Computer-Assisted Proofs in the Arithmetic of Quadratic Forms - IPAM at UCLA

Computer-Assisted Proofs in the Arithmetic of Quadratic Forms - IPAM at UCLA

Institute for Pure & Applied Mathematics (IPAM) via YouTube Direct link

Modular Forms

10 of 14

10 of 14

Modular Forms

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Computer-Assisted Proofs in the Arithmetic of Quadratic Forms - IPAM at UCLA

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  1. 1 Intro
  2. 2 Overview
  3. 3 Definitions of Quadratic Forms
  4. 4 Equivalence of Quadratic Forms
  5. 5 Classical Questions in Quadratic Forms
  6. 6 Numbers Represented by a (PDIV) QF
  7. 7 General Local-Global Principle
  8. 8 Quantitative Local-Global and Siegel's Formula
  9. 9 Understanding Theta Series Coefficients
  10. 10 Modular Forms
  11. 11 Tactic Part 1: Eisenstein Lower Bounds
  12. 12 Cusp Form Upper Bounds
  13. 13 Tactic Part 3: Finite Enumeration
  14. 14 4. Ingredients in a Formal proof of Q(Z)?

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