Restriction estimates with sifted integers

2025/12/25 by Tanmoy Bera, G. K. Viswanadham, Bera, Tanmoy +1
Mathematics · #11L07 #11N36 #Advanced Harmonic Analysis Research #Analytic Number Theory Research #FOS: Mathematics #Limits and Structures in Graph Theory #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2512.21640

openalex publication_date 2025/12/25 · openalex created_date 2025/12/30 · openalex updated_date 2026/07/28

Abstract

Let P be a subset of primes and for each prime p∈ P, consider a subset L_p of ℤ/pℤ. We provide restriction estimates with integers ≤ N sifted by (L_p)_\substackp≤ z p∈ P. This generalizes a result of Green-Tao [3] on the restriction estimates.

Citations

• The trigonometric polynomial on sums of two squares, an additive problem and generalisation
• Cusps of primes in dense subsequences -- Bypassing the W-trick
• Notes on restriction theory in the primes
• Restriction theory of the Selberg sieve, with applications
• Roth's theorem in the primes

Related

• Notes on restriction theory in the primes
• Restriction theory of the Selberg sieve, with applications
• Polynomial values modulo primes on average and sharpness of the larger sieve
• An inequality related to the sieve of Eratosthenes
• When the sieve works II