Integer factorization (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Integer factorization" in English language version.

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ams.org

mathscinet.ams.org

Krantz, Steven G. (2011), The Proof is in the Pudding: The Changing Nature of Mathematical Proof, New York: Springer, p. 203, doi:10.1007/978-0-387-48744-1, ISBN 978-0-387-48908-7, MR 2789493
Arora, Sanjeev; Barak, Boaz (2009), Computational complexity, Cambridge: Cambridge University Press, p. 230, doi:10.1017/CBO9780511804090, ISBN 978-0-521-42426-4, MR 2500087, S2CID 215746906
Goldreich, Oded; Wigderson, Avi (2008), "IV.20 Computational Complexity", in Gowers, Timothy; Barrow-Green, June; Leader, Imre (eds.), The Princeton Companion to Mathematics, Princeton, New Jersey: Princeton University Press, pp. 575–604, ISBN 978-0-691-11880-2, MR 2467561. See in particular p. 583.
Schnorr, Claus P. (1982). "Refined analysis and improvements on some factoring algorithms". Journal of Algorithms. 3 (2): 101–127. doi:10.1016/0196-6774(82)90012-8. MR 0657269. Archived from the original on September 24, 2017.
Seysen, Martin (1987). "A probabilistic factorization algorithm with quadratic forms of negative discriminant". Mathematics of Computation. 48 (178): 757–780. doi:10.1090/S0025-5718-1987-0878705-X. MR 0878705.
Lenstra, H. W.; Pomerance, Carl (July 1992). "A Rigorous Time Bound for Factoring Integers" (PDF). Journal of the American Mathematical Society. 5 (3): 483–516. doi:10.1090/S0894-0347-1992-1137100-0. MR 1137100.

ams.org

Lenstra, H. W.; Pomerance, Carl (July 1992). "A Rigorous Time Bound for Factoring Integers" (PDF). Journal of the American Mathematical Society. 5 (3): 483–516. doi:10.1090/S0894-0347-1992-1137100-0. MR 1137100.

archive.org

David Bressoud and Stan Wagon (2000). A Course in Computational Number Theory. Key College Publishing/Springer. pp. 168–69. ISBN 978-1-930190-10-8.

arxiv.org

Vandersypen, Lieven M. K.; et al. (2001). "Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance". Nature. 414 (6866): 883–887. arXiv:quant-ph/0112176. Bibcode:2001Natur.414..883V. doi:10.1038/414883a. PMID 11780055. S2CID 4400832.

books.google.com

Krantz, Steven G. (2011), The Proof is in the Pudding: The Changing Nature of Mathematical Proof, New York: Springer, p. 203, doi:10.1007/978-0-387-48744-1, ISBN 978-0-387-48908-7, MR 2789493
Arora, Sanjeev; Barak, Boaz (2009), Computational complexity, Cambridge: Cambridge University Press, p. 230, doi:10.1017/CBO9780511804090, ISBN 978-0-521-42426-4, MR 2500087, S2CID 215746906
Goldreich, Oded; Wigderson, Avi (2008), "IV.20 Computational Complexity", in Gowers, Timothy; Barrow-Green, June; Leader, Imre (eds.), The Princeton Companion to Mathematics, Princeton, New Jersey: Princeton University Press, pp. 575–604, ISBN 978-0-691-11880-2, MR 2467561. See in particular p. 583.

doi.org

Lenstra, Arjen K. (2011), "Integer Factoring", in van Tilborg, Henk C. A.; Jajodia, Sushil (eds.), Encyclopedia of Cryptography and Security, Boston, MA: Springer US, pp. 611–618, doi:10.1007/978-1-4419-5906-5_455, ISBN 978-1-4419-5905-8, retrieved 2022-06-22
Kleinjung, Thorsten; Aoki, Kazumaro; Franke, Jens; Lenstra, Arjen K.; Thomé, Emmanuel; Bos, Joppe W.; Gaudry, Pierrick; Kruppa, Alexander; Montgomery, Peter L.; Osvik, Dag Arne; te Riele, Herman J. J.; Timofeev, Andrey; Zimmermann, Paul (2010). "Factorization of a 768-Bit RSA Modulus" (PDF). In Rabin, Tal (ed.). Advances in Cryptology - CRYPTO 2010, 30th Annual Cryptology Conference, Santa Barbara, CA, USA, August 15-19, 2010. Proceedings. Lecture Notes in Computer Science. Vol. 6223. Springer. pp. 333–350. doi:10.1007/978-3-642-14623-7_18.
Krantz, Steven G. (2011), The Proof is in the Pudding: The Changing Nature of Mathematical Proof, New York: Springer, p. 203, doi:10.1007/978-0-387-48744-1, ISBN 978-0-387-48908-7, MR 2789493
Arora, Sanjeev; Barak, Boaz (2009), Computational complexity, Cambridge: Cambridge University Press, p. 230, doi:10.1017/CBO9780511804090, ISBN 978-0-521-42426-4, MR 2500087, S2CID 215746906
Buhler, J. P.; Lenstra, H. W. Jr.; Pomerance, Carl (1993). "Factoring integers with the number field sieve". The development of the number field sieve. Lecture Notes in Mathematics. Vol. 1554. Springer. pp. 50–94. doi:10.1007/BFb0091539. hdl:1887/2149. ISBN 978-3-540-57013-4. Retrieved 12 March 2021.
Vandersypen, Lieven M. K.; et al. (2001). "Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance". Nature. 414 (6866): 883–887. arXiv:quant-ph/0112176. Bibcode:2001Natur.414..883V. doi:10.1038/414883a. PMID 11780055. S2CID 4400832.
Schnorr, Claus P. (1982). "Refined analysis and improvements on some factoring algorithms". Journal of Algorithms. 3 (2): 101–127. doi:10.1016/0196-6774(82)90012-8. MR 0657269. Archived from the original on September 24, 2017.
Seysen, Martin (1987). "A probabilistic factorization algorithm with quadratic forms of negative discriminant". Mathematics of Computation. 48 (178): 757–780. doi:10.1090/S0025-5718-1987-0878705-X. MR 0878705.
Lenstra, Arjen K (1988). "Fast and rigorous factorization under the generalized Riemann hypothesis" (PDF). Indagationes Mathematicae. 50 (4): 443–454. doi:10.1016/S1385-7258(88)80022-2.
Lenstra, H. W.; Pomerance, Carl (July 1992). "A Rigorous Time Bound for Factoring Integers" (PDF). Journal of the American Mathematical Society. 5 (3): 483–516. doi:10.1090/S0894-0347-1992-1137100-0. MR 1137100.

