@article{bwmeta1.element.bwnjournal-article-aav92i2p131bwm, author = {Wolfgang Jenkner}, title = {Asymptotic aspects of the Diophantine equation $p^{k}x^{nk} - z^{k} = l$ }, journal = {Acta Arithmetica}, volume = {92}, year = {2000}, pages = {131-140}, zbl = {0999.11056}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav92i2p131bwm} }
Wolfgang Jenkner. Asymptotic aspects of the Diophantine equation $p^{k}x^{nk} - z^{k} = l$ . Acta Arithmetica, Tome 92 (2000) pp. 131-140. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav92i2p131bwm/
[000] [1] D. Clark, An arithmetical function associated with the rank of elliptic curves, Canad. Math. Bull. 34 (1991), 181-185. | Zbl 0695.14014
[001] [2] A. Erdélyi, Asymptotic Expansions, Dover, New York, 1956. | Zbl 0070.29002
[002] [3] M. N. Huxley, Area, Lattice Points and Exponential Sums, Clarendon Press, Oxford, 1996.
[003] [4] W. Jenkner, On divisors whose sum is a square, Acta Arith. 90 (1999), 113-120. | Zbl 0933.11009
[004] [5] E. Krätzel, Lattice Points, Kluwer, Dordrecht, 1988.
[005] [6] E. Krätzel, Mittlere Darstellungen natürlicher Zahlen als Differenz zweier k-ter Potenzen, Acta Arith. 16 (1969), 111-121. | Zbl 0201.05003
[006] [7] G. Kuba, A mean value theorem on differences of two k-th powers of numbers in residue classes, Manuscripta Math. 72 (1991), 213-222. | Zbl 0735.11047
[007] [8] W. Müller and W. G. Nowak, On a mean-value theorem concerning differences of two k-th powers, Tsukuba J. Math. 13 (1989), 23-29. | Zbl 0687.10033