An asymptotic formula is given for the count of representations N = p1 + p2 + [n^c] under almost proportional summands constraints when H is sufficiently large and c satisfies specific non-integer conditions.
Short trigonometric sums with a non-integer power of a natural number
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
-
Generalized Estermann problem for non-integer powers with almost proportional summands
An asymptotic formula is given for the count of representations N = p1 + p2 + [n^c] under almost proportional summands constraints when H is sufficiently large and c satisfies specific non-integer conditions.