De Bruijn–Newman constant (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "De Bruijn–Newman constant" in English language version.

refsWebsite

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11doi.org

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5arxiv.org

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5worldcat.org

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5semanticscholar.org

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4zbmath.org

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3terrytao.wordpress.com

low place

3harvard.edu

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2ams.org

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1tue.nl

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1yonsei.ac.kr

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1github.com

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1michaelnielsen.org

low place

1umn.edu

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ams.org

mathscinet.ams.org

Ki, Haseo; Kim, Young-One; Lee, Jungseob (2009), "On the de Bruijn–Newman constant" (PDF), Advances in Mathematics, 222 (1): 281–306, doi:10.1016/j.aim.2009.04.003, ISSN 0001-8708, MR 2531375 (discussion).
Saouter, Yannick; Gourdon, Xavier; Demichel, Patrick (2011). "An improved lower bound for the de Bruijn–Newman constant". Mathematics of Computation. 80 (276): 2281–2287. doi:10.1090/S0025-5718-2011-02472-5. MR 2813360.

arxiv.org

Rodgers, Brad; Tao, Terence (2020). "The de Bruijn–Newman Constant is Non-Negative". Forum of Mathematics, Pi. 8: e6. arXiv:1801.05914. doi:10.1017/fmp.2020.6. ISSN 2050-5086.
Dobner, Alexander (2020). "A New Proof of Newman's Conjecture and a Generalization". arXiv:2005.05142 [math.NT].
Polymath, D.H.J. (2019). "Effective approximation of heat flow evolution of the Riemann ξ function, and a new upper bound for the de Bruijn-Newman constant". arXiv:1904.12438 [math.NT].(preprint)
Polymath, D.H.J. (2019), "Effective approximation of heat flow evolution of the Riemann ξ function, and a new upper bound for the de Bruijn-Newman constant", Research in the Mathematical Sciences, 6 (3), arXiv:1904.12438, Bibcode:2019arXiv190412438P, doi:10.1007/s40687-019-0193-1, S2CID 139107960
Platt, Dave; Trudgian, Tim (2021). "The Riemann hypothesis is true up to 3·1012". Bulletin of the London Mathematical Society. 53 (3): 792–797. arXiv:2004.09765. doi:10.1112/blms.12460. S2CID 234355998.(preprint)

doi.org

Rodgers, Brad; Tao, Terence (2020). "The de Bruijn–Newman Constant is Non-Negative". Forum of Mathematics, Pi. 8: e6. arXiv:1801.05914. doi:10.1017/fmp.2020.6. ISSN 2050-5086.
de Bruijn, N.G. (1950). "The Roots of Triginometric Integrals" (PDF). Duke Math. J. 17 (3): 197–226. doi:10.1215/s0012-7094-50-01720-0. Zbl 0038.23302.
Newman, C.M. (1976). "Fourier Transforms with only Real Zeros". Proc. Amer. Math. Soc. 61 (2): 245–251. doi:10.1090/s0002-9939-1976-0434982-5. Zbl 0342.42007.
Ki, Haseo; Kim, Young-One; Lee, Jungseob (2009), "On the de Bruijn–Newman constant" (PDF), Advances in Mathematics, 222 (1): 281–306, doi:10.1016/j.aim.2009.04.003, ISSN 0001-8708, MR 2531375 (discussion).
Polymath, D.H.J. (2019), "Effective approximation of heat flow evolution of the Riemann ξ function, and a new upper bound for the de Bruijn-Newman constant", Research in the Mathematical Sciences, 6 (3), arXiv:1904.12438, Bibcode:2019arXiv190412438P, doi:10.1007/s40687-019-0193-1, S2CID 139107960
Platt, Dave; Trudgian, Tim (2021). "The Riemann hypothesis is true up to 3·1012". Bulletin of the London Mathematical Society. 53 (3): 792–797. arXiv:2004.09765. doi:10.1112/blms.12460. S2CID 234355998.(preprint)
Csordas, G.; Norfolk, T. S.; Varga, R. S. (1987-09-01). "A low bound for the de Bruijn-newman constant Λ". Numerische Mathematik. 52 (5): 483–497. doi:10.1007/BF01400887. ISSN 0945-3245. S2CID 124008641.
te Riele, H. J. J. (1990-12-01). "A new lower bound for the de Bruijn-Newman constant". Numerische Mathematik. 58 (1): 661–667. doi:10.1007/BF01385647. ISSN 0945-3245.
Csordas, G.; Ruttan, A.; Varga, R. S. (1991-06-01). "The Laguerre inequalities with applications to a problem associated with the Riemann hypothesis". Numerical Algorithms. 1 (2): 305–329. Bibcode:1991NuAlg...1..305C. doi:10.1007/BF02142328. ISSN 1572-9265. S2CID 22606966.
Odlyzko, A.M. (2000). "An improved bound for the de Bruijn–Newman constant". Numerical Algorithms. 25 (1): 293–303. Bibcode:2000NuAlg..25..293O. doi:10.1023/A:1016677511798. S2CID 5824729. Zbl 0967.11034.
Saouter, Yannick; Gourdon, Xavier; Demichel, Patrick (2011). "An improved lower bound for the de Bruijn–Newman constant". Mathematics of Computation. 80 (276): 2281–2287. doi:10.1090/S0025-5718-2011-02472-5. MR 2813360.

