The exponential sum over squarefree integers
Jan-Christoph Schlage-Puchta (2004)
Acta Arithmetica
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Displaying similar documents to “Some arithmetic functions involving exponential divisors.”
The exponential sum over squarefree integers
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The paper deals with asymptotics for a class of arithmetic functions which describe the value distribution of the greatest-common-divisor function. Typically, they are generated by a Dirichlet series whose analytic behavior is determined by the factor ζ2(s)ζ(2s − 1). Furthermore, multivariate generalizations are considered.
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Acta Mathematica Universitatis Comenianae. New Series
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On a class of arithmetic convolutions involving arbitrary sets of integers.
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On Bourgain's bound for short exponential sums and squarefree numbers
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Acta Arithmetica
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We use Bourgain's recent bound for short exponential sums to prove certain independence results related to the distribution of squarefree numbers in arithmetic progressions.
An arithmetic criterion for the values of the exponential function
Damien Roy (2001)
Acta Arithmetica
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Some applications of Bombieri's estimate for exponential sums
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Acta Arithmetica
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Estimates of convolutions of certain number-theoretic error terms.
Ivić, Aleksandar (2004)
International Journal of Mathematics and Mathematical Sciences
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