The exponential sum over squarefree integers
Jan-Christoph Schlage-Puchta (2004)
Acta Arithmetica
Similarity:
Displaying similar documents to “Some arithmetic functions involving exponential divisors.”
The exponential sum over squarefree integers
On certain arithmetic functions involving the greatest common divisor
Ekkehard Krätzel, Werner Nowak, László Tóth (2012)
Open Mathematics
Similarity:
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.
On the iterates of the sum of exponential divisors.
Kátai, I., Subbarao, M.V. (1999)
Mathematica Pannonica
Similarity:
Some results concerning exponential divisors.
Hagis, Peter jun. (1988)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Combinatorial aspects of the generalized Euler's totient.
Pabhapote, Nittiya, Laohakosol, Vichian (2010)
International Journal of Mathematics and Mathematical Sciences
Similarity:
On an analogue of completely multiplicative functions.
Haukkanen, P., Ruokonen, P. (1997)
Portugaliae Mathematica
Similarity:
Ramanujan sums via generalized Möbius functions and applications.
Laohakosol, Vichian, Ruengsinsub, Pattira, Pabhapote, Nittiya (2006)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Divisor problems in special sets of positive integers.
Nowak, W.G. (1992)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
On the DDT theorem
G. Bareikis, E. Manstavičius (2007)
Acta Arithmetica
Similarity:
On a class of arithmetic convolutions involving arbitrary sets of integers.
Tóth, László (2002)
Mathematica Pannonica
Similarity:
On the bi-unitary analogues of Euler's arithmetical function and the gcd-sum function.
Tóth, László (2009)
Journal of Integer Sequences [electronic only]
Similarity:
On Bourgain's bound for short exponential sums and squarefree numbers
Ramon M. Nunes (2016)
Acta Arithmetica
Similarity:
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
Similarity:
Some applications of Bombieri's estimate for exponential sums
Wenpeng Zhang, Yuan Yi (2003)
Acta Arithmetica
Similarity:
Estimates of convolutions of certain number-theoretic error terms.
Ivić, Aleksandar (2004)
International Journal of Mathematics and Mathematical Sciences
Similarity: