Abstract
This article presents a alternative and simple proof to the Dirichlet's Theorem and a proof for the Goldbach's Strong Conjecture, using the Complex Wave Model and its properties. The Complex Wave Model allows the definition of an α function based on a sines product. As a consequence of the properties of trigonometric functions, with emphasis to its periodicity and symmetry, some of the questions regarding the prime numbers distribution, k-tuples and prime numbers arithmetic progressions, including the Dirichlet's Theorem and Goldbach's Conjecture, can be solved.
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