Another approach to decide on real root existence for univariatePolynomials, and a multivariate extension for 3-SAT

Hi,

I request your expert reviews & comments on my paper available at
http://arxiv.org/abs/0803.0018

Thanks,
-Deepak Ponvel Chermakani

I discovered a repairable error in the explanation of my proof of
Lemma-7.1 of my arXiv:0803.0018v5 paper. I say that this error is
repairable because the Lemma-7.1 (and Theorem-7) continues to remain
correct.

On page 7 of my paper, please look at the 6th and 7th line from top,
where I define Fk = Pk / (1+SUMMATION((Xi/LAMBDA)^Z, over all i as
integers in [2,u])) + 1 / (1+SUMMATION((LAMBDA/Xi)^Z, over all i as
integers in [2,u])). As you can see, the current definition of Fk
evaluates to Pk within the region S, and evaluates to 1 if all Xi >
LAMBDA, but can evaluate to 0 outside the region S if some Xi > LAMBDA
and other Xi < LAMBDA.

However, what we want is that Fk must evaluate to Pk within region S,
and must evaluate to 1 outside S.

So, the current definition of Fk can be easily repaired as follows. Fk
= Pk / (1+SUMMATION((Xi/LAMBDA)^Z, over all i as integers in [2,u])) +
SUMMATION((Xi/LAMBDA)^Z, over all i as integers in [2,u]) /
(1+SUMMATION((Xi/LAMBDA)^Z, over all i as integers in [2,u])).

So Fk can continue to be expressed as some num_i/den_i, and therefore,
Theorem-7 continues to remain correct.

Respected Professors and Mathematicians,

I hope you are all doing well.

I am longing to hear more comments from you, regarding my arXiv:
0803.0018v5 paper. I hope you will be able to spare precious time from
your busy schedules, and offer me your valued comments or suggestions
on how to improve my paper.

I intend to submit and present my arXiv:0803.0018v5 paper at some
conference/seminar in the USA. I intend to personally attend that
conference, and meet respected mathematicians like you (and hopefully
you), and learn more from you by directly interacting face-to-face.

I shall be grateful if you could suggest to me, which conference/
seminar is suitable for my paper, so that I may submit there.

I look forward to your replies either via email, or via my below
mentioned Public Thread.

Thanks & faithfully,
-Deepak