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Tag: integral mean value

End of the first part of the proof: the relationship between α and β’

End of the first part of the proof: the relationship between α and β’

Scritto il November 14, 2021February 7, 2022
Pubblicato inNumber theory
With this post we'll conclude the main part of the Prime Number Theorem proof, which is based on the relationship…
The integral mean value and the absolute error function R

The integral mean value and the absolute error function R

Scritto il September 28, 2020December 27, 2021
Pubblicato inNumber theory
In this post we'll apply the mean value Theorem for integrals in order to transform what we know about the…

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      • Home
      • Goldbach’s conjecture
        • Origins of the two Goldbach’s conjectures
        • Some important results
        • Other conjectures related to sums of primes
        • Our proof strategies
        • Our readers’ contributions
          • Send us a contribution
      • Number theory
        • Foundations of number theory
        • Bertrand’s Postulate
        • Chebyshev’s Theorem (weak version)
        • Chebyshev’s Theorem (strong version)
        • The Prime Number Theorem: the “elementary” proof
        • Complementary material
        • Fun facts
      • Dashed line theory
      • Tools
        • Dashed line viewer
        • Goldbach pairs viewer
        • Bidimensional sieve of Eratosthenes
        • Factorizer
        • Maximum space distance calculator
      • Info and contacts
        • About us
        • The project
        • Donations
        • Prizes
        • Send us a contribution
      • ItalianoItaliano