Square-free integer (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Square-free integer" in English language version.

refsWebsite

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11doi.org

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4ams.org

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2worldcat.org

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2semanticscholar.org

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2arxiv.org

69^th place

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1iitk.ac.in

6,454^th place

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1zbmath.org

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1sfu.ca

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1uniroma3.it

low place

1ualberta.ca

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1web.archive.org

1^st place

1uni-goettingen.de

2,594^th place

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1springer.com

274^th place

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1projecteuclid.org

3,707^th place

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ams.org (Global: 451^st place; English: 277^th place)

mathscinet.ams.org

Agrawal, Manindra; Kayal, Neeraj; Saxena, Nitin (1 September 2004). "PRIMES is in P" (PDF). Annals of Mathematics. 160 (2): 781–793. doi:10.4007/annals.2004.160.781. ISSN 0003-486X. MR 2123939. Zbl 1071.11070.
Filaseta, Michael; Trifonov, Ognian (1992). "On gaps between squarefree numbers. II". Journal of the London Mathematical Society. Second Series. 45 (2): 215–221. doi:10.1112/jlms/s2-45.2.215. MR 1171549.
Sárközy, A. (1985). "On divisors of binomial coefficients. I". Journal of Number Theory. 20 (1): 70–80. doi:10.1016/0022-314X(85)90017-4. MR 0777971.

ams.org

Hirsch, Dean; Kessler, Ido; Mendlovic, Uri (2024). "Computing $π (N)$ : An elementary approach in $Õ (\sqrt N)$ time". Mathematics of Computation. arXiv:2212.09857. doi:10.1090/mcom/4039. ISSN 0025-5718.

arxiv.org (Global: 69^th place; English: 59^th place)

Pawlewicz, Jakub (2011). "Counting Square-Free Numbers". arXiv:1107.4890 [math.NT].
Hirsch, Dean; Kessler, Ido; Mendlovic, Uri (2024). "Computing $π (N)$ : An elementary approach in $Õ (\sqrt N)$ time". Mathematics of Computation. arXiv:2212.09857. doi:10.1090/mcom/4039. ISSN 0025-5718.

doi.org (Global: 2^nd place; English: 2^nd place)

Adleman, Leonard M.; McCurley, Kevin S. (1994). "Open problems in number theoretic complexity, II". In Adleman, Leonard M.; Huang, Ming-Deh A. (eds.). Algorithmic Number Theory, First International Symposium, ANTS-I, Ithaca, NY, USA, May 6–9, 1994, Proceedings. Lecture Notes in Computer Science. Vol. 877. Springer. pp. 291–322. doi:10.1007/3-540-58691-1_70. ISBN 978-3-540-58691-3.
Agrawal, Manindra; Kayal, Neeraj; Saxena, Nitin (1 September 2004). "PRIMES is in P" (PDF). Annals of Mathematics. 160 (2): 781–793. doi:10.4007/annals.2004.160.781. ISSN 0003-486X. MR 2123939. Zbl 1071.11070.
Liu, H.-Q. (2016). "On the distribution of squarefree numbers". Journal of Number Theory. 159: 202–222. doi:10.1016/j.jnt.2015.07.013.
Linfoot, E. H.; Evelyn, C. J. A. (1929). "On a Problem in the Additive Theory of Numbers". Mathematische Zeitschrift. 30: 443–448. doi:10.1007/BF01187781. S2CID 120604049.
Parent, D. P. (1984). Exercises in Number Theory. Problem Books in Mathematics. Springer-Verlag New York. doi:10.1007/978-1-4757-5194-9. ISBN 978-1-4757-5194-9.
Filaseta, Michael; Trifonov, Ognian (1992). "On gaps between squarefree numbers. II". Journal of the London Mathematical Society. Second Series. 45 (2): 215–221. doi:10.1112/jlms/s2-45.2.215. MR 1171549.
Granville, Andrew (1998). "ABC allows us to count squarefrees". Int. Math. Res. Not. 1998 (19): 991–1009. doi:10.1155/S1073792898000592.{{cite journal}}: CS1 maint: unflagged free DOI (link)
Hirsch, Dean; Kessler, Ido; Mendlovic, Uri (2024). "Computing $π (N)$ : An elementary approach in $Õ (\sqrt N)$ time". Mathematics of Computation. arXiv:2212.09857. doi:10.1090/mcom/4039. ISSN 0025-5718.
Minoru, Tanaka (1979). "Experiments concerning the distribution of squarefree numbers". Proceedings of the Japan Academy, Series A, Mathematical Sciences. 55 (3). doi:10.3792/pjaa.55.101. S2CID 121862978.
Sárközy, A. (1985). "On divisors of binomial coefficients. I". Journal of Number Theory. 20 (1): 70–80. doi:10.1016/0022-314X(85)90017-4. MR 0777971.
Ramaré, Olivier; Granville, Andrew (1996). "Explicit bounds on exponential sums and the scarcity of squarefree binomial coefficients". Mathematika. 43 (1): 73–107. doi:10.1112/S0025579300011608.

