The Riemann Conjecture and the advanced Calculus Methods for Physics

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60 pages,complementary lectures to our research monograph entitled Lectires Notes -Applied Differential Equations of Mathemati

Scientific paper

We present a set of lectures on topics of advanced calculus in one real and complex variable with several new results and proofs on the subject, specially with detailed proof-always missing in the literature - of the Cissoti explicitly integral formula conformally representing a polygon onto a disc.Besides we present-in the paper appendix-a new study embodied with a mathematical physicist perspective,on the famous Riemann conjecture on the zeros of the Zeta function, reducing its proof to a conjecture on the positivity of a numerical series.

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