On the structure of sets which have coinciding representation functions
For a set of nonnegative integers $ A $, denote by $ R_ {A}(n) $ the number of unordered
representations of the integer $ n $ as the sum of two different terms from $ A $. In this paper …
representations of the integer $ n $ as the sum of two different terms from $ A $. In this paper …
An extension of Nathanson's Theorem on representation functions
E Rozgonyi, C Sándor - Combinatorica, 2017 - Springer
For a given integer n and a set S⊆ N denote by R h, S (1) the number of solutions of the
equation n= s_ i_1+...+ s_ i_h, s_ i_j ∈ S, j= 1,..., hn= si 1+...+ sih, sij∈ S, j= 1,..., h. In this …
equation n= s_ i_1+...+ s_ i_h, s_ i_j ∈ S, j= 1,..., hn= si 1+...+ sih, sij∈ S, j= 1,..., h. In this …
On a partition problem of finite abelian groups
Z Qu - Bulletin of the Australian Mathematical Society, 2015 - cambridge.org
Let G be a finite abelian group and A⊆ G. For n∈ G, denote by rA (n) the number of ordered
pairs (a1, a2)∈ A2 such that a1+ a2= n. Among other things, we prove that for any odd …
pairs (a1, a2)∈ A2 such that a1+ a2= n. Among other things, we prove that for any odd …
Some problems related to the additive representation functions
E Rozgonyi - 2015 - search.proquest.com
This thesis was devoted to the different properties of the additive representation functions
and related problems just like Sidon sequences, additive complement sets etc. We can say …
and related problems just like Sidon sequences, additive complement sets etc. We can say …