github.com

D.H.J. Polymath (20 December 2018), Effective approximation of heat flow evolution of the Riemann $\xi$ -function, and an upper bound for the de Bruijn-Newman constant (PDF) (preprint), retrieved 23 December 2018

harvard.edu

ui.adsabs.harvard.edu

Polymath, D.H.J. (2019), "Effective approximation of heat flow evolution of the Riemann ξ function, and a new upper bound for the de Bruijn-Newman constant", Research in the Mathematical Sciences, 6 (3), arXiv:1904.12438, Bibcode:2019arXiv190412438P, doi:10.1007/s40687-019-0193-1, S2CID 139107960
Csordas, G.; Ruttan, A.; Varga, R. S. (1991-06-01). "The Laguerre inequalities with applications to a problem associated with the Riemann hypothesis". Numerical Algorithms. 1 (2): 305–329. Bibcode:1991NuAlg...1..305C. doi:10.1007/BF02142328. ISSN 1572-9265. S2CID 22606966.
Odlyzko, A.M. (2000). "An improved bound for the de Bruijn–Newman constant". Numerical Algorithms. 25 (1): 293–303. Bibcode:2000NuAlg..25..293O. doi:10.1023/A:1016677511798. S2CID 5824729. Zbl 0967.11034.

michaelnielsen.org

Zero-free regions

semanticscholar.org

api.semanticscholar.org

Polymath, D.H.J. (2019), "Effective approximation of heat flow evolution of the Riemann ξ function, and a new upper bound for the de Bruijn-Newman constant", Research in the Mathematical Sciences, 6 (3), arXiv:1904.12438, Bibcode:2019arXiv190412438P, doi:10.1007/s40687-019-0193-1, S2CID 139107960
Platt, Dave; Trudgian, Tim (2021). "The Riemann hypothesis is true up to 3·1012". Bulletin of the London Mathematical Society. 53 (3): 792–797. arXiv:2004.09765. doi:10.1112/blms.12460. S2CID 234355998.(preprint)
Csordas, G.; Norfolk, T. S.; Varga, R. S. (1987-09-01). "A low bound for the de Bruijn-newman constant Λ". Numerische Mathematik. 52 (5): 483–497. doi:10.1007/BF01400887. ISSN 0945-3245. S2CID 124008641.
Csordas, G.; Ruttan, A.; Varga, R. S. (1991-06-01). "The Laguerre inequalities with applications to a problem associated with the Riemann hypothesis". Numerical Algorithms. 1 (2): 305–329. Bibcode:1991NuAlg...1..305C. doi:10.1007/BF02142328. ISSN 1572-9265. S2CID 22606966.
Odlyzko, A.M. (2000). "An improved bound for the de Bruijn–Newman constant". Numerical Algorithms. 25 (1): 293–303. Bibcode:2000NuAlg..25..293O. doi:10.1023/A:1016677511798. S2CID 5824729. Zbl 0967.11034.

