Mertens function (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Mertens function" in English language version.

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7doi.org

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3worldcat.org

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2arxiv.org

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2semanticscholar.org

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2projecteuclid.org

3,707^th place

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2nih.gov

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1cwi.nl

low place

1eudml.org

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1ams.org

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1sciencedirect.com

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1numdam.org

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ams.org

Lagarias, Jeffrey; Miller, Victor; Odlyzko, Andrew (April 11, 1985). "Computing $\pi (x)$ : The Meissel–Lehmer method" (PDF). Mathematics of Computation. 44 (170): 537–560. doi:10.1090/S0025-5718-1985-0777285-5. Retrieved September 13, 2016.

arxiv.org

Nathan Ng (October 25, 2018). "The distribution of the summatory function of the Mobius function". arXiv:math/0310381.
Hurst, Greg (2016). "Computations of the Mertens Function and Improved Bounds on the Mertens Conjecture". arXiv:1610.08551 [math.NT].

cwi.nl

ir.cwi.nl

Kotnik, Tadej; van de Lune, Jan (November 2003). "Further systematic computations on the summatory function of the Möbius function". Modelling, Analysis and Simulation. MAS-R0313.

doi.org

Davenport, H. (November 1937). "On Some Infinite Series Involving Arithmetical Functions (Ii)". The Quarterly Journal of Mathematics. Original Series. 8 (1): 313–320. doi:10.1093/qmath/os-8.1.313.
Kanemitsu, S.; Yoshimoto, M. (1996). "Farey series and the Riemann hypothesis". Acta Arithmetica. 75 (4): 351–374. doi:10.4064/aa-75-4-351-374.
Meissel, Ernst (1870). "Ueber die Bestimmung der Primzahlenmenge innerhalb gegebener Grenzen". Mathematische Annalen (in German). 2 (4): 636–642. doi:10.1007/BF01444045. ISSN 0025-5831. S2CID 119828499.
Lagarias, Jeffrey; Miller, Victor; Odlyzko, Andrew (April 11, 1985). "Computing $\pi (x)$ : The Meissel–Lehmer method" (PDF). Mathematics of Computation. 44 (170): 537–560. doi:10.1090/S0025-5718-1985-0777285-5. Retrieved September 13, 2016.
Rivat, Joöl; Deléglise, Marc (1996). "Computing the summation of the Möbius function". Experimental Mathematics. 5 (4): 291–295. doi:10.1080/10586458.1996.10504594. ISSN 1944-950X. S2CID 574146.
Helfgott, Harald; Thompson, Lola (2023). "Summing $\mu (n)$ : a faster elementary algorithm". Research in Number Theory. 9 (1): 6. doi:10.1007/s40993-022-00408-8. ISSN 2363-9555. PMC 9731940. PMID 36511765.
Lagarias, Jeffrey; Odlyzko, Andrew (June 1987). "Computing $\pi (x)$ : An analytic method". Journal of Algorithms. 8 (2): 173–191. doi:10.1016/0196-6774(87)90037-X.

eudml.org

Meissel, Ernst (1870). "Ueber die Bestimmung der Primzahlenmenge innerhalb gegebener Grenzen". Mathematische Annalen (in German). 2 (4): 636–642. doi:10.1007/BF01444045. ISSN 0025-5831. S2CID 119828499.

nih.gov

ncbi.nlm.nih.gov

Helfgott, Harald; Thompson, Lola (2023). "Summing $\mu (n)$ : a faster elementary algorithm". Research in Number Theory. 9 (1): 6. doi:10.1007/s40993-022-00408-8. ISSN 2363-9555. PMC 9731940. PMID 36511765.

pubmed.ncbi.nlm.nih.gov

Helfgott, Harald; Thompson, Lola (2023). "Summing $\mu (n)$ : a faster elementary algorithm". Research in Number Theory. 9 (1): 6. doi:10.1007/s40993-022-00408-8. ISSN 2363-9555. PMC 9731940. PMID 36511765.

numdam.org

El Marraki, M. (1995). "Fonction sommatoire de la fonction de Möbius, 3. Majorations asymptotiques effectives fortes". Journal de théorie des nombres de Bordeaux. 7 (2).

projecteuclid.org

Lehmer, Derrick Henry (April 1, 1958). "ON THE EXACT NUMBER OF PRIMES LESS THAN A GIVEN LIMIT". Illinois J. Math. 3 (3): 381–388. Retrieved February 1, 2017.
Rivat, Joöl; Deléglise, Marc (1996). "Computing the summation of the Möbius function". Experimental Mathematics. 5 (4): 291–295. doi:10.1080/10586458.1996.10504594. ISSN 1944-950X. S2CID 574146.

sciencedirect.com

Lagarias, Jeffrey; Odlyzko, Andrew (June 1987). "Computing $\pi (x)$ : An analytic method". Journal of Algorithms. 8 (2): 173–191. doi:10.1016/0196-6774(87)90037-X.

semanticscholar.org

api.semanticscholar.org

Meissel, Ernst (1870). "Ueber die Bestimmung der Primzahlenmenge innerhalb gegebener Grenzen". Mathematische Annalen (in German). 2 (4): 636–642. doi:10.1007/BF01444045. ISSN 0025-5831. S2CID 119828499.
Rivat, Joöl; Deléglise, Marc (1996). "Computing the summation of the Möbius function". Experimental Mathematics. 5 (4): 291–295. doi:10.1080/10586458.1996.10504594. ISSN 1944-950X. S2CID 574146.

worldcat.org

search.worldcat.org

Meissel, Ernst (1870). "Ueber die Bestimmung der Primzahlenmenge innerhalb gegebener Grenzen". Mathematische Annalen (in German). 2 (4): 636–642. doi:10.1007/BF01444045. ISSN 0025-5831. S2CID 119828499.
Rivat, Joöl; Deléglise, Marc (1996). "Computing the summation of the Möbius function". Experimental Mathematics. 5 (4): 291–295. doi:10.1080/10586458.1996.10504594. ISSN 1944-950X. S2CID 574146.
Helfgott, Harald; Thompson, Lola (2023). "Summing $\mu (n)$ : a faster elementary algorithm". Research in Number Theory. 9 (1): 6. doi:10.1007/s40993-022-00408-8. ISSN 2363-9555. PMC 9731940. PMID 36511765.