On an extension of Kronecker's function
Rao, K. Nageswara (1968)
Portugaliae mathematica
S. Segal (1976)
Acta Arithmetica
J. Kubilius (1975)
Acta Arithmetica
Haukkanen, Pentti (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Müller, Tom (2007)
Journal of Integer Sequences [electronic only]
Somayajulu, Al (1968)
Portugaliae mathematica
C. Elsner (1999)
Colloquium Mathematicae
Takashi Agoh (1988)
Manuscripta mathematica
Prodinger, Helmut (2000)
Integers
Ekkehard Krätzel, Werner Nowak, László Tóth (2012)
Open Mathematics
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.
A. J. van der Poorten, H. C. Williams (1999)
Acta Arithmetica
Sita Ramaiah, V. (1979)
Portugaliae mathematica
Florin P. Boca, Joseph Vandehey (2012)
Acta Arithmetica
P. Haukkanen, R. Sivaramakrishnan (1994)
Collectanea Mathematica
S. Chowla, I. Kessler, M. Livingston (1977)
Acta Arithmetica
Christian Elsholtz (2003)
Acta Arithmetica
Carl Pomerance (1976)
Acta Arithmetica
Gong, Sherry, Kominers, Scott Duke (2010)
Integers
G. S. Kazandzidis (1969)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Iannucci, Douglas E., Mintos, Alexia S. (2005)
Integers