Blueprint Bibliography🔗

Bibliography (5)

• Fred Diamond and Jerry Shurman, 2005. “A First Course in Modular Forms”. In Graduate Texts in Mathematics.
  Cited from (2)

  • Chapter 7: Modular Forms, Proof 7.18
  • Chapter 7: Modular Forms, Proof 7.21
• Henry Cohn and Noam Elkies (2003). “New upper bounds on sphere packings I”. Annals of Mathematics. 157(2), pp. 689–714.
  Cited from (6)

  • Chapter 6: Cohn-Elkies Bounds
  • Chapter 6: Cohn-Elkies Bounds
  • Chapter 6: Cohn-Elkies Bounds, Proof 6.1
  • Chapter 1: Overview
  • Chapter 2: Sphere Packings
  • Chapter 2: Sphere Packings
• Jean-Pierre Serre, 1973. “A Course in Arithmetic”. In Springer New York. (Graduate Texts in Mathematics)
  Cited from (1)

  • Chapter 7: Modular Forms, Proof 7.15
• Maryna S. Viazovska (2017). “The sphere packing problem in dimension 8”. Annals of Mathematics. 185(3), pp. 991–1015.
  Cited from (4)

  • Chapter 8: Fourier Eigenfunctions with Double Zeroes
  • Chapter 1: Overview
  • Chapter 2: Sphere Packings
  • Chapter 2: Sphere Packings
• Seewoo Lee, 2024. “Algebraic proof of modular form inequalities for optimal sphere packings”. arXiv:2406.14659
  Cited from (2)

  • Chapter 7: Modular Forms
  • Chapter 9: Proof of the Optimal Function Inequalities