An extension of Nathanson's Theorem on representation functions

作者：Rozgonyi Eszter^*; Sandor Csaba

来源：Combinatorica, 2017, 37(3): 521-537.

DOI：10.1007/s00493-015-3311-8

For a given integer n and a set S aS dagger N denote by R (h,S) ((1)) the number of solutions of the equation . In this paper we determine all pairs (A;B), A,B aS dagger N for which R (h,A) ((1))(n) = R (h,B) ((1))(n) from a certain point on, where h is a power of a prime. We also discuss the composite case.

• 出版日期2017-6