Number theory

Thema PBH

178 tuit · page 3/5

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 53. Three calculators for number theorists

Richard E Borcherds

April 24, 2022 12 min

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Number TheoryCalculatorsPrime Factorization

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 52. Nonvanishing of L series at s=1.

Richard E Borcherds

April 22, 2022 24 min

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Number TheoryDirichlet L-SeriesAnalytic Number Theory

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 51. Proof of Dirichlet's theorem

Richard E Borcherds

April 20, 2022 24 min

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Number TheoryDirichlet's TheoremL-Series

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 50. Dirichlet characters

Richard E Borcherds

April 18, 2022 20 min

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Number TheoryDirichlet CharactersL-Functions

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 49. Dirichlet's theorem

Richard E Borcherds

April 16, 2022 35 min

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Number TheoryDirichlet's TheoremDirichlet Characters

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 48 Proof of the prime number theorem

Richard E Borcherds

April 14, 2022 17 min

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Prime Number TheoremNumber TheoryRiemann Zeta Function

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 47. The prime number theorem

Richard E Borcherds

April 12, 2022 27 min

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Prime Number TheoremAnalytic Number TheoryRiemann Zeta Function

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 46. Products of Dirichlet series

Richard E Borcherds

April 10, 2022 17 min

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Dirichlet SeriesNumber TheoryMöbius Inversion

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 45 Dirichlet series

Richard E Borcherds

April 8, 2022 31 min

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Number TheoryDirichlet SeriesRiemann Zeta Function

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 44 Pythagorean triangles

Richard E Borcherds

April 6, 2022 23 min

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Number TheoryPythagorean TriplesBinary Quadratic Forms

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 43 Gaussian integers

Richard E Borcherds

April 4, 2022 35 min

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Gaussian IntegersNumber TheorySums of Two Squares

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 42. Examples of indefinite binary quadratic forms.

Richard E Borcherds

April 2, 2022 22 min

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Number TheoryBinary Quadratic FormsIndefinite Forms

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 41: More examples of binary quadratic forms

Richard E Borcherds

March 31, 2022 29 min

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Number TheoryBinary Quadratic FormsClass Numbers

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 40. Examples of positive definite forms

Richard E Borcherds

March 29, 2022 28 min

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Number TheoryQuadratic FormsPositive Definite

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 39: Equivalence of binary quadratic forms

Richard E Borcherds

March 27, 2022 22 min

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Number TheoryBinary Quadratic FormsEquivalence

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 38. Binary quadratic forms

Richard E Borcherds

March 25, 2022 23 min

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Number TheoryBinary Quadratic FormsDiscriminant

$Introduction to number theory lecture 37 Continued fractions$

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 37 Continued fractions

Richard E Borcherds

March 23, 2022 26 min

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Number TheoryContinued FractionsPell's Equation

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 36 Kronecker symbol

Richard E Borcherds

March 21, 2022 21 min

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Kronecker SymbolNumber TheoryQuadratic Reciprocity

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 35 Jacobi symbol

Richard E Borcherds

March 19, 2022 38 min

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Jacobi SymbolNumber TheoryQuadratic Reciprocity

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 34. Gauss sums

Richard E Borcherds

March 17, 2022 17 min

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Number TheoryGauss SumsQuadratic Reciprocity

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 33. Quadratic reciprocity

Richard E Borcherds

March 15, 2022 32 min

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Number TheoryQuadratic ReciprocityLegendre Symbol

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 32. Calculation of the Legendre symbol

Richard E Borcherds

March 13, 2022 28 min

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Number TheoryLegendre SymbolQuadratic Residues

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 31. Quadratic residues.

Richard E Borcherds

March 11, 2022 32 min

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Number TheoryQuadratic ResiduesLegendre Symbol

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 30. Fields in number theory

Richard E Borcherds

March 9, 2022 24 min

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Number TheoryFieldsFinite Fields

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 29. Rings in number theory

Richard E Borcherds

March 7, 2022 38 min

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Number TheoryRingsIdeals

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 27. Groups and number theory

Richard E Borcherds

March 3, 2022 29 min

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Group TheoryNumber TheoryFermat's Theorem

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 26. Roots of polynomials modulo a prime.

Richard E Borcherds

March 1, 2022 17 min

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Number TheoryPolynomialsModular Arithmetic

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 25. Quadratic equations mod p.

Richard E Borcherds

February 27, 2022 21 min

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Number TheoryQuadratic ResiduesSquare Roots

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 24. Primitive roots for prime powers

Richard E Borcherds

February 25, 2022 20 min

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Number TheoryPrimitive RootsPrime Powers

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 23. Primitive roots.

Richard E Borcherds

February 23, 2022 35 min

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Number TheoryPrimitive RootsModular Arithmetic

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 22. Chevalley-Warning theorem

Richard E Borcherds

February 21, 2022 16 min

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Number TheoryChevalley-Warning TheoremFinite Fields

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 21. Congruences modulo a prime.

Richard E Borcherds

February 19, 2022 38 min

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Number TheoryCongruencesPrime Numbers

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 20. p-adic numbers.

Richard E Borcherds

February 17, 2022 28 min

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Number TheoryP-Adic NumbersHensel's Lemma

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 19. Hensel and Newton's method

Richard E Borcherds

February 15, 2022 31 min

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Number TheoryHensel's LemmaNewton's Method

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 18. Cryptography

Richard E Borcherds

February 13, 2022 37 min

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Number TheoryCryptographyRSA

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 17. Factorization.

Richard E Borcherds

February 11, 2022 22 min

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Number TheoryFactorizationPollard's Rho

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 16. More numerical calculation

Richard E Borcherds

February 9, 2022 25 min

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Number TheoryAlgorithmsModular Arithmetic

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 15. Numerical calculation

Richard E Borcherds

February 7, 2022 40 min

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Number TheoryAlgorithmsComplexity

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 14. Euler's totient function

Richard E Borcherds

February 5, 2022 48 min

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Euler's TotientNumber TheoryMultiplicative Function

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 13. The Chinese remainder theorem.

Richard E Borcherds

February 3, 2022 34 min

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Number TheoryChinese Remainder TheoremCongruences