Riemannova domneva: Razlika med redakcijama

odstranjenih 21 zlogov ,  pred 4 leti
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* {{citat|last1= Bohr|first1= Harald|authorlink1= Harald Bohr|last2= Landau|first2= Edmund|authorlink2= Edmund Landau|title= Ein Satz über Dirichletsche Reihen mit Anwendung auf die ζ-Funktion und die ''L''-Funktionen|doi= 10.1007/BF03014823|journal= [[Rendiconti del Circolo Matematico di Palermo]]|volume= 37|issue= 1|year= 1914|pages= 269–272|ref= harv}}
* {{citat|last1= Bombieri|first1= Enrico|authorlink1= Enrico Bombieri|url= http://www.claymath.org/sites/default/files/official_problem_description.pdf|format= PDF|title= The Riemann Hypothesis – official problem description|publisher= [[Clayjev matematični inštitut]]|year= 2000|accessdate= 2008-10-25|ref= harv}} Ponatisnjeno v {{harv|Borwein|Choi|Rooney|Weirathmueller|2008}}.
* {{citat|title= The Riemann Hypothesis: A Resource for the {{sic|Af|ficionado|hide=y}} and Virtuoso Alike |series= CMS Books in Mathematics|publisher= Springer|location= New York|year= 2008|editor1-first= Peter|editor1-last= Borwein|editor1-link= Peter Borwein|editor2-first= Stephen|editor2-last= Choi|editor3-first= Brendan|editor3-last= Rooney |editor4-first= Andrea|editor4-last= Weirathmueller|displayeditors= 4etal|isbn= 978-0-387-72125-5|doi= 10.1007/978-0-387-72126-2|ref= harv}}
* {{citat|last1= Borwein|first1= Peter|authorlink1= |last2= Ferguson|first2= Ron|last3= Mossinghoff|first3= Michael J.|title= Sign changes in sums of the Liouville function|doi= 10.1090/S0025-5718-08-02036-X|mr= 2398787|year= 2008|journal= [[Mathematics of Computation]]|volume= 77|issue= 263|pages= 1681–1694|ref= harv}}
* {{citat|last1= de Branges|first1= Louis|authorlink1= Louis de Branges|title= The convergence of Euler products|doi= 10.1016/0022-1236(92)90103-P|mr= 1165869|year= 1992|journal= Journal of Functional Analysis|volume= 107|issue= 1|pages= 122–210|ref= harv}}
* {{citat|last1= Ireland|first1= Kenneth|last2= Rosen |first2= Michael Ira|authorlink2= Michael Ira Rosen|title= A Classical Introduction to Modern Number Theory (Second edition)|publisher = [[Springer Science+Business Media|Springer]]|location= New York|year= 1990|isbn= 0-387-97329-X|ref= harv}}
* {{citat|last1= Ivić|first1=Aleksandar|authorlink1= Aleksandar Ivić|title= The Riemann Zeta Function|publisher= [[John Wiley & Sons]]|location= New York|isbn= 978-0-471-80634-9|mr= 0792089|year= 1985|ref= harv}} (Ponatisnjeno Dover 2003)
* {{citat|last1= Ivić|first1= Aleksandar|authorlink1= |chapter= On some reasons for doubting the Riemann hypothesis|isbn= 978-0-387-72125-5|pages= 131–160|title= The Riemann Hypothesis: A Resource for the {{sic|Af|ficionado|hide=y}} and Virtuoso Alike|series= CMS Books in Mathematics|publisher= Springer|location= New York|year= 2008|editor1-last= Borwein|editor1-first= Peter|editor2-last= Choi|editor2-first= Stephen|editor3-last= Rooney|editor3-first=Brendan|editor4-last= Weirathmueller|editor4-first= Andrea|displayeditors= 4etal|arxiv= math.NT/0311162|ref= harv}}
