It is proved that there is no Sidon set selected from {1, 2, ... , N} whose sum set contains c(1)N(1/2) consecutive integers, but it may contain c(2)N(1/3) consecutive integers. Moreover, it is shown that a finite Sidon set cannot be well-covered by generalized arithmetic progressions.
机构:
Univ Illinois, Dept Math Sci, Urbana, IL USA
Moscow Inst Phys & Technol, 9 Inst Skiy Per, Dolgoprodny 141701, Moscow Region, RussiaUniv Illinois, Dept Math Sci, Urbana, IL USA
Balogh, Jozsef
Li, Lina
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机构:
Univ Illinois, Dept Math, Urbana, IL 61801 USAUniv Illinois, Dept Math Sci, Urbana, IL USA
Li, Lina
ACTA SCIENTIARUM MATHEMATICARUM,
2021,
87
(1-2):
: 3
-
21