Formal & Physical Sciences MathematicsENThe Oldest Unsolved Problem in MathVeritasiumMarch 8, 2024 31 min★ ★ ★ ★ ★ 5/5Perfect NumbersNumber TheoryMersenne Primes
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 53. Three calculators for number theoristsRichard E BorcherdsApril 24, 2022 12 min★ ★ ★ ★ ☆ 4/5Number TheoryCalculatorsPrime Factorization
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 52. Nonvanishing of L series at s=1.Richard E BorcherdsApril 22, 2022 24 min★ ★ ★ ★ ★ 5/5Number TheoryDirichlet L-SeriesAnalytic Number Theory
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 51. Proof of Dirichlet's theoremRichard E BorcherdsApril 20, 2022 24 min★ ★ ★ ★ ★ 5/5Number TheoryDirichlet's TheoremL-Series
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 50. Dirichlet charactersRichard E BorcherdsApril 18, 2022 20 min★ ★ ★ ★ ★ 5/5Number TheoryDirichlet CharactersL-Functions
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 49. Dirichlet's theoremRichard E BorcherdsApril 16, 2022 35 min★ ★ ★ ★ ★ 5/5Number TheoryDirichlet's TheoremDirichlet Characters
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 48 Proof of the prime number theoremRichard E BorcherdsApril 14, 2022 17 min★ ★ ★ ★ ★ 5/5Prime Number TheoremNumber TheoryRiemann Zeta Function
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 47. The prime number theoremRichard E BorcherdsApril 12, 2022 27 min★ ★ ★ ★ ★ 5/5Prime Number TheoremAnalytic Number TheoryRiemann Zeta Function
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 46. Products of Dirichlet seriesRichard E BorcherdsApril 10, 2022 17 min★ ★ ★ ★ ★ 5/5Dirichlet SeriesNumber TheoryMöbius Inversion
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 45 Dirichlet seriesRichard E BorcherdsApril 8, 2022 31 min★ ★ ★ ★ ★ 5/5Number TheoryDirichlet SeriesRiemann Zeta Function
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 44 Pythagorean trianglesRichard E BorcherdsApril 6, 2022 23 min★ ★ ★ ★ ★ 5/5Number TheoryPythagorean TriplesBinary Quadratic Forms
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 43 Gaussian integersRichard E BorcherdsApril 4, 2022 35 min★ ★ ★ ★ ★ 5/5Gaussian IntegersNumber TheorySums of Two Squares
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 42. Examples of indefinite binary quadratic forms.Richard E BorcherdsApril 2, 2022 22 min★ ★ ★ ★ ★ 5/5Number TheoryBinary Quadratic FormsIndefinite Forms
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 41: More examples of binary quadratic formsRichard E BorcherdsMarch 31, 2022 29 min★ ★ ★ ★ ★ 5/5Number TheoryBinary Quadratic FormsClass Numbers
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 40. Examples of positive definite formsRichard E BorcherdsMarch 29, 2022 28 min★ ★ ★ ★ ★ 5/5Number TheoryQuadratic FormsPositive Definite
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 39: Equivalence of binary quadratic formsRichard E BorcherdsMarch 27, 2022 22 min★ ★ ★ ★ ★ 5/5Number TheoryBinary Quadratic FormsEquivalence
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 38. Binary quadratic formsRichard E BorcherdsMarch 25, 2022 23 min★ ★ ★ ★ ★ 5/5Number TheoryBinary Quadratic FormsDiscriminant
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 37 Continued fractionsRichard E BorcherdsMarch 23, 2022 26 min★ ★ ★ ★ ★ 5/5Number TheoryContinued FractionsPell's Equation
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 36 Kronecker symbolRichard E BorcherdsMarch 21, 2022 21 min★ ★ ★ ★ ★ 5/5Kronecker SymbolNumber TheoryQuadratic Reciprocity
