27th Jun, 2021

Dhofar University

Question

Asked 13th Jun, 2021

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

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I agree with Dr Issam.

2 Recommendations

Firstly, I think you should publish your results in a good reputable journal, and next, your request gets easier.

I wish you good luck in your endeavor.

2 Recommendations

Dear Issam, totally agree, that is why I will be contacting firstly one of the most interesting magazines in this field I had found few months ago. I think so that the only way is to prepare a very good manuscript and clear.

It is always good to hear the current researchers as my role as researcher was focused on other different field years ago. Times change and I need to adjust my way to write and organization of documents.

Best regards,

Carlos Lópera

Is it possible now to say that Fermat's Last Theorem has other proofs from other people besides the famous proof of Andrew Wiles?

Discussion

46 replies

- Asked 15th Jun, 2021

- Sergey P. Klykov

The proof from A. Wiles can be read here:

Dear Colleagues,

The request to conduct discussions strictly adhering to the declared topic of discussion without switching to a discussion of the personalities and education of the persons taking part in the discussions.

I could offer my own proof:

I am sending here to my own support a file with a "beautiful" triangle, which can be perfectly described simultaneously using the equations of the Pythagorean theorem and/or the equations of Fermat's Great Theorem, FLT.

Also, I know that Andrea Ossicini deals with similar issues. For example:

Of course, there are other attempts to provide evidence.

For example: https://vixra.org/abs/2104.0002

Or reasoning that is very close to the stated topic:

Of course, other similar links can be shown here.

It is interesting to know the opinions of **SPECIALISTS **and persons -**AMATEURS**-who are interested in this topic.

CONTINUED. Start was here:

Best Regards,

Sergey Klykov

Article

- May 1960

In a recent paper [2] Lambek and Moser have introduced the functional equations
1
and
2
in connection with some problems of number theory, in particular in dealing with the sums by pairs of sets of integers. The second may be put into the same form as (1) by the substitutions x = In z, f(ln z) = F(z), h(ln z) = H(z).

Chapter

- Dec 2016

In 1962, Erdős proved that every real number can be represented as a sum and as a product of two Liouville numbers. This has been generalized by Rieger and Schwarz. In this note we shall give an analysis of these results and their proofs. Moreover, we consider a certain subclass of Liouville numbers and prove similar results for this subclass. Sinc...

Article

Full-text available

- Dec 2015

Fuglede's conjecture in $\mathbb{Q}_p$ is proved. That is to say, a Borel set
of positive and finite Haar measure in $\mathbb{Q}_p$ is a spectral set if and
only if it tiles $\mathbb{Q}_p$ by translation.

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