@article{18822,
  abstract     = {Let N(X) be the number of integral zeros (mathematical equation). Works of Hooley and Heath-Brown imply (mathematical equation), if one assumes automorphy and grand Riemann hypothesis for certain Hasse–Weil L-functions. Assuming instead a natural large sieve inequality, we recover the same bound on N(X). This is part of a more general statement, for diagonal cubic forms in (mathematical equation) variables, where we allow approximations to Hasse–Weil L-functions.},
  author       = {Wang, Victor},
  issn         = {2041-7942},
  journal      = {Mathematika},
  number       = {1},
  publisher    = {London Mathematical Society},
  title        = {{Diagonal cubic forms and the large sieve}},
  doi          = {10.1112/mtk.70008},
  volume       = {71},
  year         = {2025},
}

@article{17323,
  abstract     = {We investigate strong divisibility sequences and produce lower and upper bounds for the density of integers in the sequence that only have (somewhat) large prime factors. We focus on the special cases of Fibonacci numbers and elliptic divisibility sequences, discussing the limitations of our methods. At the end of the paper, there is an appendix by Sandro Bettin on divisor closed sets that we use to study the density of prime terms that appear in strong divisibility sequences.},
  author       = {Browning, Timothy D and Verzobio, Matteo},
  issn         = {2041-7942},
  journal      = {Mathematika},
  number       = {4},
  publisher    = {London Mathematical Society},
  title        = {{Strong divisibility sequences and sieve methods}},
  doi          = {10.1112/mtk.12269},
  volume       = {70},
  year         = {2024},
}