* {{citat|last1= Karacuba|first1= Anatolij Aleksejevič|authorlink1= Anatolij Aleksejevič Karacuba|title= Zeros of the function ζ(s) on short intervals of the critical line|pages= 569–584|journal= Izv. Akad. Nauk SSSR, Ser. Mat.|volume= 48|issue= 3|year= 1984a|mr= 0747251|language= ru|ref= harv}}
* {{citat|last1= Karacuba|first1= Anatolij Aleksejevič|authorlink1= |title= Distribution of zeros of the function ''ζ''(1/2 + ''it'')|pages= 1214–1224|journal= Izv. Akad. Nauk SSSR, Ser. Mat.|volume= 48|issue= 6|year= 1984b|mr= 0772113|language= ru|ref= harv}}
* {{citat|last1= Sabbagh|first1= Karl|authorlink1= |title= Dr. Riemann's zeros|publisher= Atlantic Books|location= London|isbn= 978-1-843-54101-1|year= 2003b|url= http://books.google.com/?id=JesSAQAAMAAJ|ref= harv}}
* {{citat|last1= Salem|first1= Raphaël|authorlink1= Raphaël Salem|title= Sur une proposition équivalente à l'hypothèse de Riemann|mr= 0053148|year= 1953|journal= [[Les Comptes rendus de l'Académie des sciences]]|volume= 236|pages= 1127–1128|ref= harv}}
* {{citat|last1= Sarnak|first1= Peter|authorlink1= Peter Sarnak|url= http://www.claymath.org/sites/default/files/sarnak_rh_0.pdf|format= PDF|chapter= Problems of the Millennium: The Riemann Hypothesis|pages= 107–115|isbn= 978-0-387-72125-5|editor1-last= Borwein|title= The Riemann Hypothesis: A Resource for the {{sic|Af|ficionado|hide=y}} and Virtuoso Alike |series= CMS Books in Mathematics|publisher= Springer|location= New York|year= 2008|editor1-first=Peter|editor2-first= Stephen|editor2-last= Choi|editor3-first= Brendan|editor3-last= Rooney|editor4-first= Andrea|editor4-last= Weirathmueller|displayeditors= 4etal|ref= harv}}
* {{citat|last1= du Sautoy|first1= Marcus|authorlink1= Marcus du Sautoy|title= The music of the primes|publisher= HarperCollins Publishers|isbn= 978-0-06-621070-4|mr= 2060134|year= 2003|ref= harv}}
* {{citat|last1= Schoenfeld|first1= Lowell|authorlink1= Lowell Schoenfeld|title= Sharper bounds for the Chebyshev functions θ(x) and ψ(x). II|doi= 10.2307/2005976|mr= 0457374|year= 1976|journal= Mathematics of Computation|volume= 30|issue= 134|pages= 337–360|jstor= 2005976|ref= harv}}
* {{citat|last1= Pugh|first1= Glen|url= http://web.viu.ca/pughg/RiemannZeta/RiemannZetaLong.html|title= The Riemann Hypothesis in a Nutshell, Java applet for plotting Z(t)|language= en}}
* {{citat|last1= Rubinstein|first1= Michael|url= http://pmmac03.math.uwaterloo.ca/~mrubinst/l_function_public/L.html |title= algorithm for generating the zeros|language= en}}
* {{citat|last1= du Sautoy|first1= Marcus|authorlink1= Marcus du Sautoy|url= http://www.seedmagazine.com/news/2006/03/prime_numbers_get_hitched.php|title= Prime Numbers Get Hitched|publisher= [http://www.seedmagazine.com Seed Magazine]|year= 2006|language= en}}
* {{citat|last1= Stein|first1= William Arthur|authorlink1= William Arthur Stein|url= http://modular.math.washington.edu/edu/2007/simuw07/index.html|title= What is Riemann's hypothesis|language= en}}
* {{citat|last1= de Vries|first1= Andreas|url= http://math-it.org/Mathematik/Riemann/RiemannApplet.html|title= The Graph of the Riemann Zeta function ζ(s)|year= 2004|language= en}}, preprosti animirani Java applet.