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…
Category: Number theory
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…
Upper bound for maximum distance between consecutive spaces
Prerequisite: Characterization of spaces General aspects One of the still open problems of dashed line theory is, given a linear…
Proof strategy based on spaces
Prerequisite: Our proof strategies The proof strategy shown here is aimed at proving the Hypothesis H.1 (Hypothesis of existence of…
Our proof strategies: an overview
Prerequisites: Goldbach’s conjecture From prime numbers to dashed lines Periodicity and symmetry in linear dashed lines As already stated, our…
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