iitk.ac.in (Global: 6,454^th place; English: 4,437^th place)

cse.iitk.ac.in

Agrawal, Manindra; Kayal, Neeraj; Saxena, Nitin (1 September 2004). "PRIMES is in P" (PDF). Annals of Mathematics. 160 (2): 781–793. doi:10.4007/annals.2004.160.781. ISSN 0003-486X. MR 2123939. Zbl 1071.11070.

projecteuclid.org (Global: 3,707^th place; English: 2,409^th place)

Minoru, Tanaka (1979). "Experiments concerning the distribution of squarefree numbers". Proceedings of the Japan Academy, Series A, Mathematical Sciences. 55 (3). doi:10.3792/pjaa.55.101. S2CID 121862978.

semanticscholar.org (Global: 11^th place; English: 8^th place)

api.semanticscholar.org

Linfoot, E. H.; Evelyn, C. J. A. (1929). "On a Problem in the Additive Theory of Numbers". Mathematische Zeitschrift. 30: 443–448. doi:10.1007/BF01187781. S2CID 120604049.
Minoru, Tanaka (1979). "Experiments concerning the distribution of squarefree numbers". Proceedings of the Japan Academy, Series A, Mathematical Sciences. 55 (3). doi:10.3792/pjaa.55.101. S2CID 121862978.

sfu.ca (Global: 3,413^th place; English: 2,445^th place)

cecm.sfu.ca

Richards, Chelsea (2009). Algorithms for factoring square-free polynomials over finite fields (PDF) (Master's thesis). Canada: Simon Fraser University.

springer.com (Global: 274^th place; English: 309^th place)

Parent, D. P. (1984). Exercises in Number Theory. Problem Books in Mathematics. Springer-Verlag New York. doi:10.1007/978-1-4757-5194-9. ISBN 978-1-4757-5194-9.

ualberta.ca (Global: 3,600^th place; English: 2,528^th place)

math.ualberta.ca

Jia, Chao Hua. "The distribution of square-free numbers", Science in China Series A: Mathematics 36:2 (1993), pp. 154–169. Cited in Pappalardi 2003, A Survey on k-freeness; also see Kaneenika Sinha, "Average orders of certain arithmetical functions Archived 14 February 2012 at the Wayback Machine", Journal of the Ramanujan Mathematical Society 21:3 (2006), pp. 267–277.

uni-goettingen.de (Global: 2,594^th place; English: 2,546^th place)

gdz.sub.uni-goettingen.de

Linfoot, E. H.; Evelyn, C. J. A. (1929). "On a Problem in the Additive Theory of Numbers". Mathematische Zeitschrift. 30: 443–448. doi:10.1007/BF01187781. S2CID 120604049.

uniroma3.it (Global: low place; English: low place)

mat.uniroma3.it

Jia, Chao Hua. "The distribution of square-free numbers", Science in China Series A: Mathematics 36:2 (1993), pp. 154–169. Cited in Pappalardi 2003, A Survey on k-freeness; also see Kaneenika Sinha, "Average orders of certain arithmetical functions Archived 14 February 2012 at the Wayback Machine", Journal of the Ramanujan Mathematical Society 21:3 (2006), pp. 267–277.

web.archive.org (Global: 1^st place; English: 1^st place)

Jia, Chao Hua. "The distribution of square-free numbers", Science in China Series A: Mathematics 36:2 (1993), pp. 154–169. Cited in Pappalardi 2003, A Survey on k-freeness; also see Kaneenika Sinha, "Average orders of certain arithmetical functions Archived 14 February 2012 at the Wayback Machine", Journal of the Ramanujan Mathematical Society 21:3 (2006), pp. 267–277.

worldcat.org (Global: 5^th place; English: 5^th place)

search.worldcat.org

Agrawal, Manindra; Kayal, Neeraj; Saxena, Nitin (1 September 2004). "PRIMES is in P" (PDF). Annals of Mathematics. 160 (2): 781–793. doi:10.4007/annals.2004.160.781. ISSN 0003-486X. MR 2123939. Zbl 1071.11070.
Hirsch, Dean; Kessler, Ido; Mendlovic, Uri (2024). "Computing $π (N)$ : An elementary approach in $Õ (\sqrt N)$ time". Mathematics of Computation. arXiv:2212.09857. doi:10.1090/mcom/4039. ISSN 0025-5718.

zbmath.org (Global: 1,923^rd place; English: 1,068^th place)

Agrawal, Manindra; Kayal, Neeraj; Saxena, Nitin (1 September 2004). "PRIMES is in P" (PDF). Annals of Mathematics. 160 (2): 781–793. doi:10.4007/annals.2004.160.781. ISSN 0003-486X. MR 2123939. Zbl 1071.11070.

Square-free integer (English Wikipedia)

ams.org (Global: 451st place; English: 277th place)

mathscinet.ams.org

ams.org

arxiv.org (Global: 69th place; English: 59th place)

doi.org (Global: 2nd place; English: 2nd place)

iitk.ac.in (Global: 6,454th place; English: 4,437th place)