
#1
May1910, 05:53 AM

P: 3,177

Does someone know if there's a course offered on RH?
I mean reading the literature can be quite intimidating without some beckground before, I read somewhere that the prof from purdue (who allegedlly proved RH) was contemplating offering such a course, but didn't offer such a course. 



#2
Jul710, 12:15 AM

P: 336

If you mean to say Riemann Hypothesis by 'RH' ,here's a good book:
Prime Obsession (by J. Derbyshire). 



#3
Jul910, 05:24 AM

P: 399

a phycisist approach to RH , is a bit simpler it use the approximate asymptotic formula
[tex] f^{1} (x) = \sqrt (4\pi ) \frac{d^{1/2}g(x)}{dx^{1/2}} [/tex] this formula is valid only for one spatial dimension (x,t) , so the conjectured WKB approximation for the inverse of the potential inside the Hamiltonian [tex] D^{2}+f(x) [/tex] with D meaning derivative respect to 'x' is [tex] \pi f^{1}(x) = \int_{0}^{x} \frac{g(t)dt}{(xt)^{1/2}} [/tex] with [tex] g(s)= (i)^{1/2}\frac{ \xi ' (1/2+is)}{\xi(1/2+is)}+(i)^{1/2}\frac{ \xi ' (1/2is)}{\xi(1/2is)} [/tex] since for RH [tex] g(s)= dN(s) [/tex] and [tex] N(E)= \frac{1}{\pi}Arg \xi(1/2+iE) [/tex] 



#4
Jul910, 07:20 AM

P: 1,666

an introductory course on RH. 



#5
Jul910, 03:39 PM

P: 241

http://arxiv.org/PS_cache/math/pdf/0309/0309433v1.pdf
One of my favorite papers on it, not sure if it's your level, but it's a fascinating look at the structure of zeta(s). 



#6
Aug910, 09:44 PM

P: 25




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