Journal articles on the topic 'Quadrati reciprocity'
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HAMBLETON, S., and V. SCHARASCHKIN. "QUADRATIC RECIPROCITY VIA RESULTANTS." International Journal of Number Theory 06, no. 06 (September 2010): 1413–17. http://dx.doi.org/10.1142/s179304211000354x.
Full textRousseau, G. "On the quadratic reciprocity law." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 51, no. 3 (December 1991): 423–25. http://dx.doi.org/10.1017/s1446788700034583.
Full textHambleton, S., and V. Scharaschkin. "Pell conics and quadratic reciprocity." Rocky Mountain Journal of Mathematics 42, no. 1 (February 2012): 91–96. http://dx.doi.org/10.1216/rmj-2012-42-1-91.
Full textKronheimer, P. B., M. J. Larsen, and J. Scherk. "Casson's invariant and quadratic reciprocity." Topology 30, no. 3 (November 1991): 335–38. http://dx.doi.org/10.1016/0040-9383(91)90018-y.
Full textVirgil Barnard. "A Proof of Quadratic Reciprocity." American Mathematical Monthly 122, no. 6 (2015): 588. http://dx.doi.org/10.4169/amer.math.monthly.122.6.588.
Full textLemmermeyer, F. "Selmer groups and quadratic reciprocity." Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 76, no. 1 (December 2006): 279–93. http://dx.doi.org/10.1007/bf02960869.
Full textPerutka, Tomas. "Using decomposition groups to prove theorems about quadratic residues." Journal of the ASB Society 1, no. 1 (December 28, 2020): 12–20. http://dx.doi.org/10.51337/jasb20201228002.
Full textCox, David A. "Quadratic Reciprocity: Its Conjecture and Application." American Mathematical Monthly 95, no. 5 (May 1988): 442. http://dx.doi.org/10.2307/2322482.
Full textDuke, William, and Kimberly Hopkins. "Quadratic Reciprocity in a Finite Group." American Mathematical Monthly 112, no. 3 (March 1, 2005): 251. http://dx.doi.org/10.2307/30037441.
Full textCox, Darrell, Sourangshu Ghosh, and Eldar Sultanow. "Quadratic, Cubic, Biquadratic, and Quintic Reciprocity." International Journal of Pure and Applied Mathematics Research 2, no. 1 (April 5, 2022): 15–39. http://dx.doi.org/10.51483/ijpamr.2.1.2022.15-39.
Full textMerrill, Kathy, and Lynne Walling. "On quadratic reciprocity over function fields." Pacific Journal of Mathematics 173, no. 1 (March 1, 1996): 147–50. http://dx.doi.org/10.2140/pjm.1996.173.147.
Full textDuke, William, and Kimberly Hopkins. "Quadratic Reciprocity in a Finite Group." American Mathematical Monthly 112, no. 3 (March 2005): 251–56. http://dx.doi.org/10.1080/00029890.2005.11920190.
Full textCox, David A. "Quadratic Reciprocity: Its Conjecture and Application." American Mathematical Monthly 95, no. 5 (May 1988): 442–48. http://dx.doi.org/10.1080/00029890.1988.11972029.
Full textSander, J. W. "A reciprocity formula for quadratic forms." Monatshefte f�r Mathematik 104, no. 2 (June 1987): 125–32. http://dx.doi.org/10.1007/bf01326785.
Full textRichard Steiner. "Modular Divisor Functions and Quadratic Reciprocity." American Mathematical Monthly 117, no. 5 (2010): 448. http://dx.doi.org/10.4169/000298910x485978.
Full textSwan, Richard G. "Another Proof of the Quadratic Reciprocity Theorem?" American Mathematical Monthly 97, no. 2 (February 1990): 138. http://dx.doi.org/10.2307/2323916.
Full textCzogała, Alfred. "On reciprocity equivalence of quadratic number fields." Acta Arithmetica 58, no. 1 (1991): 27–46. http://dx.doi.org/10.4064/aa-58-1-27-46.
Full textYap, Audrey. "Gauss’ quadratic reciprocity theorem and mathematical fruitfulness." Studies in History and Philosophy of Science Part A 42, no. 3 (September 2011): 410–15. http://dx.doi.org/10.1016/j.shpsa.2010.09.002.
