Jose Garcia
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 Jun 6 comment Asymptotic of a sum evaluation as $x \to \infty$ why not ?, what i have made wrong in my approximation Jun 5 comment Solve the Sturm-Liouville problem $y'' + λy = 0$ given $y(0) = 0$, $y'(6) = 0$? for the firste term the solution is $y(X)=Asin( \sqrt{\lambda}x$ so $B=0$ and $y(0)=0$ . The quantization condition comes from the secon equation $y'(6)=0= \sqrt{\lambda}cos( \sqrt{\lambda} 6)$ May 30 comment $\psi(p_{n+1}) - \psi(p_n)$? with the prime number theorem on mind $\Psi (x) \to 0$ so for big primes the different will be about $\p_{n+1}-p_{n}$ but again in prime number theorem $p_{n} \to nlog(n)$ so we have that $S(p_{n}) \to 1+log(n)$ May 29 comment an implicit solution is valid to show that the solution exists?? wel if you lik put $y^{-1}(x)=x(y)$ but i have always written this way with the minus 1 May 29 comment an implicit solution is valid to show that the solution exists?? i have said that the solution to a certain differential equation $y^{-1}(x)=x+g(X)$ but g(x) is known the unknon is $y(x)$ May 29 comment Euler product for Riemann zeta and analytic continuation the question IS : can we use borel transform to make an analytic continuation of the Euler product ? May 26 comment Gram's series for integral equation if someone wants to look my solution of the integral equation of first kind vixra.org/abs/1304.0013 i extend GRAM SERIES to other integral equations as well May 26 comment Integral equation solution in power series i know how to solve it with the foruier tranfsorm of course i was asking if there is another method to solve this integral equation for example by power series May 23 comment Is it possible that $\pi$ is finite in other numerical bases? PI is an integer in basis $\Pi$ by trivial definition and if we allow non integer basis May 23 comment Is a proof still valid if only the writer understands it? a TRUTH is a truth even if only a person understand May 21 comment orthogonal polynomials and quadrature formulae OK thanks good point Apr 28 comment Mathematicians ahead of their time? FOURIER invented the general method but i think that euler and bernoulli had used the fouire method to the solution of the string problem :D Apr 28 comment Mathematicians ahead of their time? RAMANUJAN and EULER .. Euler invented things like Borel transform FOurier analysis , Laplace transform and many other ideas which were studied hundred years after Apr 28 comment Ordinary Differential Equations ODEs Solve the Initial Value Problem $e^{Mt}=1+Mt+\frac{t^{2}M^{2}}{2}+\frac{t^{3}M^{3}}{6}+..$ Mar 29 comment Why is $\zeta(s)\neq0$ for $\operatorname{Re}(s)=0$? PRIME NUMBER THEOREM: riemann zeta function has no zeros of the form $1+it$ for real t therefore from the functional equation the riemann zeta function has no zeros of the form $0+it$ Mar 23 comment laurent series of a function defined by an integral and for some $|x| > 1$ i mean an asymptotic Laurent series valid as $x \to \infty$ thanks Mar 23 comment laurent series of a function defined by an integral assume all that you need :D let us suppose taht teh function can be defined for complex 'x' and so on Mar 23 comment laurent series of a function defined by an integral well assume that for every $x >0$ the integrals F(X) and H(X) exists :D Mar 23 comment laurent series of a function defined by an integral $g(t)$ is smooth with no poles so the integral exists for every 'x' since there are no poles in the integrand Mar 19 comment Real roots plot of the modified bessel function OK thanks in fact i managed to prove that the roots of the function (smooth part) was about $\frac{ \sqrt{E}}{2\pi}log(\frac{\sqrt{E}}{2\pi e})$ that's why i thought that the zeros would be related