Thursday, 20 June, 2013
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Analytic
The Riemann Hypothesis (Popularity: ) http://www.claymath.org/millennium/Riemann_Hypothesis/ Article by Enrico Bombieri (PDF) and video by Jeff Vaaler (.ram) from the Clay Mathematics Institute.
Riemann's Hypothesis (Popularity: ) http://www.users.globalnet.co.uk/~perry/maths/riemannshypothesis/riemannshypothesis.htm A beginners guide by Jon Perry.
Riemann's Zeta function (Popularity: ) http://numbers.computation.free.fr/Constants/Miscellaneous/zeta.html Notes by Xavier Gourdon and Pascal Sebah.
Louis de Branges de Bourcia (Popularity: ) http://www.math.purdue.edu/~branges/ Purdue University. Proposed solution for the Riemann Hypothesis (pdf format).
Analytic Number Theory (Popularity: ) http://www.math.harvard.edu/~elkies/M259.98/index.html Lecture Notes by Noam Elkies, Harvard, 1998.
Vinogradov's Three Primes Theorem (Popularity: ) http://www.dpmms.cam.ac.uk/~wtg10/ Lecture notes on the home page of Timothy Gowers (DVI format).
Riemann's Paper (Popularity: ) http://www.maths.tcd.ie/pub/HistMath/People/Riemann/Zeta/ "Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse" and in translation.
Easy Proof of Riemann's Hypothesis (Popularity: ) http://www.coolissues.com/mathematics/Zeta/zeta.htm Generalisations of the zeta function might provide a proof of Riemann's hypothesis.
Zeta Values on the Web (Popularity: ) http://wain.mi.ras.ru/zw/ A bibliography compiled by Wadim Zudilin on values of the zeta function with links to those papers available on-line.
Irrationality and Transcendence (Popularity: ) http://web.maths.unsw.edu.au/~angell/5535/ Lecture notes (PS) by David Angell, NSW.
The Mark of Zeta (Popularity: ) http://www.maa.org/mathland/mathtrek_6_21_99.html A MathTrek article by Ivars Peterson.
The Music of the Primes (Popularity: ) http://www.dpmms.cam.ac.uk/~dusautoy/2soft/music.htm A popular article by Marcus du Sautoy on the Riemann Hypothesis; Science Spectra, Issue 11.
Ten Trillion Zeta Zeros (Popularity: ) http://www.maa.org/editorial/mathgames/mathgames_10_18_04.html A Math Games article by Ed Pegg junior on Xavier Gourdon's computations.
Computation of Zeros of the Zeta Function (Popularity: ) http://numbers.computation.free.fr/Constants/Miscellaneous/zetazeroscompute.html Verification of RH up to the 10^13-th zero, with details of the computations and further results, by Xavier Gourdon with the help of Patrick Demichel.
Zetagrid (Popularity: ) http://www.zetagrid.net/ Numerical verification of the Riemann Hypothesis by a collaborative computing effort, with downloadable software.
The Riemann Hypothesis (Popularity: ) http://aimath.org/WWN/rh/ Some of the conjectures and open problems concerning RH, compiled by the AIM.
The Riemann Hypothesis (Popularity: ) http://www.utm.edu/research/primes/notes/rh.html A prime pages article by Chris K. Caldwell.
The Riemann Hypothesis (Popularity: ) http://www.mathpuzzle.com/riemann.html A short article with some grahpical and numerical evidence in the critical strip.
The Riemann Hypothesis (Popularity: ) http://users.forthnet.gr/ath/kimon/Riemann/Riemann.htm A short article by Kimon Spiliopoulos.
Proof of Riemann's Hypothesis (Popularity: ) http://www.coolissues.com/mathematics/Riemann/riemann.htm A claimed proof of Riemann's Hypothesis.
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