Home
Papers
CV
Personal

Kaisa Matomäki -- Publications

Here you can download most of my papers. The papers are listed in reversed chronological order according to the publication year. In most cases, the linked pdf files are my own versions which might differ from the actual published articles. The published version can often be obtained by following the link to the journal's homepage. If not, I am happy to send a reprint.
  1. (with J. Teräväinen) Almost primes in almost all short intervals II.
          Submitted arXiv,
  2. (with X. Shao, T. Tao and J. Teräväinen) Higher uniformity of arithmetic functions in short intervals I. All intervals.
          Submitted arXiv,
  3. (with J. Merikoski) Siegel zeros, twin primes, Goldbach's conjecture, and primes in short intervals
          Submitted. arXiv
  4. (with M. Radziwill, X. Shao, T. Tao and J. Teräväinen) Singmaster's conjecture in the interior of Pascal's triangle
          Quart. J. Math., to appear. arXiv, Link to the publisher
  5. Almost primes in almost all very short intervals
          J. Lond. Math. Soc., to appear. arXiv, Link to the publisher
  6. (with M. Radziwill, T. Tao, J. Teräväinen and T. Ziegler) Higher uniformity of bounded multiplicative functions in short intervals on average
          Ann. of Math., to appear. arXiv
  7. (with M. Radziwill) Multiplicative functions in short intervals II
          Pre-print. arXiv
  8. (with O. Gorodetsky, M. Radziwill and B. Rodgers) On the variance of squarefree integers in short intervals and arithmetic progressions
          Geom. Funct. Anal., 31, 111--149 (2021). arXiv Link to the publisher
  9. (with J. Teräväinen) On the Möbius function in all short intervals
          J. Eur. Math. Soc., to appear. arXiv, Link to the publisher
  10. (with X. Shao) Discorrelation between primes in short intervals and polynomial phases
          Int. Math. Res. Not., 2021, 12330--12355 (2021). arXiv Link to the publisher
  11. (with M. Radziwill and T. Tao) Fourier uniformity of bounded multiplicative functions in short intervals on average
          Invent. Math., 220, 1--58 (2020). arXiv, Link to the publisher
  12. (with X. Shao) When the sieve works II.
          J. Reine Angew. Math., 763, 1--24 (2020). arXiv, Link to the publisher
  13. (with M. Radziwill and T. Tao) Correlations of the von Mangoldt and higher divisor functions II. Divisor correlations in short ranges.
          Math. Ann., 374, 793--840 (2019). arXiv, Link to the publisher
  14. (with M. Radziwill and T. Tao) Correlations of the von Mangoldt and higher divisor functions I. Long shift ranges.
          Proc. Lond. Math. Soc. 118, 284--350 (2019). arXiv, Link to the publisher
  15. (with S. Lester and M. Radziwill) Small scale distribution of zeros and mass of modular forms.
          J. Eur. Math. Soc., 20, 1595--1627 (2018). arXiv, Link to the publisher
  16. (with J. Maynard and X. Shao) Vinogradov's theorem with almost equal summands.
          Proc. Lond. Math. Soc. 115, 327--347 (2017). arXiv, Link to the publisher
  17. (with X. Shao) Vinogradov's three primes theorem with almost twin primes.
          Compos. Math. 153, 1220--1256 (2017). arXiv, Link to the publisher
  18. (with M. Radziwill and T. Tao) Sign patterns of the Liouville and Möbius functions.
          Forum Math. Sigma 4, e14, 44 pp (2016). arXiv, Link to the publisher
  19. (with M. Radziwill) Multiplicative functions in short intervals.
          Ann. of Math. 183, 1015--1056 (2016). arXiv, Link to the publisher         (See also: A note on the Liouville function in short intervals (with M. Radziwill). arXiv)
  20. Another note on smooth numbers in short intervals.
          Int. J. Number Theory. 12, 323--340 (2016). Download, Link to the publisher
  21. Real zeros of holomorphic Hecke cusp forms and sieving short intervals.
          J. Eur. Math. Soc. 18, 123--146 (2016). Download, Link to the publisher
  22. (with M. Radziwill and T. Tao) An averaged form of Chowla's conjecture.
