Arithmetical Operations, Fractions, Progressions, Linear Equations And Roots Of Real Numbers, According To The Codex Vindοbonensis Phil. Gr. 65 Of The 15th Century
Maria D. Chalkou (2009)
Review of the National Center for Digitization
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Maria D. Chalkou (2009)
Review of the National Center for Digitization
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Maria D. Chalkou (2008)
Review of the National Center for Digitization
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Burnett, Charles (2002)
Boletín de la Asociación Matemática Venezolana
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Della D. Fenster (1999)
Revue d'histoire des mathématiques
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In 1911, the research mathematician Leonard Dickson embarked on a study of the theory of numbers which culminated in the publication of his three-volume . This paper discusses the genesis of this work, the historiographic style revealed therein, and the mathematical contributions which arose out of it.
Shanta Laishram, T. N. Shorey (2008)
Acta Arithmetica
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Milosav M. Marjanović (1999)
The Teaching of Mathematics
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Mohand-Ouamar Hernane, Florian Luca (2009)
Acta Arithmetica
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Carl Pomerance (1989)
Colloquium Mathematicae
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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...
William D. Banks, Igor E. Shparlinski (2004)
Acta Arithmetica
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Milosav M. Marjanović (2003)
The Teaching of Mathematics
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N. Saradha, T. N. Shorey, R. Tijdeman (2002)
Acta Arithmetica
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Shanta Laishram, T. N. Shorey, Szabolcs Tengely (2008)
Acta Arithmetica
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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...