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location Spain , Basque Country , Bilbao
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visits member for 2 years, 6 months
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i got a degree on Physics and have several ideas on my own , unfortunately i do not have a physics sponsor :) in order to get an investigation grant :)


Mar
29
comment Spectrum of the Hill Operator $L(y)= -y''+ v(x) y $
it is semiclassical WKB method :) to recover the potential
Mar
17
comment First order ODE proof
oh sorry :) , no there is by definition the MOST GENERAL first order differential equation
Mar
17
comment First order ODE proof
this is just the DEFINITION of first order differntial equation in the most general case although perhaps it should be $ a(x) y' (x)+b(x)y(x)+c(x)=d(x) $ all the first order linear differential equation are of this way
Mar
16
comment $ \sum_{n=2}^\infty \frac{1}{n^3(n^3+1)}. $
use Euler Maclaurin summation formula en.wikipedia.org/wiki/Euler_Maclaurin
Mar
15
comment decimal expansion and square roots
that was the idea.. thank you
Mar
15
comment decimal expansion and square roots
um of course but assume it exists and it converges to a number of the form $ a+ \sqrt{b} $ with a and b integers, could we get a and b from its decimal expansions ?
Mar
13
comment Evaluation of a power series
how can in terms of hypergeometric function ? what would be the method ?? thanks
Mar
13
comment How do I find $\sum_{n=1}^\infty \frac{1}{n^n}$
in terms of integral i think i saw this sum and was equal to $$ \int_{0}^{1}dxx^{-x}= \sum_{1}^{\infty}n^{-n} $$
Mar
10
comment Continued fractions for $\sqrt{x} $ and beyond, valid formula?
but for positive $ x >1 $ the fraction should converge since $ x-1 >0 $ will be positive :) only for divergent values or for $ x=1 $ may we have some problems.
Mar
10
comment Continued fractions for $\sqrt{x} $ and beyond, valid formula?
don't know but i had some similar guess which turned to be invalid :D
Mar
10
comment How to show $\sin(-iy)=i\sinh(y)$?
use Euler's identity $ sin(x)= \frac{e^{ix}-e^{-ix}}{2i} $ and the definition of the hyperbolic sine $ sin(x)= \frac{e^{x}-e^{-x}}{2} $ now just compare :) since $ i(-i)=1 $
Mar
1
comment Testing for convergence $\sum_{j=1}^{\infty}\frac{1}{\sum_{i=1}^{j}p_i}$
the sum is convergent in think :D , by prime number theorem
Feb
22
comment representation for differential equation
to see if i can realte an ODE of second order to a volterra integral equation
Feb
18
comment Fourier sums in cosine and sine and Borel resummation
OK thanks :) ..
Feb
12
comment summation of series of powers $ n^{nix} $
don't know.. i would have for big N the term $ \infty ^{i \infty} $ which makes no sense
Feb
12
comment On the series $ \displaystyle \sum_{n=1}^{\infty} \frac{\Lambda(n)}{\sqrt{n}} \cos(x \log(n) + a) $.
i know the series is divergent... ETHAN however my question is if i can truncate it or give a 'sum' to this series for every 'x'
Feb
7
comment Why the Wu-sprung model is not accepted as a solution to Riemann HYpothesis ??
is a problem of QM so the space is the same as the QM ... acting over integrable eigenfunctions $ \int_{-\infty}^{\infty}dx |\Psi(x)| $
Feb
7
comment Why the Wu-sprung model is not accepted as a solution to Riemann HYpothesis ??
vixra.org/pdf/1301.0078v2.pdf the operator is of the form $ H=-\frac{d^{2}}{dx^{2}}+f(x) $ and the function $ f(x) $ is given implicitly inside (1.10) as an smooth part plus corrections due to the primes and prime powers $ \sum_{n=1}^{\infty}\frac{\Lambda (n)}{\sqrt{n}}J_{0}( \sqrt{x}logp) $
Feb
6
comment Why the Wu-sprung model is not accepted as a solution to Riemann HYpothesis ??
however why do not mathematician even bother solving it numerically to check that this solution is possible ??
Feb
1
comment Why the Wu-sprung model is not accepted as a solution to Riemann HYpothesis ??
thi is not only a trace formula i provide also a HERMITIAN operator whose eigenvalues are the Riemann zeros.