Full textSwan, Richard G. "Another Proof of the Quadratic Reciprocity Theorem?" American Mathematical Monthly 97, no. 2 (February 1990): 138–39. http://dx.doi.org/10.1080/00029890.1990.11995563.
Full textGauthier, Yvon. "A quadratic reciprocity theorem for arithmetical logic." International Journal of Algebra 13, no. 8 (2019): 445–55. http://dx.doi.org/10.12988/ija.2019.91039.
Full textHashim, Hayder R. "Solutions of the Diophantine Equation 7X2 + Y7 = Z2 from Recurrence Sequences." Communications in Mathematics 28, no. 1 (June 1, 2020): 55–66. http://dx.doi.org/10.2478/cm-2020-0005.
Full textMeyer, Jeffrey L. "A reciprocity congruence for an analogue of the Dedekind sum and quadratic reciprocity." Journal de Théorie des Nombres de Bordeaux 12, no. 1 (2000): 93–101. http://dx.doi.org/10.5802/jtnb.268.
Full textTangedal, Brett A. "Eisenstein's Lemma and Quadratic Reciprocity for Jacobi Symbols." Mathematics Magazine 73, no. 2 (April 1, 2000): 130. http://dx.doi.org/10.2307/2691084.
Full textMack, Thomas. "A proof of quadratic reciprocity via linear recurrences." Acta Arithmetica 199, no. 4 (2021): 433–40. http://dx.doi.org/10.4064/aa210213-21-3.
Full textKim, Sey Y. "An Elementary Proof of the Quadratic Reciprocity Law." American Mathematical Monthly 111, no. 1 (January 2004): 48. http://dx.doi.org/10.2307/4145015.
Full textCzogała, Alfred, and Przemysław Koprowski. "Yet another proof of the quadratic reciprocity law." Acta Arithmetica 185, no. 3 (2018): 297–300. http://dx.doi.org/10.4064/aa180321-10-7.
Full textTangedal, Brett A. "Eisenstein's Lemma and Quadratic Reciprocity for Jacobi Symbols." Mathematics Magazine 73, no. 2 (April 2000): 130–34. http://dx.doi.org/10.1080/0025570x.2000.11996820.
Full textKim, Sey Y. "An Elementary Proof of the Quadratic Reciprocity Law." American Mathematical Monthly 111, no. 1 (January 2004): 48–50. http://dx.doi.org/10.1080/00029890.2004.11920046.
Full textBrunyate, Adrian, and Pete L. Clark. "Extending the Zolotarev–Frobenius approach to quadratic reciprocity." Ramanujan Journal 37, no. 1 (November 11, 2014): 25–50. http://dx.doi.org/10.1007/s11139-014-9635-y.
Full textTascı, Dursun, and Gul Ozkan Kızılırmak. "On the Periods of Biperiodic Fibonacci and Biperiodic Lucas Numbers." Discrete Dynamics in Nature and Society 2016 (2016): 1–5. http://dx.doi.org/10.1155/2016/7341729.
Full textLaubenbacher, Reinhard C., and David J. Pengelley. "Eisenstein's Misunderstood Geometric Proof of the Quadratic Reciprocity Theorem." College Mathematics Journal 25, no. 1 (January 1994): 29. http://dx.doi.org/10.2307/2687081.
Full textCastryck, Wouter. "A Shortened Classical Proof of the Quadratic Reciprocity Law." American Mathematical Monthly 115, no. 6 (June 2008): 550–51. http://dx.doi.org/10.1080/00029890.2008.11920561.
Full textVeklych, Bogdan. "A Minimalist Proof of the Law of Quadratic Reciprocity." American Mathematical Monthly 126, no. 10 (November 20, 2019): 928. http://dx.doi.org/10.1080/00029890.2019.1655331.
Full textLaubenbacher, Reinhard C., and David J. Pengelley. "Eisenstein's Misunderstood Geometric Proof of the Quadratic Reciprocity Theorem." College Mathematics Journal 25, no. 1 (January 1994): 29–34. http://dx.doi.org/10.1080/07468342.1994.11973576.
Full textSteven H. Weintraub. "On Legendre’s Work on the Law of Quadratic Reciprocity." American Mathematical Monthly 118, no. 3 (2011): 210. http://dx.doi.org/10.4169/amer.math.monthly.118.03.210.
