On finite pseudorandom binary sequences IV: The Liouville function, II
Julien Cassaigne, Sébastien Ferenczi, Christian Mauduit, Joël Rivat, András Sárközy (2000)
Acta Arithmetica
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Julien Cassaigne, Sébastien Ferenczi, Christian Mauduit, Joël Rivat, András Sárközy (2000)
Acta Arithmetica
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Robertson, John P. (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Paulo Ribenboim, Wayne McDaniel (1998)
Colloquium Mathematicae
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Maohua Le (1991)
Colloquium Mathematicae
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Moghaddamfar, A.R., Shi, W.J. (2006)
Beiträge zur Algebra und Geometrie
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Erin McAfee, Kenneth S. Williams (2006)
Journal de Théorie des Nombres de Bordeaux
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An elementary proof is given of an arithmetic formula, which was stated but not proved by Liouville. An application of this formula yields a formula for the number of representations of a positive integer as the sum of twelve triangular numbers.
Maurizio Laporta (2012)
Journal de Théorie des Nombres de Bordeaux
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We prove a Bombieri-Vinogradov type theorem for the number of representations of an integer in the form with prime numbers such that , under suitable hypothesis on for every integer .
Savin, Diana (2002)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Gijswijt, D., Moree, P. (2005)
Acta Mathematica Universitatis Comenianae. New Series
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