Dear researchers, I am very interested in making more progress in the direction of the functional analysis and number theory. After the second stage of my private research regarding the Riemann Zeta function and Xi-function, I have been able to validate one fascinating consequence of the Riemann Hypothesis, probably never seen before, and it is related to the set of the Taylor even coefficients a_2n and Jensen C_n (and the Turán moments b_m or b_n calculated by professors Csordas, Norfolk and Varga, almost 36 years ago). I have validated these b_m, and their impact in the definition of the famous coefficients of the Jensen polynomials with shift N=0 and Taylor coefficients a_2n which evidently (or undoubtedly) lets formulate a representation by a series for the well-known and important Euler-Mascheroni constant, and also the Lugo's. I do not have any contract with any institution (university) nor studying any master/PhD, but I considere that I could show an significant set of results that would open the door for future researchs not only in mathematics, but also in physics. As I live in Europe, electronics engineer graduate from UPB, several years ago (2007) and my passion for searching and validating models ( I am good at Matlab and other programms), I can work in a research project if I had such priceless opportunity. The reason for investigating in functional analysis and number theory when being an electronics engineer is because I like mathematics being applied to several fields, I believe in the possibility to determine new formulas that impact in exact science and engineering. Nowadays, I feel alone in my own research and I have tried to contact several magazines for showing these golden results and to be able to coming back to the college world, unfortunately, time and some circumstances during my years as engineer trying to pursuit some chance in research have affected my way to do what I would love to do the best: researching and completing my PhD. That is why I post this question about who could help me to come back to an institution and be able to build an interesting path of results and findings I know I can give.
For now, I have reached a tremendous data and fascinating equations that only could be exposed once finished my 10 or 13 pages of current article, as I am aware of the formal stages of a publication. I would like to contact not only magazines, but also prestigious universities whose groups or members could get inmersed in my ideas and results.
Let me know if there were good information and contacts via inbox or replying to this post.
Thanks in advance.
Carlos López
Electronics engineer
Graduate from UPB, Medellín, Colombia
Technical representative, current city: Szczecin, Poland