and the dimensions of the corresponding graphs.

Keywords:

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