Papers

The papers are listed in reversed chronological order according to the publication year.

20. (with W. Xu) A robust version of Freiman's 3k-4 Theorem and applications.
          Submitted. pdf


19. (with A. Granville) When does the Bombieri-Vinogradov Theorem hold for a given multiplicative function?
         Forum Math. Sigma 6 (2018), e15, 23 pp. pdf


18. (with S. Drappeau and A. Granville) Smooth-supported multiplicative functions in arithmetic progressions beyond the x^{1/2}-barrier.
         Mathematika 63 (2017), no. 3, 895--918. pdf


17. (with A. Granville) Bombieri-Vinogradov for multiplicative functions, and beyond the x^{1/2}-barrier.
          Submitted. pdf


16. (with K. Matomäki and J. Maynard) Vinogradov's theorem with almost equal summands.
         Proc. Lond. Math. Soc. (3) 115 (2017), no. 2, 323-347. pdf


15. (with B. B. Bhattacharya, S. Ganguly, and Y. Zhao) Upper tails for arithmetic progressions in a random set.
          Submitted. pdf


14. (with K. Matomäki) When the sieve works II.
          Submitted. pdf


13. Gowers norms of multiplicative functions in progressions on average.
         Algebra Number Theory 11, 961-982 (2017). pdf


12. Narrow arithmetic progressions in the primes.
         Int. Math. Res. Not. IMRN, 391-428 (2017). pdf


11. (with K. Matomäki) Vinogradov's three primes theorem with almost twin primes.
         Compos. Math. 153, 1220-1256 (2017). pdf


10. (with S. Drappeau) Weyl sums, mean value estimates, and Waring's problem with friable numbers.
         Acta Arith. 176, 249-299 (2016). pdf


9. On an inverse ternary Goldbach problem.
        Amer. J. Math. 138, 1167-1191 (2016). pdf


8. Polynomial values modulo primes on average and sharpness of the larger sieve.
        Algebra Number Theory 9, 2325-2346 (2015). pdf


7. Character sums over unions of intervals.
        Forum Math. 27, 3017-3026 (2015). pdf


6. Finding linear patterns of complexity one.
        Int. Math. Res. Not. IMRN, 2311-2327 (2015). pdf


5. An L-function-free proof of Vinogradov's three primes theorem.
        Forum Math. Sigma 2, e27, 26 pp (2014). pdf


4. (with P. Diaconis and K. Soundararajan) Carries, group theory, and additive combinatorics.
        Amer. Math. Monthly 121, 674-688 (2014). pdf


3. Large values of the additive energy in R^d and Z^d.
        Math. Proc. Cambridge Philos. Soc. 156, 327-341 (2014). pdf


2. A density version of the Vinogradov three primes theorem.
        Duke Math. J. 163, 489-512 (2014). pdf


1. On character sums and exponential sums over generalized arithmetic progressions.
        Bull. Lond. Math. Soc. 45, 541-550 (2013). pdf