Exponential sums over primes in short intervals

Bingrong Huang*, Zhiwei Wang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Let A(n) be the von Mangoldt function, x real and 2 ≤ y ≤ x. This paper improves the estimate on the exponential sum over primes in short intervals. Sk(x,y;α)=∑x<n≤x+y A(n)e(nkα) when k≥ 4 for all α ∈ [0, 1]. And then combined with the Hardy-Littlewood method, this enables us to give some short interval variants of Hua's theorems in additive prime number theory.

Original languageEnglish
Pages (from-to)204-219
Number of pages16
JournalJournal of Number Theory
StatePublished - 1 Mar 2015
Externally publishedYes


  • Exponential sums
  • Short intervals
  • Von Mangoldt function


Dive into the research topics of 'Exponential sums over primes in short intervals'. Together they form a unique fingerprint.

Cite this