TY - JOUR
T1 - A low-energy decomposition theorem
AU - Balog, Antal
AU - Wooley, Trevor
PY - 2017/3/21
Y1 - 2017/3/21
N2 - We prove that any finite set of real numbers can be split into two parts, one part being highly non-additive and the other highly non-multiplicative.
AB - We prove that any finite set of real numbers can be split into two parts, one part being highly non-additive and the other highly non-multiplicative.
KW - Sum-product estimates
KW - additive energy
KW - multiplicative energy
U2 - 10.1093/qmath/haw023
DO - 10.1093/qmath/haw023
M3 - Article
VL - 68
SP - 207
EP - 226
JO - Quarterly Journal of Mathematics
JF - Quarterly Journal of Mathematics
SN - 0033-5606
IS - 1
ER -