The Erdős-Fuchs theorem on the square of a power series. (English) Zbl 0353.10041


11B34 Representation functions
11B13 Additive bases, including sumsets
11N37 Asymptotic results on arithmetic functions
Full Text: DOI


[1] Bateman, P. T.; Kohlbecker, E. E.; Tull, J. P., On a theorem of Erdös and Fuchs in additive number theory, (Proc. Amer. Math. Soc., 14 (1963)), 278-284 · Zbl 0112.27405
[2] Erdös, P.; Fuchs, W. H.J, On a problem of additive number theory, J. London Math. Soc., 31, 67-73 (1956) · Zbl 0070.04104
[3] Halberstam, H.; Roth, K. F., (Sequences, Vol. I (1966), Oxford Univ. Press: Oxford Univ. Press London/New York), 97-106 · Zbl 0141.04405
[4] Vaughan, R. C., On addition of sequences of integers, J. Number Theory, 4, 1-16 (1972) · Zbl 0226.10058
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