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 35 Jacobi symbolRichard E BorcherdsMarch 19, 2022 38 min★ ★ ★ ★ ★ 5/5Jacobi SymbolNumber TheoryQuadratic Reciprocity
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 34. Gauss sumsRichard E BorcherdsMarch 17, 2022 17 min★ ★ ★ ★ ★ 5/5Number TheoryGauss SumsQuadratic Reciprocity
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 33. Quadratic reciprocityRichard E BorcherdsMarch 15, 2022 32 min★ ★ ★ ★ ★ 5/5Number TheoryQuadratic ReciprocityLegendre Symbol
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 32. Calculation of the Legendre symbolRichard E BorcherdsMarch 13, 2022 28 min★ ★ ★ ★ ★ 5/5Number TheoryLegendre SymbolQuadratic Residues
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 31. Quadratic residues.Richard E BorcherdsMarch 11, 2022 32 min★ ★ ★ ★ ★ 5/5Number TheoryQuadratic ResiduesLegendre Symbol
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 30. Fields in number theoryRichard E BorcherdsMarch 9, 2022 24 min★ ★ ★ ★ ★ 5/5Number TheoryFieldsFinite Fields
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 29. Rings in number theoryRichard E BorcherdsMarch 7, 2022 38 min★ ★ ★ ★ ★ 5/5Number TheoryRingsIdeals
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 27. Groups and number theoryRichard E BorcherdsMarch 3, 2022 29 min★ ★ ★ ★ ★ 5/5Group TheoryNumber TheoryFermat's Theorem
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 26. Roots of polynomials modulo a prime.Richard E BorcherdsMarch 1, 2022 17 min★ ★ ★ ★ ★ 5/5Number TheoryPolynomialsModular Arithmetic
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 25. Quadratic equations mod p.Richard E BorcherdsFebruary 27, 2022 21 min★ ★ ★ ★ ★ 5/5Number TheoryQuadratic ResiduesSquare Roots
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 24. Primitive roots for prime powersRichard E BorcherdsFebruary 25, 2022 20 min★ ★ ★ ★ ★ 5/5Number TheoryPrimitive RootsPrime Powers
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 23. Primitive roots.Richard E BorcherdsFebruary 23, 2022 35 min★ ★ ★ ★ ★ 5/5Number TheoryPrimitive RootsModular Arithmetic
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 22. Chevalley-Warning theoremRichard E BorcherdsFebruary 21, 2022 16 min★ ★ ★ ★ ★ 5/5Number TheoryChevalley-Warning TheoremFinite Fields
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 21. Congruences modulo a prime.Richard E BorcherdsFebruary 19, 2022 38 min★ ★ ★ ★ ★ 5/5Number TheoryCongruencesPrime Numbers
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 20. p-adic numbers.Richard E BorcherdsFebruary 17, 2022 28 min★ ★ ★ ★ ★ 5/5Number TheoryP-Adic NumbersHensel's Lemma
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 19. Hensel and Newton's methodRichard E BorcherdsFebruary 15, 2022 31 min★ ★ ★ ★ ★ 5/5Number TheoryHensel's LemmaNewton's Method
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 18. CryptographyRichard E BorcherdsFebruary 13, 2022 37 min★ ★ ★ ★ ☆ 4/5Number TheoryCryptographyRSA
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 17. Factorization.Richard E BorcherdsFebruary 11, 2022 22 min★ ★ ★ ★ ★ 5/5Number TheoryFactorizationPollard's Rho
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 16. More numerical calculationRichard E BorcherdsFebruary 9, 2022 25 min★ ★ ★ ★ ☆ 4/5Number TheoryAlgorithmsModular Arithmetic
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 15. Numerical calculationRichard E BorcherdsFebruary 7, 2022 40 min★ ★ ★ ★ ★ 5/5Number TheoryAlgorithmsComplexity
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 14. Euler's totient functionRichard E BorcherdsFebruary 5, 2022 48 min★ ★ ★ ★ ★ 5/5Euler's TotientNumber TheoryMultiplicative Function
