@article{CohnElkies2003,
  author  = {Cohn, Henry and Elkies, Noam},
  title   = {New upper bounds on sphere packings {I}},
  journal = {Annals of Mathematics},
  volume  = {157},
  number  = {2},
  year    = {2003},
  pages   = {689--714},
  doi     = {10.4007/annals.2003.157.689},
  url     = {https://annals.math.princeton.edu/2003/157-2/p09}
}

@article{Hales2000,
  author  = {Hales, Thomas C.},
  title   = {Cannonballs and honeycombs},
  journal = {Notices of the American Mathematical Society},
  volume  = {47},
  number  = {4},
  year    = {2000},
  pages   = {440--449},
  url     = {https://www.ams.org/notices/200004/fea-hales.pdf}
}

@article{Viazovska2017,
  author  = {Viazovska, Maryna S.},
  title   = {The sphere packing problem in dimension 8},
  journal = {Annals of Mathematics},
  volume  = {185},
  number  = {3},
  year    = {2017},
  pages   = {991--1015},
  doi     = {10.4007/annals.2017.185.3.7},
  url     = {https://annals.math.princeton.edu/2017/185-3/p07}
}

@article{CKMRV2017,
  author  = {Cohn, Henry and Kumar, Abhinav and Miller, Stephen D. and
             Radchenko, Danylo and Viazovska, Maryna},
  title   = {The sphere packing problem in dimension 24},
  journal = {Annals of Mathematics},
  volume  = {185},
  number  = {3},
  year    = {2017},
  pages   = {1017--1033},
  doi     = {10.4007/annals.2017.185.3.8},
  url     = {https://annals.math.princeton.edu/2017/185-3/p08}
}

@article{Johansson2017,
  author  = {Johansson, Fredrik},
  title   = {{Arb}: Efficient arbitrary-precision midpoint-radius interval arithmetic},
  journal = {IEEE Transactions on Computers},
  volume  = {66},
  number  = {8},
  year    = {2017},
  pages   = {1281--1292},
  doi     = {10.1109/TC.2017.2690633},
  url     = {https://arxiv.org/abs/1611.02831v1}
}

@article{RadchenkoViazovska2019,
  author = {Radchenko, Danylo and Viazovska, Maryna},
  title = {Fourier interpolation on the real line},
  journal = {Publications Math{\'e}matiques de l'IH{\'E}S},
  volume = {129}, pages = {51--81}, year = {2019},
  doi = {10.1007/s10240-018-0101-z},
  note = {The cited theorem numbering follows arXiv:1701.00265v2},
  url = {https://arxiv.org/abs/1701.00265v2}
}

@article{CKMRV2022,
  author = {Cohn, Henry and Kumar, Abhinav and Miller, Stephen D. and
            Radchenko, Danylo and Viazovska, Maryna},
  title = {Universal optimality of the {$E_8$} and {Leech} lattices and interpolation formulas},
  journal = {Annals of Mathematics},
  volume = {196}, number = {3}, pages = {983--1082}, year = {2022},
  doi = {10.4007/annals.2022.196.3.3},
  note = {The cited theorem numbering follows arXiv:1902.05438v3},
  url = {https://arxiv.org/abs/1902.05438v3}
}

@misc{Sardari2021,
  author = {Talebizadeh Sardari, Naser},
  title = {Higher {Fourier} interpolation on the plane},
  year = {2021},
  eprint = {2102.08753}, archivePrefix = {arXiv}, primaryClass = {math.NT},
  note = {Version 2, May 4, 2021},
  url = {https://arxiv.org/abs/2102.08753v2}
}

@article{TitiGarloff2019,
  author = {Titi, Jihad and Garloff, J{\"u}rgen},
  title = {Matrix methods for the tensorial {Bernstein} form},
  journal = {Applied Mathematics and Computation},
  volume = {346}, pages = {254--271}, year = {2019},
  doi = {10.1016/j.amc.2018.08.049},
  url = {https://www-home.htwg-konstanz.de/~garloff/AMC-2.pdf}
}

@misc{Zhitniaia2026,
  author = {Zhitniaia, Daria},
  title = {Linear Programming Bound for Sphere Packing in Dimension 2},
  year = {2026},
  howpublished = {Bachelor's thesis, Faculty of Mathematics, HSE University},
  note = {Institutional abstract; full thesis unavailable in the inspected record},
  url = {https://www.hse.ru/en/edu/vkr/1163516275}
}

@article{CarneiroLittmannVaaler2013,
  author = {Carneiro, Emanuel and Littmann, Friedrich and Vaaler, Jeffrey D.},
  title = {Gaussian subordination for the {Beurling--Selberg} extremal problem},
  journal = {Transactions of the American Mathematical Society},
  volume = {365}, number = {7}, pages = {3493--3534}, year = {2013},
  doi = {10.1090/S0002-9947-2013-05716-9},
  url = {https://arxiv.org/abs/1008.4969v2}
}

@article{Waldvogel2006,
  author  = {Waldvogel, J{\"o}rg},
  title   = {{Fast Construction of the Fej{\'e}r and Clenshaw--Curtis Quadrature Rules}},
  journal = {BIT Numerical Mathematics},
  year    = {2006},
  volume  = {46},
  number  = {1},
  pages   = {195--202},
  doi     = {10.1007/s10543-006-0045-4},
  url     = {https://people.math.ethz.ch/~waldvoge/Papers/fejer.pdf}
}