Relevant bibliographies by topics / Ramanujan cubic continued fraction

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Ramanujan cubic continued fraction'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Ramanujan cubic continued fraction"

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Adiga, Chandrashekar, A. Vanitha, and M. S. Surekha. "Continued Fractions of Order Six and New Eisenstein Series Identities." Journal of Numbers 2014 (May 27, 2014): 1–6. http://dx.doi.org/10.1155/2014/643241.

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We prove two identities for Ramanujan’s cubic continued fraction and a continued fraction of Ramanujan, which are analogues of Ramanujan’s identities for the Rogers-Ramanujan continued fraction. We further derive Eisenstein series identities associated with Ramanujan’s cubic continued fraction and Ramanujan’s continued fraction of order six.
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BARUAH, NAYANDEEP DEKA, and KANAN KUMARI OJAH. "SOME CONGRUENCES DEDUCIBLE FROM RAMANUJAN'S CUBIC CONTINUED FRACTION." International Journal of Number Theory 07, no. 05 (2011): 1331–43. http://dx.doi.org/10.1142/s1793042111004745.

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We present some interesting Ramanujan-type congruences for some partition functions arising from Ramanujan's cubic continued fraction. One of our results states that if p3(n) is defined by [Formula: see text], then p3(9n + 8) ≡ 0 (mod 34).
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CHAN, HEI-CHI. "RAMANUJAN'S CUBIC CONTINUED FRACTION AND RAMANUJAN TYPE CONGRUENCES FOR A CERTAIN PARTITION FUNCTION." International Journal of Number Theory 06, no. 04 (2010): 819–34. http://dx.doi.org/10.1142/s1793042110003241.

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Chan, Heng. "On Ramanujan's cubic continued fraction." Acta Arithmetica 73, no. 4 (1995): 343–55. http://dx.doi.org/10.4064/aa-73-4-343-355.

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Chan, Heng Huat, and Kok Ping Loo. "Ramanujan's cubic continued fraction revisited." Acta Arithmetica 126, no. 4 (2007): 305–13. http://dx.doi.org/10.4064/aa126-4-2.

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Berndt, Bruce, Heng Chan, and Liang-Cheng Zhang. "Ramanujan's class invariants and cubic continued fraction." Acta Arithmetica 73, no. 1 (1995): 67–85. http://dx.doi.org/10.4064/aa-73-1-67-85.

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Naika, M. S. Mahadeva, S. Chandankumar, and K. Sushan Bairy. "New identities for Ramanujan's cubic continued fraction." Functiones et Approximatio Commentarii Mathematici 46, no. 1 (2012): 29–44. http://dx.doi.org/10.7169/facm/2012.46.1.3.

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Deka Baruah, Nayandeep. "Modular Equations for Ramanujan's Cubic Continued Fraction." Journal of Mathematical Analysis and Applications 268, no. 1 (2002): 244–55. http://dx.doi.org/10.1006/jmaa.2001.7823.

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CHAN, HEI-CHI. "RAMANUJAN'S CUBIC CONTINUED FRACTION AND AN ANALOG OF HIS "MOST BEAUTIFUL IDENTITY"." International Journal of Number Theory 06, no. 03 (2010): 673–80. http://dx.doi.org/10.1142/s1793042110003150.

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Cho, Bumkyu, Ja Kyung Koo, and Yoon Kyung Park. "On Ramanujan's cubic continued fraction as a modular function." Tohoku Mathematical Journal 62, no. 4 (2010): 579–603. http://dx.doi.org/10.2748/tmj/1294170348.

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Dissertations / Theses on the topic "Ramanujan cubic continued fraction"

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Chen, Ting-Chi, та 陳庭淇. "Iterations to π Associated with the Cubic and the Rogers-Ramanujan Continued Fractions". Thesis, 2008. http://ndltd.ncl.edu.tw/handle/93277075219754024804.

