Systems of odd-degree forms in s variables (s large depending on R and d) have at least C N^{s-D} / (log N)^s almost-prime solutions in large boxes.
Diophantine equations in the primes.Inventiones Mathematicae, 198(3):701–737, 2014
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
On almost primes solutions to forms of odd degrees in many variables
Systems of odd-degree forms in s variables (s large depending on R and d) have at least C N^{s-D} / (log N)^s almost-prime solutions in large boxes.