On a conjecture of Sun about sums of restricted squares

DOI10.1016/j.jnt.2023.09.004arXiv2202.04057OpenAlexW4388073111MaRDI QIDQ6184612

Soumyarup Banerjee

Publication date: 25 January 2024

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.04057

zbMATH Keywords

sums of squarestheta functionquadratic formssieve theoryalmost prime numbers

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Waring's problem and variants (11P05) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Forms of half-integer weight; nonholomorphic modular forms (11F37) Applications of sieve methods (11N36) Holomorphic modular forms of integral weight (11F11)

Cites Work

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• Uniform bounds for Fourier coefficients of theta-series with arithmetic applications
• Finiteness theorems for universal sums of squares of almost primes
• Gauss's three squares theorem with almost prime variables
• A THREE SQUARES THEOREM WITH ALMOST PRIMES

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