terrytao.wordpress.com

"The De Bruijn-Newman constant is non-negative". 19 January 2018. Retrieved 2018-01-19. (announcement post)
Ki, Haseo; Kim, Young-One; Lee, Jungseob (2009), "On the de Bruijn–Newman constant" (PDF), Advances in Mathematics, 222 (1): 281–306, doi:10.1016/j.aim.2009.04.003, ISSN 0001-8708, MR 2531375 (discussion).
Going below $\Lambda \leq 0.22?$ , 4 May 2018

tue.nl

pure.tue.nl

de Bruijn, N.G. (1950). "The Roots of Triginometric Integrals" (PDF). Duke Math. J. 17 (3): 197–226. doi:10.1215/s0012-7094-50-01720-0. Zbl 0038.23302.

umn.edu

dtc.umn.edu

Csordas, G.; Odlyzko, A.M.; Smith, W.; Varga, R.S. (1993). "A new Lehmer pair of zeros and a new lower bound for the De Bruijn–Newman constant Lambda" (PDF). Electronic Transactions on Numerical Analysis. 1: 104–111. Zbl 0807.11059. Retrieved June 1, 2012.

worldcat.org

search.worldcat.org

Rodgers, Brad; Tao, Terence (2020). "The de Bruijn–Newman Constant is Non-Negative". Forum of Mathematics, Pi. 8: e6. arXiv:1801.05914. doi:10.1017/fmp.2020.6. ISSN 2050-5086.
Ki, Haseo; Kim, Young-One; Lee, Jungseob (2009), "On the de Bruijn–Newman constant" (PDF), Advances in Mathematics, 222 (1): 281–306, doi:10.1016/j.aim.2009.04.003, ISSN 0001-8708, MR 2531375 (discussion).
Csordas, G.; Norfolk, T. S.; Varga, R. S. (1987-09-01). "A low bound for the de Bruijn-newman constant Λ". Numerische Mathematik. 52 (5): 483–497. doi:10.1007/BF01400887. ISSN 0945-3245. S2CID 124008641.
te Riele, H. J. J. (1990-12-01). "A new lower bound for the de Bruijn-Newman constant". Numerische Mathematik. 58 (1): 661–667. doi:10.1007/BF01385647. ISSN 0945-3245.
Csordas, G.; Ruttan, A.; Varga, R. S. (1991-06-01). "The Laguerre inequalities with applications to a problem associated with the Riemann hypothesis". Numerical Algorithms. 1 (2): 305–329. Bibcode:1991NuAlg...1..305C. doi:10.1007/BF02142328. ISSN 1572-9265. S2CID 22606966.

yonsei.ac.kr

web.yonsei.ac.kr

Ki, Haseo; Kim, Young-One; Lee, Jungseob (2009), "On the de Bruijn–Newman constant" (PDF), Advances in Mathematics, 222 (1): 281–306, doi:10.1016/j.aim.2009.04.003, ISSN 0001-8708, MR 2531375 (discussion).

zbmath.org

de Bruijn, N.G. (1950). "The Roots of Triginometric Integrals" (PDF). Duke Math. J. 17 (3): 197–226. doi:10.1215/s0012-7094-50-01720-0. Zbl 0038.23302.
Newman, C.M. (1976). "Fourier Transforms with only Real Zeros". Proc. Amer. Math. Soc. 61 (2): 245–251. doi:10.1090/s0002-9939-1976-0434982-5. Zbl 0342.42007.
Csordas, G.; Odlyzko, A.M.; Smith, W.; Varga, R.S. (1993). "A new Lehmer pair of zeros and a new lower bound for the De Bruijn–Newman constant Lambda" (PDF). Electronic Transactions on Numerical Analysis. 1: 104–111. Zbl 0807.11059. Retrieved June 1, 2012.
Odlyzko, A.M. (2000). "An improved bound for the de Bruijn–Newman constant". Numerical Algorithms. 25 (1): 293–303. Bibcode:2000NuAlg..25..293O. doi:10.1023/A:1016677511798. S2CID 5824729. Zbl 0967.11034.