Complex Arithmetic Patterns Behind Numbers: The inner working of an evolving Universe

Complex Arithmetic Patterns Behind Numbers Among other things this book contains: • The proof of Riemann Hypothesis – see Chapters 9, 14 and 15 or Chapters 1, 7,8 and 18; • A new proof for the Prime Number Theorem – see Chapters 9 and 14; • A proof that the number of twin primes is equal with the number of primes that differ by 4 – see Chapter 3; • A recursive method of generating prime numbers – see Chapters 2 and 6; • A recursive method of generating the histogram of the gaps between primes – see Chapter 2; • A recursive method of finding the big gaps between primes – see Chapter 4; • An explanation of the connection between the prime numbers and the singularities of the Abelian functions – see Chapters 7, 8 and 18; and • An extension of the concept of the conformal mapping to the transformations suffered by the multiple extended manifolds when new singularities are introduced – see Chapter 17.