Remarks on number theory III. On addition chains
Paul Erdös (1960)
Acta Arithmetica
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Paul Erdös (1960)
Acta Arithmetica
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Costa Pereira, N. (1985-1986)
Portugaliae mathematica
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Bahman Saffari, R. C. Vaughan (1977)
Annales de l'institut Fourier
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As promised in the first paper of this series (Ann. Inst. Fourier, 26-4 (1976), 115-131), these two articles deal with the asymptotic distribution of the fractional parts of where is an arithmetical function (namely , , ) and is an integer (or a prime order) running over the interval . The results obtained are rather sharp, although one can improve on some of them at the cost of increased technicality. Number-theoretic applications will be given later on.
Kurt Mahler (1975)
Acta Arithmetica
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Jan-Hendrik Evertse (1982)
Compositio Mathematica
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John Friedlander, Henryk Iwaniec (1978)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Pieter L. Cijsouw, Michel Waldschmidt (1977)
Compositio Mathematica
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