Adapting the slice rank method yields that sets in F_q^n without 3-APs with differences in S^n have size at most q^{(1-ε_q)n} when |S|>(q+1)/2 and q is an odd prime power.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CO 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
A note on arithmetic progressions with restricted differences
Adapting the slice rank method yields that sets in F_q^n without 3-APs with differences in S^n have size at most q^{(1-ε_q)n} when |S|>(q+1)/2 and q is an odd prime power.