TY - MGZN
AU - Rue, J.
AU - Spiegel, C.
T2 - Electronic notes in discrete mathematics
Y1 - 2018
VL - 68
IS - July 2018
SP - 101
EP - 106
DO - 10.1016/j.endm.2018.06.018
UR - https://www.sciencedirect.com/science/article/pii/S1571065318301094
AB - We prove that for pairwise co-prime numbers k1,...,kd = 2 there does not exist
any infinite set of positive integers A such that the representation function rA(n) =
#{(a1,...,ad) ¿ Ad : k1a1 + ... + kdad = n} becomes constant for n large enough.
This result is a particular case of our main theorem, which poses a further step
towards answering a question of S´ark¨ozy and S´os and widely extends a previous
result of Cilleruelo and Ru´e for bivariate linear forms (Bull. of the London Math.
Society 2009).
TI - On a problem of Sárközy and Sós for multivariate linear forms
ER -