Displaying similar documents to “Factor tables 1657–1817, with notes on the birth of number theory”

A note on arithmetic Diophantine series

Alexander E. Patkowski (2021)

Czechoslovak Mathematical Journal

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We consider an asymptotic analysis for series related to the work of Hardy and Littlewood (1923) on Diophantine approximation, as well as Davenport. In particular, we expand on ideas from some previous work on arithmetic series and the RH. To accomplish this, Mellin inversion is applied to certain infinite series over arithmetic functions to apply Cauchy's residue theorem, and then the remainder of terms is estimated according to the assumption of the RH. In the last section, we use...

Czy kompetencja arytmetyczna jest uwarunkowana kulturowo?

Wojciech Krysztofiak (2018)

Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia

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The purpose of this essay is not to answer the question posed in the title, but to specify the ''preconditions'' for the defense of two opposing stances: mathematical culturalism and mathematical anticulturalism. The names of these stances are not present in the source literature. Introducing them to the debate on the nature of the relationship between expert mathematical knowledge and its folk counterpart is justified, because the dispute concerns i.a. the cultural status of mathematical...