          Algebra & Number Theory. 9, 2167--2196 (2015). arXiv, Link to the publisher
  23. (with M. Radziwill) Sign changes of Hecke eigenvalues.
          Geom. Funct. Anal. 25, 1937--1955 (2015). arXiv, Link to the publisher
  24. (with A. Granville and D. Koukoulopoulos) When the sieve works.
          Duke Math. J. 164, 1935--1969 (2015). Download , Link to the publisher
  25. On sumsets of multisets in Z_p^m.
          Electron. J. Combin. 20, #P30 (2013). Download, Link to the publisher
  26. Sums of positive density subsets of the primes.
          Acta Arith. 159, 201-225 (2013). Download, Link to the publisher
  27. Carmichael numbers in arithmetic progressions.
          J. Aust. Math. Soc. 94, 268-275 (2013). Download***, Link to the publisher
  28. (with K. Saari), A new geometric approach to Sturmian words.
          Theoret. Comput. Sci. 432, 77-84 (2012) arXiv, Link to the publisher
  29. On the distribution of B-free numbers and non-vanishing Fourier coefficients of cusp forms.
          Glasg. Math. J. 54, 381-397 (2012) Download**, Link to the publisher
  30. On signs of Fourier coefficients of cusp forms.
         Math. Proc. Cambridge Philos. Soc. 152, 207-222 (2012) Download*, Link to the publisher
  31. (with A.-M. Ernvall-Hytönen, P. Haukkanen, and J. K. Merikoski) Formulas for the number of gridlines.
         Monatsh. Math. 164, 157-170 (2011) Download, Link to the publisher
  32. A note on signs of Kloosterman sums.
         Bull. Soc. Math. France 139, 287-295 (2011) Download, Link to the publisher
  33. A note on smooth numbers in short intervals.
         Int. J. Number Theory 6, 1113-1116 (2010) Download, Link to the publisher
  34. Prime-representing functions.
         Acta Math. Hungar. 128, 307-314 (2010) Download, Link to the publisher
  35. A note on the sum of the first n primes.
         Quart. J. Math. 61, 109-115 (2010). Download, Link to the publisher
  36. Diophantine approximation by primes.
         Glasg. Math. J. 52, 87-106 (2010). Download**, Link to the publisher
  37. The distribution of alpha p modulo one.
         Math. Proc. Cambridge Philos. Soc. 147, 267-283 (2009). Download*, Link to the publisher
  38. On the greatest prime factor of ab+1.
         Acta Math. Hungar. 124, 115-123 (2009). Download, Link to the publisher
  39. A Bombieri-Vinogradov type exponential sum result with applications.
         J. Number Theory 129, 2214-2225 (2009). Download, Link to the publisher
  40. A note on primes of the form p = aq^2 + 1.
         Acta Arith. 137, 133-137 (2009). Download, Link to the publisher
  41. On the exceptional set in Goldbach's problem in short intervals.
         Monatsh. Math. 155, 167-189 (2008). Link to the publisher
  42. (with G. Harman) Some problems of analytic number theory on arithmetic semigroups.
          Funct. Approx. Comment. Math. 38, 21-40 (2008). Link to the publisher
  43. The binary Goldbach problem with one prime of the form p = k^2 + l^2 + 1,
          J. Number Theory 128, 1195-1210 (2008). Download, Link to the publisher
  44. Large differences between consecutive primes.
          Quart. J. Math. 58, 489-518 (2007). Download, Link to the publisher
  45. Prime numbers of the form p = m^2+n^2+1 in short intervals.
         Acta Arith. 128, 193-200 (2007). Download, Link to the publisher
* Copyright belongs to Cambridge Philosophical Society
** Copyright belongs to Glasgow Mathematical Journal Trust
*** Copyright belongs to Australian Mathematical Publishing Association