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SOME NEW GENERAL CONGRUENCE PROPERTIES FOR pr(n)

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We study certain supplementary congruences for pr(n) where n and r are non-negative integers with the application of theta function identities which are attributed to Ramanujan.

Abstract

We study certain supplementary congruences for pr(n) where n and r are non-negative integers with the application of theta function identities which are attributed to Ramanujan.

참고문헌 (16)

  1. A. O. L. Atkin, "Ramanujan congruences for pk(n)", Canad. J. Math, 20, pp.67~78 (1968)
  2. Z. Ahmed, "New congruences for l-regular partitions for l 2 f5; 6; 7; 49g", Ramanujan J., 40, pp.649~668 (2016)
  3. N. D. Baruah, "Some congruences deducible from Ramanujan's cubic continued fraction", Int. J. Number Theory, 07, pp.1331~1343 (2011)
  4. B. C. Berndt, "Ramanujan's Notebooks. Part III" (1991), Springer
  5. B. C. Berndt, "Ramanujan: Letters and commentary", American Math-ematical Society Providence (1995)
  6. S. P. Cui, "Arithmetic properties of ι-regular partitions", Adv. in Appl. Math, 51, pp.507~523 (2013)
  7. J. M. Gandhi, "Congruences for pr(n) and Ramanujan's τ function", Am. Math. Mon, 70, pp.265~274 (1963)
  8. M. D. Hirschhorn, "Ramanujan's tau function, in: Analytic number theory, modular forms and q-hypergeometric series", Springer Proc. Math. Stat, 221, pp.311~328 (2017), Springer
  9. P. Murugan, "Some congruences for Ramanujan's general partition func-tion", Palestine J. Math
  10. M. Newmann, "Congruence for the coeffcients of modular forms and some new con-gruences for the partition function", Canad. J. Math, 151(1), pp.293~307 (2000)
  11. K. Ono, "Distribution of the partition function modulo m", Ann. Math, 59(4), pp.348~360 (1992)
  12. D. A. Radha, "Some Congruence Properties for Ramanujan's General Partitions", Proceedings of the Jangjeon Mathematical Society, 23(3), pp.415~423 (2020)
  13. K. G. Ramanathan, "Identities and congruences of the Ramanujan type", Canad. J. Math, 2, pp.168~178 (1950)
  14. N. Saikia, "Infinite family of congruences modulo 7 for Ramanujan's general partition function", Ann. Math. Quebec, 42(1), pp.127~132 (2018)
  15. N. Saikia, "General congruences modulo 5 and 7 for colour partitions", J Anal, 29, pp.917~926 (2021)
  16. B. R. Srivatsa Kumar, "Some new congruences modulo 5 for the general partition function", Russ Math, 64, pp.73~78 (2020)

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