On small fractional parts of perturbed polynomials
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Publication:5082487
DOI10.1142/S1793042122500853OpenAlexW3205611645WikidataQ114071812 ScholiaQ114071812MaRDI QIDQ5082487
Publication date: 16 June 2022
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.04167
Estimates on exponential sums (11L07) Small fractional parts of polynomials and generalizations (11J54) Sums over primes (11L20)
Cites Work
- Unnamed Item
- Uniform distribution of prime powers and sets of recurrence and van der Corput sets in \(\mathbb{Z}^k\)
- The Pjateckii-Sapiro prime number theorem
- Small fractional parts of polynomials
- Small values of \(n^ 2\alpha\pmod 1\)
- On small fractional parts of polynomial-like functions
- On the Vinogradov mean value
- A new \(k\)th derivative estimate for exponential sums via Vinogradov's mean value
- A hybrid of two theorems of Piatetski-Shapiro
- MULTIDIMENSIONAL VAN DER CORPUT SETS AND SMALL FRACTIONAL PARTS OF POLYNOMIALS
- Weyl Sums and Diophantine Approximation
- Trigonometric sums over primes I
- The application of a new mean value theorem to the fractional parts of polynomials
- FRACTIONAL PARTS OF POLYNOMIALS OVER THE PRIMES. II
- FRACTIONAL PARTS OF POLYNOMIALS OVER THE PRIMES