Geodesic
Riemann's zeta function and finite Dirichlet series
Algebra i analiz, Tome 27 (2015) no. 6, pp. 174-198 
Yu. V. Matiyasevich. Riemann's zeta function and finite Dirichlet series. Algebra i analiz, Tome 27 (2015) no. 6, pp. 174-198. http://geodesic.mathdoc.fr/item/AA_2015_27_6_a9/
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     author = {Yu. V. Matiyasevich},
     title = {Riemann's zeta function and finite {Dirichlet} series},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AA_2015_27_6_a9/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Beliakov G., Matiyasevich Yu., “A parallel algorithm for calculation of determinants and minors using arbitrary precision arithmetic”, BIT Numerical Mathematics, 56:1 (2016), 33–50 ; arXiv: 1308.1536 | DOI | MR | Zbl

[2] Beliakov G., Matiyasevich Yu., Zeroes of Riemann's zeta function on the critical line with $40000$ decimal digits accuracy, Research Data Australia, , 2013 http://hdl.handle.net/10536/DRO/DU:30056270

[3] Beliakov G., Matiyasevich Yu., “Approximation of Riemann's zeta function by finite Dirichlet series: A multiprecision numerical approach”, Experimental Math., 24:2 (2015), 150–161 ; arXiv: 1402.5295 | DOI | MR | Zbl

[4] Johansson F., Arb, http://fredrikj.net/arb/

[5] Matiyasevich Yu., Finite Dirichlet series with prescribed zeroes, http://logic.pdmi.ras.ru/~yumat/personaljournal/finitedirichlet

[6] Matiyasevich Yu., Research Reports MA12-03, , , Depart. Math. Univ. Leicester New conjectures about zeroes of Riemann's zeta function, 2012 http://www2.le.ac.uk/departments/mathematics/research/research-reports-2/reports-2012/ma12-03/viewhttp://logic.pdmi.ras.ru/~yumat/talks/leicester_2012/MA12_03Matiyasevich.pdf

[7] Matiyasevich Yu., Calculation of Riemann's zeta function via interpolating determinants, Preprint 2013-18, , , Max Planck Instit. Math., Bonn, 2013 http://www.mpim-bonn.mpg.de/preblob/5368http://logic.pdmi.ras.ru/~yumat/talks/bonn_2013/5368.pdf

[8] Riemann B., “Über die Anzhal der Primzahlen unter einer gegebenen Grösse”, Monatsber. Berlin. Akad., 1859, 671–680