Number Theory

concepts · 6 notes linked

Related: Quanta Magazine · Algebraic Geometry · Markov Numbers · Irrational Approximation · Js Milne · Abstract Algebra · Leonhard Euler · Judea Pearl

Notes

• A Triplet Tree Forms One of the Most Beautiful Structures in Math | Quanta Magazine — Markov numbers, their triplet tree structure, and the uniqueness conjecture
• Course Notes -- J.S. Milne — Free graduate math course notes covering algebra through arithmetic geometry
• Pierre de Fermat's Link to a High School Student's Prime Math Proof | Quanta Magazine — Carmichael numbers as pseudoprime counterexamples to Fermat's little theorem
• Srinivasa Ramanujan Was a Genius. Math Is Still Catching Up. | Quanta Magazine — Rogers-Ramanujan partition identities resurface across modern mathematics branches
• Two Students Unravel a Widely Believed Math Conjecture | Quanta Magazine — Grad students disprove Apollonian circle packing local-global conjecture computationally
• Why Mathematicians Re-Prove What They Already Know | Quanta Magazine — Mathematicians repeatedly re-proving infinitude of prime numbers