Some Ω-theorems for the Riemann zeta-function
Kai-Man Tsang (1986)
Acta Arithmetica
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Kai-Man Tsang (1986)
Acta Arithmetica
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K. Ramachandra, A. Sankaranarayanan (1991)
Publications de l'Institut Mathématique
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Aleksandar Ivić (1987)
Acta Arithmetica
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K. Ramachandra, A. Sankaranarayanan (1991)
Publications de l'Institut Mathématique
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Eira J. Scourfield (2004)
Journal de Théorie des Nombres de Bordeaux
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In 1989, E. Saias established an asymptotic formula for with a very good error term, valid for , , We extend this result to an algebraic number field by obtaining an asymptotic formula for the analogous function with the same error term and valid in the same region. Our main objective is to compare the formulae for and and in particular to compare the second term in the two expansions.
András Sárközy, P. Erdös (1982)
Acta Arithmetica
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P Turán (1959)
Acta Arithmetica
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Horadam, E.M. (1968)
Portugaliae mathematica
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M. Kalecki (1967)
Acta Arithmetica
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