Full textEichler, Martin. "The quadratic reciprocity law and the elementary theta function." Glasgow Mathematical Journal 27 (October 1985): 19–30. http://dx.doi.org/10.1017/s0017089500006042.
Full textStarkl, R., and L. del Re. "On the reciprocity of bilinear systems and their quadratic extensions." IFAC Proceedings Volumes 37, no. 13 (September 2004): 249–54. http://dx.doi.org/10.1016/s1474-6670(17)31231-4.
Full textKonstantinou, Elisavet, and Aristides Kontogeorgis. "Computing Polynomials of the Ramanujan tn Class Invariants." Canadian Mathematical Bulletin 52, no. 4 (December 1, 2009): 583–97. http://dx.doi.org/10.4153/cmb-2009-058-6.
Full textPeter, Manfred. "Dirichlet series and automorphic functions associated to a quadratic form." Nagoya Mathematical Journal 171 (2003): 1–50. http://dx.doi.org/10.1017/s0027763000025502.
Full textLu, Hui, and Ruiyao Niu. "Generation method of GPS L1C codes based on quadratic reciprocity law." Journal of Systems Engineering and Electronics 24, no. 2 (April 2013): 189–95. http://dx.doi.org/10.1109/jsee.2013.00024.
Full textGannon, Terry. "Postcards from the Edge, or Snapshots of the Theory of Generalised Moonshine." Canadian Mathematical Bulletin 45, no. 4 (December 1, 2002): 606–22. http://dx.doi.org/10.4153/cmb-2002-056-6.
Full textSchinzel, A., and M. Skałba. "An improvement of a lemma from Gauss’s first proof of quadratic reciprocity." Bulletin Polish Acad. Sci. Math. 65, no. 1 (2017): 29–33. http://dx.doi.org/10.4064/ba8109-4-2017.
Full textJi, Chun-Gang, and Yan Xue. "An elementary proof of the law of quadratic reciprocity over function fields." Proceedings of the American Mathematical Society 136, no. 09 (April 30, 2008): 3035–39. http://dx.doi.org/10.1090/s0002-9939-08-09327-1.
Full textAljohani, Abdulah Jeza, Muhammad Moinuddin, Ubaid M. Al-Saggaf, Mohammed El-Hajjar, and Soon Xin Ng. "Statistical Beamforming for Multi-Set Space–Time Shift-Keying-Based Full-Duplex Millimeter Wave Communications." Mathematics 11, no. 2 (January 13, 2023): 433. http://dx.doi.org/10.3390/math11020433.
Full textLaubenbacher, Reinhard C., and David J. Pengelley. "Gauss, eisenstein, and the “third” proof of the quadratic reciprocity theorem:ein kleines schauspiel." Mathematical Intelligencer 16, no. 2 (March 1994): 67–72. http://dx.doi.org/10.1007/bf03024287.
Full textFenster, Della Dumbaugh. "Why Dickson Left Quadratic Reciprocity Out of HisHistory of the Theory of Numbers." American Mathematical Monthly 106, no. 7 (August 1999): 618–27. http://dx.doi.org/10.1080/00029890.1999.12005095.
Full textFenster, Della Dumbaugh. "Why Dickson Left Quadratic Reciprocity out of His History of the Theory of Numbers." American Mathematical Monthly 106, no. 7 (August 1999): 618. http://dx.doi.org/10.2307/2589491.
Full textHABLICSEK, MÁRTON, and GUILLERMO MANTILLA-SOLER. "POWER MAP PERMUTATIONS AND SYMMETRIC DIFFERENCES IN FINITE GROUPS." Journal of Algebra and Its Applications 10, no. 05 (October 2011): 947–59. http://dx.doi.org/10.1142/s0219498811005051.
Full textHayashi, Heima. "Note on a product formula for the Bayad function and a law of quadratic reciprocity." Acta Arithmetica 149, no. 4 (2011): 321–36. http://dx.doi.org/10.4064/aa149-4-2.
Full textDasgupta, Samit. "Computations of Elliptic Units for Real Quadratic Fields." Canadian Journal of Mathematics 59, no. 3 (June 1, 2007): 553–74. http://dx.doi.org/10.4153/cjm-2007-023-0.
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