@article{12406,
  abstract     = {Let X be a sufficiently large positive integer. We prove that one may choose a subset S of primes with cardinality O(logX) such that a positive proportion of integers less than X can be represented by x2+py2 for at least one p∈S.},
  author       = {Diao, Yijie},
  issn         = {1730-6264},
  journal      = {Acta Arithmetica},
  keywords     = {Algebra, Number Theory},
  pages        = {1--17},
  publisher    = {Instytut Matematyczny},
  title        = {{Density of the union of positive diagonal binary quadratic forms}},
  doi          = {10.4064/aa210830-24-11},
  volume       = {207},
  year         = {2023},
}

@article{12309,
  abstract     = {Take a rational elliptic curve defined by the equation y2=x3+ax in minimal form and consider the sequence Bn of the denominators of the abscissas of the iterate of a non-torsion point. We show that B5m has a primitive divisor for every m. Then, we show how to generalize this method to the terms of the form Bmp with p a prime congruent to 1 modulo 4.},
  author       = {Verzobio, Matteo},
  issn         = {0065-1036},
  journal      = {Acta Arithmetica},
  keywords     = {Algebra and Number Theory},
  number       = {2},
  pages        = {129--168},
  publisher    = {Institute of Mathematics, Polish Academy of Sciences},
  title        = {{Primitive divisors of elliptic divisibility sequences for elliptic curves with j=1728}},
  doi          = {10.4064/aa191016-30-7},
  volume       = {198},
  year         = {2021},
}