18. The integral mean value and the absolute error function R
In this post we'll apply the mean value Theorem for integrals in order to transform what we know about the…
Category: Number theory
Origins of the two Goldbach’s conjectures
Background Europe, 18th century. While the Western powers were all a flourishing of industries, cultural exchanges and scientific discoveries, the…
17. The functions W and V
The general idea of the Prime Number Theorem proof consists in starting from the proof of Chebyshev's Theorem (strong version),…
16. The prime number Theorem: history and statement
Looking at a prime numbers table, it's very simple to notice how their distribution seems to escape any regularity; instead…
15. Chebyshev’s Theorem: strong version
In this post we'll revisit Chebyshev's Theorem, according to which the function π(x), that counts the number of prime numbers…
13. The factorial function and the Lambda* function
Almost certainly you already know the factorial function, indicated by x!, which is read as "x factorial" and for an…
12. From integer numbers to real numbers – second part
In this post we'll see a technique that will let us overestimate or underestimate a value assumed by a function…
Calculation of t_value for dashed lines of arbitrary order
Prerequisites: Dashed line theory definitions and symbols Computation of a dash value in a linear third order dashed line First…
Proof strategy based on factorization
Prerequisites: Our proof strategies Factorization dashed lines Properties of the spaces of the factorization dashed lines can be used to…
Study of existence of complementary space pairs based on dashed line of second order
Prerequisites: Dashed line theory definitions and symbols Our proof strategies Proof strategy based on dashes Characterization of spaces The purpose…
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