Sidon sequence (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Sidon sequence" in English language version.

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25doi.org

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13worldcat.org

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6arxiv.org

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2combinatorics.org

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ams.org

mathscinet.ams.org

Mian, Abdul Majid; Chowla, S. (1944). "On the B₂ sequences of Sidon". Proc. Natl. Acad. Sci. India A. 14: 3–4. MR 0014114..
Ajtai, M.; Komlós, J.; Szemerédi, E. (1981). "A dense infinite Sidon sequence". European Journal of Combinatorics. 2 (1): 1–11. doi:10.1016/s0195-6698(81)80014-5. MR 0611925..
Ruzsa, I. Z. (1998). "An infinite Sidon sequence". Journal of Number Theory. 68: 63–71. doi:10.1006/jnth.1997.2192. MR 1492889..
Erdős, P.; Rényi, A. (1960). "Additive properties of random sequences of positive integers" (PDF). Acta Arithmetica. 6: 83–110. doi:10.4064/aa-6-1-83-110. MR 0120213..

arxiv.org

Balogh, József; Füredi, Zoltán; Roy, Souktik (2023-05-28). "An Upper Bound on the Size of Sidon Sets". The American Mathematical Monthly. 130 (5): 437–445. arXiv:2103.15850. doi:10.1080/00029890.2023.2176667. ISSN 0002-9890. S2CID 232417382.
Prendiville, Sean (July 2022). "Solving equations in dense Sidon sets". Mathematical Proceedings of the Cambridge Philosophical Society. 173 (1): 25–34. arXiv:2005.03484. Bibcode:2022MPCPS.173...25P. doi:10.1017/S0305004121000402. ISSN 0305-0041.
Eberhard, Sean; Manners, Freddie (2023-02-24). "The Apparent Structure of Dense Sidon Sets". The Electronic Journal of Combinatorics. 30: P1.33. arXiv:2107.05744. doi:10.37236/11191. ISSN 1077-8926.
Balasubramanian, R.; Dutta, Sayan (2024-09-08). "The $m$-th Element of a Sidon Set". arXiv:2409.01986 [math.NT].
Kiss, Sándor Z.; Rozgonyi, Eszter; Sándor, Csaba (2014-12-01). "On Sidon sets which are asymptotic bases of order $4$". Functiones et Approximatio Commentarii Mathematici. 51 (2). arXiv:1304.5749. doi:10.7169/facm/2014.51.2.10. ISSN 0208-6573. S2CID 119121815.
Pilatte, Cédric (2024-05-10). "A solution to the Erdős–Sárközy–Sós problem on asymptotic Sidon bases of order 3". Compositio Mathematica. 160 (6): 1418–1432. arXiv:2303.09659. doi:10.1112/s0010437x24007140. ISSN 0010-437X.

cambridge.org

Prendiville, Sean (July 2022). "Solving equations in dense Sidon sets". Mathematical Proceedings of the Cambridge Philosophical Society. 173 (1): 25–34. arXiv:2005.03484. Bibcode:2022MPCPS.173...25P. doi:10.1017/S0305004121000402. ISSN 0305-0041.

combinatorics.org

O'Bryant, K. (2004). "A complete annotated bibliography of work related to Sidon sequences". Electronic Journal of Combinatorics. 11: 39. doi:10.37236/32..
Eberhard, Sean; Manners, Freddie (2023-02-24). "The Apparent Structure of Dense Sidon Sets". The Electronic Journal of Combinatorics. 30: P1.33. arXiv:2107.05744. doi:10.37236/11191. ISSN 1077-8926.

