X. Cao and W. Zhai, The distribution of square-free numbers of the form n c, J. Th. Nombres Bordeaux, vol.10, pp.287-299, 1998.

X. Cao and W. Zhai, On the distribution of square-free numbers of the form n c (II) (in Chinese), Acta Math. Sinica, vol.51, pp.1187-1194, 2008.

J. Deshouillers, Sur la répartition des nombres, C. R. Acad. Sc. Paris, vol.277, pp.647-650, 1973.

S. W. Graham and G. Kolesnik, van der Corput's method of exponential sums, LMS Lecture Note Series, vol.126, 1991.

H. L. Montgomery, Ten lectures on the interface between analytic number theory and harmonic analysis, CBMS Number, vol.84, 1994.

I. I. Piatetski-shapiro, On the distribution of prime numbers in sequences of the form, Mat. Sbornik N.S, vol.33, issue.75, pp.559-566, 1953.

G. J. Rieger, Uber die natürlischen und primen Zahlen der Gestalt, arithmetischer Progression, pp.35-44, 1967.

G. J. Rieger, Remark on a paper of Stux concerning squarefree numbers in non-linear sequences, Pacific J. Math, vol.78, pp.241-242, 1978.

B. I. Segal, On a theorem analogous to Waring's theorem (in Russian), Dokl. Akad. Nauk. SSSR, vol.2, pp.47-49, 1933.

A. Somayajulu, Distribution of natural numbers and prime numbers (in arithmetic progressions) in sequences of the form, p.507, 1971.

I. E. Stux, Distribution of squarefree integers in non-linear sequences, Pacific J. Math, vol.59, pp.577-584, 1975.
DOI : 10.2140/pjm.1975.59.577

URL : http://msp.org/pjm/1975/59-2/pjm-v59-n2-p28-s.pdf

M. Zhang and J. Li, Distribution of cube-free numbers with form, Front. Math. China, vol.277, pp.1515-1525, 2017.
DOI : 10.1007/s11464-017-0652-1

URL : http://arxiv.org/pdf/1702.00165

J. Deshouillers,

F. E. Talence,