On Weyl sums over primes and almost primes AV Kumchev Michigan Mathematical Journal 54 (2), 243-268, 2006 | 90 | 2006 |

On an equation with prime numbers A Kumchev, T Nedeva Acta Arithmetica 83 (2), 117-126, 1998 | 56 | 1998 |

On sums of squares of primes G Harman, AV Kumchev Mathematical Proceedings of the Cambridge Philosophical Society 140 (1), 1-13, 2006 | 51 | 2006 |

A diophantine inequality involving prime powers A Kumchev Acta Arithmetica 89 (4), 311-330, 1999 | 47 | 1999 |

Mean values of Dirichlet polynomials and applications to linear equations with prime variables SKK Choi, AV Kumchev arXiv preprint math/0412227, 2004 | 40 | 2004 |

On Weyl sums over primes in short intervals AV Kumchev arXiv preprint arXiv:1112.0201, 2011 | 36 | 2011 |

On sums of squares of primes II G Harman, A Kumchev Journal of Number Theory 130 (9), 1969-2002, 2010 | 29 | 2010 |

An invitation to additive prime number theory AV Kumchev, DI Tolev arXiv preprint math/0412220, 2004 | 29 | 2004 |

On the distribution of prime numbers of the form [nc] A Kumchev Glasgow Mathematical Journal 41 (1), 85-102, 1999 | 28 | 1999 |

On sums of Ramanujan sums TH Chan, AV Kumchev arXiv preprint arXiv:1009.4432, 2010 | 25 | 2010 |

On the Waring–Goldbach problem: exceptional sets for sums of cubes and higher powers AV Kumchev Canadian Journal of Mathematics 57 (2), 298-327, 2005 | 25 | 2005 |

On the Piatetski-Shapiro-Vinogradov theorem A Kumchev Journal de théorie des nombres de Bordeaux 9 (1), 11-23, 1997 | 25 | 1997 |

On the Waring–Goldbach problem for seventh and higher powers AV Kumchev, TD Wooley Monatshefte für Mathematik 183, 303-310, 2017 | 24 | 2017 |

Improved -Boundedness for Integral -Spherical Maximal Functions TC Anderson, B Cook, K Hughes, A Kumchev arXiv preprint arXiv:1707.08667, 2017 | 19 | 2017 |

A binary additive equation involving fractional powers AV Kumchev arXiv preprint math/0605162, 2006 | 16 | 2006 |

On the Waring–Goldbach problem for eighth and higher powers AV Kumchev, TD Wooley Journal of the London Mathematical Society 93 (3), 811-824, 2016 | 15 | 2016 |

On sums of primes from Beatty sequences AV Kumchev arXiv preprint arXiv:0706.0943, 2007 | 14 | 2007 |

On a binary Diophantine inequality involving prime powers A Kumchev, MBS Laporta Number Theory for the Millennium 2, 307-329, 2002 | 14 | 2002 |

Hilbert transforms and the equidistribution of zeros of polynomials E Carneiro, MK Das, A Florea, AV Kumchev, A Malik, MB Milinovich, ... Journal of Functional Analysis 281 (9), 109199, 2021 | 13 | 2021 |

On sums of three squares SKK Choi, AV Kumchev, R Osburn International Journal of Number Theory 1 (02), 161-173, 2005 | 13 | 2005 |