doi.org

Erdős, P.; Turán, P. (1941). "On a problem of Sidon in additive number theory and on some related problems" (PDF). J. London Math. Soc. 16 (4): 212–215. doi:10.1112/jlms/s1-16.4.212.. Addendum, 19 (1944), 208.
O'Bryant, K. (2004). "A complete annotated bibliography of work related to Sidon sequences". Electronic Journal of Combinatorics. 11: 39. doi:10.37236/32..
Linström, Bern (1969). "An inequality for B2-sequences". Journal of Combinatorial Theory. 6 (2): 211–212. doi:10.1016/S0021-9800(69)80124-9.
Balogh, József; Füredi, Zoltán; Roy, Souktik (2023-05-28). "An Upper Bound on the Size of Sidon Sets". The American Mathematical Monthly. 130 (5): 437–445. arXiv:2103.15850. doi:10.1080/00029890.2023.2176667. ISSN 0002-9890. S2CID 232417382.
Prendiville, Sean (July 2022). "Solving equations in dense Sidon sets". Mathematical Proceedings of the Cambridge Philosophical Society. 173 (1): 25–34. arXiv:2005.03484. Bibcode:2022MPCPS.173...25P. doi:10.1017/S0305004121000402. ISSN 0305-0041.
Eberhard, Sean; Manners, Freddie (2023-02-24). "The Apparent Structure of Dense Sidon Sets". The Electronic Journal of Combinatorics. 30: P1.33. arXiv:2107.05744. doi:10.37236/11191. ISSN 1077-8926.
Erdös, P.; Turán, P. (October 1941). "On a Problem of Sidon in Additive Number Theory, and on some Related Problems". Journal of the London Mathematical Society. s1-16 (4): 212–215. doi:10.1112/jlms/s1-16.4.212.
Singer, James (1938). "A theorem in finite projective geometry and some applications to number theory". Transactions of the American Mathematical Society. 43 (3): 377–385. doi:10.1090/S0002-9947-1938-1501951-4. ISSN 0002-9947. S2CID 121112335.
Ganley, Michael J (1977-11-01). "Direct product difference sets". Journal of Combinatorial Theory, Series A. 23 (3): 321–332. doi:10.1016/0097-3165(77)90023-1. ISSN 0097-3165.
Ruzsa, Imre (1993). "Solving a linear equation in a set of integers I". Acta Arithmetica. 65 (3): 259–282. doi:10.4064/aa-65-3-259-282. ISSN 0065-1036.
Hughes, D. R. (November 1955). "Planar Division Neo-Rings". Transactions of the American Mathematical Society. 80 (2): 502–527. doi:10.2307/1993000. ISSN 0002-9947. JSTOR 1993000.
Cilleruelo, Javier (2012-05-01). "Combinatorial problems in finite fields and Sidon sets". Combinatorica. 32 (5): 497–511. doi:10.1007/s00493-012-2819-4. ISSN 1439-6912.
Ruzsa, Imre Z. (1999-11-01). "Erdős and the Integers". Journal of Number Theory. 79 (1): 115–163. doi:10.1006/jnth.1999.2395. ISSN 0022-314X.
Ajtai, M.; Komlós, J.; Szemerédi, E. (1981). "A dense infinite Sidon sequence". European Journal of Combinatorics. 2 (1): 1–11. doi:10.1016/s0195-6698(81)80014-5. MR 0611925..
Ruzsa, I. Z. (1998). "An infinite Sidon sequence". Journal of Number Theory. 68: 63–71. doi:10.1006/jnth.1997.2192. MR 1492889..
Erdős, P.; Rényi, A. (1960). "Additive properties of random sequences of positive integers" (PDF). Acta Arithmetica. 6: 83–110. doi:10.4064/aa-6-1-83-110. MR 0120213..
Kiss, S. Z. (2010-07-01). "On Sidon sets which are asymptotic bases". Acta Mathematica Hungarica. 128 (1): 46–58. doi:10.1007/s10474-010-9155-1. ISSN 1588-2632. S2CID 96474687.
Kiss, Sándor Z.; Rozgonyi, Eszter; Sándor, Csaba (2014-12-01). "On Sidon sets which are asymptotic bases of order $4$". Functiones et Approximatio Commentarii Mathematici. 51 (2). arXiv:1304.5749. doi:10.7169/facm/2014.51.2.10. ISSN 0208-6573. S2CID 119121815.
Cilleruelo, Javier (November 2015). "On Sidon sets and asymptotic bases". Proceedings of the London Mathematical Society. 111 (5): 1206–1230. doi:10.1112/plms/pdv050. S2CID 34849568.
Pilatte, Cédric (2024-05-10). "A solution to the Erdős–Sárközy–Sós problem on asymptotic Sidon bases of order 3". Compositio Mathematica. 160 (6): 1418–1432. arXiv:2303.09659. doi:10.1112/s0010437x24007140. ISSN 0010-437X.
Erdős, P.; Sárközy, A.; Sós, V. T. (1994-12-31). "On additive properties of general sequences". Discrete Mathematics. 136 (1): 75–99. doi:10.1016/0012-365X(94)00108-U. ISSN 0012-365X. S2CID 38168554.

dx.doi.org

Ruzsa, Imre (1993). "Solving a linear equation in a set of integers I". Acta Arithmetica. 65 (3): 259–282. doi:10.4064/aa-65-3-259-282. ISSN 0065-1036.
Hughes, D. R. (November 1955). "Planar Division Neo-Rings". Transactions of the American Mathematical Society. 80 (2): 502–527. doi:10.2307/1993000. ISSN 0002-9947. JSTOR 1993000.
Pilatte, Cédric (2024-05-10). "A solution to the Erdős–Sárközy–Sós problem on asymptotic Sidon bases of order 3". Compositio Mathematica. 160 (6): 1418–1432. arXiv:2303.09659. doi:10.1112/s0010437x24007140. ISSN 0010-437X.
Erdős, P.; Sárközy, A.; Sós, V. T. (1994-12-31). "On additive properties of general sequences". Discrete Mathematics. 136 (1): 75–99. doi:10.1016/0012-365X(94)00108-U. ISSN 0012-365X. S2CID 38168554.