dtic.mil

Schnorr, Claus P. (1982). "Refined analysis and improvements on some factoring algorithms". Journal of Algorithms. 3 (2): 101–127. doi:10.1016/0196-6774(82)90012-8. MR 0657269. Archived from the original on September 24, 2017.

epfl.ch

infoscience.epfl.ch

Lenstra, Arjen K (1988). "Fast and rigorous factorization under the generalized Riemann hypothesis" (PDF). Indagationes Mathematicae. 50 (4): 443–454. doi:10.1016/S1385-7258(88)80022-2.

fortnow.com

weblog.fortnow.com

Lance Fortnow (2002-09-13). "Computational Complexity Blog: Complexity Class of the Week: Factoring".

handle.net

hdl.handle.net

Buhler, J. P.; Lenstra, H. W. Jr.; Pomerance, Carl (1993). "Factoring integers with the number field sieve". The development of the number field sieve. Lecture Notes in Mathematics. Vol. 1554. Springer. pp. 50–94. doi:10.1007/BFb0091539. hdl:1887/2149. ISBN 978-3-540-57013-4. Retrieved 12 March 2021.

harvard.edu

ui.adsabs.harvard.edu

Vandersypen, Lieven M. K.; et al. (2001). "Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance". Nature. 414 (6866): 883–887. arXiv:quant-ph/0112176. Bibcode:2001Natur.414..883V. doi:10.1038/414883a. PMID 11780055. S2CID 4400832.

iacr.org

eprint.iacr.org

Kleinjung, Thorsten; Aoki, Kazumaro; Franke, Jens; Lenstra, Arjen K.; Thomé, Emmanuel; Bos, Joppe W.; Gaudry, Pierrick; Kruppa, Alexander; Montgomery, Peter L.; Osvik, Dag Arne; te Riele, Herman J. J.; Timofeev, Andrey; Zimmermann, Paul (2010). "Factorization of a 768-Bit RSA Modulus" (PDF). In Rabin, Tal (ed.). Advances in Cryptology - CRYPTO 2010, 30th Annual Cryptology Conference, Santa Barbara, CA, USA, August 15-19, 2010. Proceedings. Lecture Notes in Computer Science. Vol. 6223. Springer. pp. 333–350. doi:10.1007/978-3-642-14623-7_18.

inria.fr

lists.gforge.inria.fr

"[Cado-nfs-discuss] 795-bit factoring and discrete logarithms". Archived from the original on 2019-12-02.

nih.gov

pubmed.ncbi.nlm.nih.gov

Vandersypen, Lieven M. K.; et al. (2001). "Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance". Nature. 414 (6866): 883–887. arXiv:quant-ph/0112176. Bibcode:2001Natur.414..883V. doi:10.1038/414883a. PMID 11780055. S2CID 4400832.

semanticscholar.org

api.semanticscholar.org

Arora, Sanjeev; Barak, Boaz (2009), Computational complexity, Cambridge: Cambridge University Press, p. 230, doi:10.1017/CBO9780511804090, ISBN 978-0-521-42426-4, MR 2500087, S2CID 215746906
Vandersypen, Lieven M. K.; et al. (2001). "Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance". Nature. 414 (6866): 883–887. arXiv:quant-ph/0112176. Bibcode:2001Natur.414..883V. doi:10.1038/414883a. PMID 11780055. S2CID 4400832.

springer.com

link.springer.com

Lenstra, Arjen K. (2011), "Integer Factoring", in van Tilborg, Henk C. A.; Jajodia, Sushil (eds.), Encyclopedia of Cryptography and Security, Boston, MA: Springer US, pp. 611–618, doi:10.1007/978-1-4419-5906-5_455, ISBN 978-1-4419-5905-8, retrieved 2022-06-22

web.archive.org

"[Cado-nfs-discuss] 795-bit factoring and discrete logarithms". Archived from the original on 2019-12-02.
Schnorr, Claus P. (1982). "Refined analysis and improvements on some factoring algorithms". Journal of Algorithms. 3 (2): 101–127. doi:10.1016/0196-6774(82)90012-8. MR 0657269. Archived from the original on September 24, 2017.