EXPONENTIAL SUMS OVER PRIMES IN SHORT INTERVALS AND AN APPLICATION TO THE WARING–GOLDBACH PROBLEM

DOI10.1112/S0025579315000352zbMath1407.11095arXiv1412.2743OpenAlexW1905008387MaRDI QIDQ2810738

Bingrong Huang

Publication date: 6 June 2016

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.2743

zbMATH Keywords

Waring-Goldbach problemvon Mangoldt functionexponential sums over primes

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of the Hardy-Littlewood method (11P55) Sums over primes (11L20)

Related Items (5)

Quantitative relations between short intervals and exceptional sets of cubic Waring-Goldbach problem ⋮ On sums of powers of almost equal primes ⋮ Waring-Goldbach problem for fourth powers with almost equal variables ⋮ Möbius disjointness for nilsequences along short intervals ⋮ On sums of biquadratic powers with almost equal primes

Cites Work

• On Weyl sums over primes and almost primes
• On exponential sums over primes in short intervals
• Estimation of exponential sums over primes in short intervals. I
• On the Waring-Goldbach Problem for Fourth and Fifth Powers
• Nonembeddability into a Fixed Sphere for a Family of Compact Real Algebraic Hypersurfaces
• The asymptotic formula for localized solutions in Waring's problem and approximations to Weyl sums
• On the representation of large odd integer as a sum of three almost equal primes
• ON WEYL SUMS OVER PRIMES IN SHORT INTERVALS
• Exponential sums over primes in short intervals
• Exponential sums over primes in short intervals
• On the difference between consecutive primes

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