elsevier.com

linkinghub.elsevier.com

Ganley, Michael J (1977-11-01). "Direct product difference sets". Journal of Combinatorial Theory, Series A. 23 (3): 321–332. doi:10.1016/0097-3165(77)90023-1. ISSN 0097-3165.
Ruzsa, Imre Z. (1999-11-01). "Erdős and the Integers". Journal of Number Theory. 79 (1): 115–163. doi:10.1006/jnth.1999.2395. ISSN 0022-314X.

harvard.edu

ui.adsabs.harvard.edu

Prendiville, Sean (July 2022). "Solving equations in dense Sidon sets". Mathematical Proceedings of the Cambridge Philosophical Society. 173 (1): 25–34. arXiv:2005.03484. Bibcode:2022MPCPS.173...25P. doi:10.1017/S0305004121000402. ISSN 0305-0041.

i-scholar.in

Bose, R. C. (1942-06-01). "An Affine Analogue of Singer's Theorem". The Journal of the Indian Mathematical Society. 6: 1–15.

jstor.org

Hughes, D. R. (November 1955). "Planar Division Neo-Rings". Transactions of the American Mathematical Society. 80 (2): 502–527. doi:10.2307/1993000. ISSN 0002-9947. JSTOR 1993000.

math-inst.hu

Erdős, P.; Turán, P. (1941). "On a problem of Sidon in additive number theory and on some related problems" (PDF). J. London Math. Soc. 16 (4): 212–215. doi:10.1112/jlms/s1-16.4.212.. Addendum, 19 (1944), 208.

projecteuclid.org

Kiss, Sándor Z.; Rozgonyi, Eszter; Sándor, Csaba (2014-12-01). "On Sidon sets which are asymptotic bases of order $4$". Functiones et Approximatio Commentarii Mathematici. 51 (2). arXiv:1304.5749. doi:10.7169/facm/2014.51.2.10. ISSN 0208-6573. S2CID 119121815.

pte.hu

mathematica-pannonica.ttk.pte.hu

Erdős, Paul (1994). "Some problems in number theory, combinatorics and combinatorial geometry" (PDF). Mathematica Pannonica. 5 (2): 261–269.

quantamagazine.org

"First-Year Graduate Finds Paradoxical Number Set". Quanta Magazine. 2023-06-05. Retrieved 2023-06-13.

renyi.hu

Erdős, P.; Turán, P. (1941). "On a problem of Sidon in additive number theory and on some related problems" (PDF). J. London Math. Soc. 16 (4): 212–215. doi:10.1112/jlms/s1-16.4.212.. Addendum, 19 (1944), 208.
Erdős, P.; Rényi, A. (1960). "Additive properties of random sequences of positive integers" (PDF). Acta Arithmetica. 6: 83–110. doi:10.4064/aa-6-1-83-110. MR 0120213..

semanticscholar.org

api.semanticscholar.org

Balogh, József; Füredi, Zoltán; Roy, Souktik (2023-05-28). "An Upper Bound on the Size of Sidon Sets". The American Mathematical Monthly. 130 (5): 437–445. arXiv:2103.15850. doi:10.1080/00029890.2023.2176667. ISSN 0002-9890. S2CID 232417382.
Singer, James (1938). "A theorem in finite projective geometry and some applications to number theory". Transactions of the American Mathematical Society. 43 (3): 377–385. doi:10.1090/S0002-9947-1938-1501951-4. ISSN 0002-9947. S2CID 121112335.
Kiss, S. Z. (2010-07-01). "On Sidon sets which are asymptotic bases". Acta Mathematica Hungarica. 128 (1): 46–58. doi:10.1007/s10474-010-9155-1. ISSN 1588-2632. S2CID 96474687.
Kiss, Sándor Z.; Rozgonyi, Eszter; Sándor, Csaba (2014-12-01). "On Sidon sets which are asymptotic bases of order $4$". Functiones et Approximatio Commentarii Mathematici. 51 (2). arXiv:1304.5749. doi:10.7169/facm/2014.51.2.10. ISSN 0208-6573. S2CID 119121815.
Cilleruelo, Javier (November 2015). "On Sidon sets and asymptotic bases". Proceedings of the London Mathematical Society. 111 (5): 1206–1230. doi:10.1112/plms/pdv050. S2CID 34849568.
Erdős, P.; Sárközy, A.; Sós, V. T. (1994-12-31). "On additive properties of general sequences". Discrete Mathematics. 136 (1): 75–99. doi:10.1016/0012-365X(94)00108-U. ISSN 0012-365X. S2CID 38168554.