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Vivek, Srinivas V. "On A Cubic Sieve Congruence Related To The Discrete Logarithm Problem." Thesis, 2010. https://etd.iisc.ac.in/handle/2005/1996.

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There has been a rapid increase interest in computational number theory ever since the invention of public-key cryptography. Various attempts to solve the underlying hard problems behind public-key cryptosystems has led to interesting problems in computational number theory. One such problem, called the cubic sieve congruence problem, arises in the context of the cubic sieve method for solving the discrete logarithm problem in prime fields. The cubic sieve method requires a nontrivial solution to the Cubic Sieve Congruence (CSC)x3 y2z (mod p), where p is a given prime. A nontrivial solutio
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Vivek, Srinivas V. "On A Cubic Sieve Congruence Related To The Discrete Logarithm Problem." Thesis, 2010. http://etd.iisc.ernet.in/handle/2005/1996.

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There has been a rapid increase interest in computational number theory ever since the invention of public-key cryptography. Various attempts to solve the underlying hard problems behind public-key cryptosystems has led to interesting problems in computational number theory. One such problem, called the cubic sieve congruence problem, arises in the context of the cubic sieve method for solving the discrete logarithm problem in prime fields. The cubic sieve method requires a nontrivial solution to the Cubic Sieve Congruence (CSC)x3 y2z (mod p), where p is a given prime. A nontrivial solution
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Book chapters on the topic "Ramanujan cubic continued fraction"

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Cooper, Shaun. "Level 6: Ramanujan’s Cubic Continued Fraction." In Ramanujan's Theta Functions. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-56172-1_7.

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Andrews, George E., and Bruce Berndt. "A Fragment on the Rogers-Ramanujan and Cubic Continued Fractions." In Ramanujan’s Lost Notebook. Springer New York, 2005. http://dx.doi.org/10.1007/0-387-28124-x_4.

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Berndt, Bruce. "The Rogers-Ramanujan continued fraction." In Number Theory in the Spirit of Ramanujan. American Mathematical Society, 2006. http://dx.doi.org/10.1090/stml/034/07.

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Cooper, Shaun. "Level 5: The Rogers–Ramanujan Continued Fraction." In Ramanujan's Theta Functions. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-56172-1_6.

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Berndt, Bruce C., and Ae Ja Yee. "On the Generalized Rogers-Ramanujan Continued Fraction." In Developments in Mathematics. Springer US, 2003. http://dx.doi.org/10.1007/978-1-4757-6044-6_23.

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Hirschhorn, Michael D. "The Rogers–Ramanujan Identities and the Rogers–Ramanujan Continued Fraction." In The Power of q. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-57762-3_15.

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Cooper, Shaun. "Level 8: The Ramanujan–Göllnitz–Gordon Continued Fraction." In Ramanujan's Theta Functions. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-56172-1_9.

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Andrews, George E., and Bruce Berndt. "Rogers-Ramanujan Continued Fraction and Its Modular Properties." In Ramanujan’s Lost Notebook. Springer New York, 2005. http://dx.doi.org/10.1007/0-387-28124-x_2.

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Andrews, George E., and Bruce Berndt. "Explicit Evaluations of the Rogers-Ramanujan Continued Fraction." In Ramanujan’s Lost Notebook. Springer New York, 2005. http://dx.doi.org/10.1007/0-387-28124-x_3.

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Andrews, George E., Lisa Jacobsen, Bruce C. Berndt, and Robert L. Lamphere. "Variations on the Rogers-Ramanujan continued fraction in Ramanujan's notebooks." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/bfb0086400.

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Conference papers on the topic "Ramanujan cubic continued fraction"

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Antoniou, George E., and P. A. Katsalis. "2-D Roger-Ramanujan continued fraction and inversion." In 2009 International Symposium on Signals, Circuits and Systems - ISSCS 2009. IEEE, 2009. http://dx.doi.org/10.1109/isscs.2009.5206204.

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Journal articles
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