springer.com

link.springer.com

Cilleruelo, Javier (2012-05-01). "Combinatorial problems in finite fields and Sidon sets". Combinatorica. 32 (5): 497–511. doi:10.1007/s00493-012-2819-4. ISSN 1439-6912.

tandfonline.com

Balogh, József; Füredi, Zoltán; Roy, Souktik (2023-05-28). "An Upper Bound on the Size of Sidon Sets". The American Mathematical Monthly. 130 (5): 437–445. arXiv:2103.15850. doi:10.1080/00029890.2023.2176667. ISSN 0002-9890. S2CID 232417382.

wiley.com

doi.wiley.com

Erdös, P.; Turán, P. (October 1941). "On a Problem of Sidon in Additive Number Theory, and on some Related Problems". Journal of the London Mathematical Society. s1-16 (4): 212–215. doi:10.1112/jlms/s1-16.4.212.
Cilleruelo, Javier (November 2015). "On Sidon sets and asymptotic bases". Proceedings of the London Mathematical Society. 111 (5): 1206–1230. doi:10.1112/plms/pdv050. S2CID 34849568.

worldcat.org

search.worldcat.org

Balogh, József; Füredi, Zoltán; Roy, Souktik (2023-05-28). "An Upper Bound on the Size of Sidon Sets". The American Mathematical Monthly. 130 (5): 437–445. arXiv:2103.15850. doi:10.1080/00029890.2023.2176667. ISSN 0002-9890. S2CID 232417382.
Prendiville, Sean (July 2022). "Solving equations in dense Sidon sets". Mathematical Proceedings of the Cambridge Philosophical Society. 173 (1): 25–34. arXiv:2005.03484. Bibcode:2022MPCPS.173...25P. doi:10.1017/S0305004121000402. ISSN 0305-0041.
Eberhard, Sean; Manners, Freddie (2023-02-24). "The Apparent Structure of Dense Sidon Sets". The Electronic Journal of Combinatorics. 30: P1.33. arXiv:2107.05744. doi:10.37236/11191. ISSN 1077-8926.
Singer, James (1938). "A theorem in finite projective geometry and some applications to number theory". Transactions of the American Mathematical Society. 43 (3): 377–385. doi:10.1090/S0002-9947-1938-1501951-4. ISSN 0002-9947. S2CID 121112335.
Ganley, Michael J (1977-11-01). "Direct product difference sets". Journal of Combinatorial Theory, Series A. 23 (3): 321–332. doi:10.1016/0097-3165(77)90023-1. ISSN 0097-3165.
Ruzsa, Imre (1993). "Solving a linear equation in a set of integers I". Acta Arithmetica. 65 (3): 259–282. doi:10.4064/aa-65-3-259-282. ISSN 0065-1036.
Hughes, D. R. (November 1955). "Planar Division Neo-Rings". Transactions of the American Mathematical Society. 80 (2): 502–527. doi:10.2307/1993000. ISSN 0002-9947. JSTOR 1993000.
Cilleruelo, Javier (2012-05-01). "Combinatorial problems in finite fields and Sidon sets". Combinatorica. 32 (5): 497–511. doi:10.1007/s00493-012-2819-4. ISSN 1439-6912.
Ruzsa, Imre Z. (1999-11-01). "Erdős and the Integers". Journal of Number Theory. 79 (1): 115–163. doi:10.1006/jnth.1999.2395. ISSN 0022-314X.
Kiss, S. Z. (2010-07-01). "On Sidon sets which are asymptotic bases". Acta Mathematica Hungarica. 128 (1): 46–58. doi:10.1007/s10474-010-9155-1. ISSN 1588-2632. S2CID 96474687.
Kiss, Sándor Z.; Rozgonyi, Eszter; Sándor, Csaba (2014-12-01). "On Sidon sets which are asymptotic bases of order $4$". Functiones et Approximatio Commentarii Mathematici. 51 (2). arXiv:1304.5749. doi:10.7169/facm/2014.51.2.10. ISSN 0208-6573. S2CID 119121815.
Pilatte, Cédric (2024-05-10). "A solution to the Erdős–Sárközy–Sós problem on asymptotic Sidon bases of order 3". Compositio Mathematica. 160 (6): 1418–1432. arXiv:2303.09659. doi:10.1112/s0010437x24007140. ISSN 0010-437X.
Erdős, P.; Sárközy, A.; Sós, V. T. (1994-12-31). "On additive properties of general sequences". Discrete Mathematics. 136 (1): 75–99. doi:10.1016/0012-365X(94)00108-U. ISSN 0012-365X. S2CID 38168554.

zbmath.org

Guy, Richard K. (2004). "C9: Packing sums in pairs". Unsolved problems in number theory (3rd ed.). Springer-Verlag. pp. 175–180. ISBN 0-387-20860-7. Zbl 1058.11001.