## Nayandeep Deka Baruah

Designation :Professor

Qualification :M. Sc (IIT, Kanpur), PhD (Tezpur University)

Specialisation :Number Theory (Ramanujan's Mathematics)

Date of Joining TU :6 February, 1997

Click Here for Updated CV (2024)

Selected Publications

(58)Nayandeep Deka Baruah: Divisibility of sums of partition numbers by multiples of 2 and 3, Bulletin of the Australian Mathematical Society, to appear.

(57)Nayandeep Deka Baruah(with Abhishek Sarma): Differences of even and odd numbers of parts of the cubic and analogous partition functions, Bol. Soc. Mat. Mex., Vol. 29, #A94, 24 pp., 2023.

(56)Nayandeep Deka Baruah(with Subhajit Bandyopadhyay): A note on the number of representations of n as a sum of generalized polygonal numbers, Integers, to appear, 8 pp., 2023.

(55)Nayandeep Deka Baruah(with Subhash Chandra Bhoria, Pramod Eyyunni and Bibekananda Maji): A refinement of a result of Andrews and Newman on the sum of minimal excludeants, The Ramanujan Journal, 2023.

(54)Nayandeep Deka Baruah(with Hirakjyoti Das and Pranjal Talukdar): Congruences for k-elongated plane partition diamonds, International Journal of Number Theory, Vol. 19, pp. 2121 - 2139, 2023.

(53)Nayandeep Deka Baruah: Ramanujan's modular equations with applications to partitions, in Srinivasa Ramanujan: His Life, Legacy, and Mathematical Inuence, G. E. Andrews, B. C. Berndt, F. Garvan, K. Ono, P.Paule, S. O. Warnaar and A.J. Yee (Editors), Springer, 2023.

(52)Nayandeep Deka Baruah(with Hirakjyoti Das): Congruences for the coefficients of a pair of third and sixth order mock theta functions, The Ramanujan Journal, Vol. 61, pp. 1269 - 1282, 2023.

(51)Nayandeep Deka Baruah(with Hirakjyoti Das): Innite families of congruences modulo powers of 2 for some partition functions involving only odd parts, International Journal of Number Theory, Vol. 18, pp. 1843-1862,2022.

(50)Nayandeep Deka Baruah(with Hirakjyoti Das):On 3k-regular cubic partitions,Journal of the Korean Mathematical Society, Vol. 59, pp. 685-697, 2022.

(49)Nayandeep Deka Baruah(with Hirakjyoti Das): Matching Coefficients in the series expansions of certain q-products and their reciprocals, The Ramanujan Journal, Vol. 59, pp. 511-548, 2022.

(48)Nayandeep Deka Baruah(with Hirakjyoti Das): Relations among representations of integers by certain quadratic forms, Indian Journal of Pure and Applied Mathematics, Vol. 53, pp. 672-682, 2022.

(47)Nayandeep Deka Baruah(with Hirakjyoti Das): Generating functions and congruences for 9-regular and 27-regular partitions in 3 colors, Hardy-Ramanujan Journal (Special Commemorative volume in honour of Srinivasa Ramanujan), Vol. 44, pp. 101-115, 2021.

(46)Nayandeep Deka Baruah(with Hirakjyoti Das):Families of congruences for fractional partition functions modulo powers of primes, Research in Number Theory, Vol. 7, Article No. 57, 21 pp., 2021.

(45)Nayandeep Deka Baruah(with Subhajit Bandyopadhyay ): The n-color partition function and some counting theorems, Integers, Vol. 21, #A83, 16 pp., 2021.

(44)Nayandeep Deka Baruah(with Mandeep Kaur): A note on some recent results of Da Silva and Sellers on congruences for k-regular partitions with designated summands, Integers, Vol. 20, #A74, 6 pp., 2020 .

(43)Nayandeep Deka Baruah(with Mandeep Kaur):Some results on vanishing coecients in in nite product expansions, The Ramanujan Journal, Vol.53, No. 3, pp. 551-568, 2020.

(42)Nayandeep Deka Baruah(with Mandeep Kaur): New congruences modulo 2, 4, and 8 for the number of tagged parts over the partitions with designated summands, The Ramanujan Journal, Vol. 52, No. 2, pp. 253-274, 2020 .

(41)Nayandeep Deka Baruah(with Nilufar Mana Begum): Generating functions and congruences for some partition functions related to mock theta functions, International Journal of Number Theory, Vol. 16, No. 2, pp.423-446, 2020 .

(40)Nayandeep Deka Baruah (with Mandeep Kaur, Mingyu Kim, Byeong Kweon Oh):Proofs of some conjectures by Z. -H. Sun on relations between sums of squares and sums of triangular numbers, Indian Journal of Pure and Applied Mathematics, Vol. 51, No. 1, pp. 11-38, 2020 .

(39)Nayandeep Deka Baruah (with Nilufar Mana Begum): Proofs of some conjectures of Chan on Appell-Lerch sums, The Ramanujan Journal, Vol.51, No. 1, pp. 99-115, 2020 .

(38)Nayandeep Deka Baruah (with Nilufar Mana Begum): On Exact generating functions for the number of partitions into distinct parts, International Journal of Number Theory, Vol. 14, No. 7, pp. 1995- 2011, 2018.

(37)Nayandeep Deka Baruah (with Bidyut Boruah): Partition identities arising from Ramanujan's formulas for multipliers, The Ramanujan Journal, Vol. 42, pp. 241-265, 2017.

(36)Nayandeep Deka Baruah (with Zakir Ahmed): New congruences for `- regular partitions for ` 2 f5; 6; 7; 49g, The Ramanujan Journal, Vol. 40, pp. 649-668, 2016.

(35)Baruah, Nayandeep Deka (with Zakir Ahmed and Manosij Ghosh Dastidar): New congruences modulo 5 for the number of 2-color partitions, Journal of Number Theory, Vol. 151, pp. 184-198, 2015

(34)Baruah, Nayandeep Deka (with Zakir Ahmed): Congruences modulo p^2 and p^3 for k dots bracelet partitions with k = mp^s, Journal of Number Theory, Vol. 151, pp. 129-146, 2015.

(33)Baruah, Nayandeep Deka (with Zakir Ahmed): New congruences for Andrews' singular overpartitions, International Journal of Number Theory, Vol.II, pp. 2247-2264, 2015.

(32)Baruah, Nayandeep Deka (with Kuwali Das): Parity results for 7-regular and 23-regular partitions, International Journal of Number Theory, Vol.II, pp. 2221-2238, 2015.

(31)Baruah, Nayandeep Deka (with Kallol Nath): Infinite families of arithmetic identities and congruences for bipartitions with 3-cores, Journal of Number Theory, Vol. 149, pp. 92-104, 2015.

(30)Baruah, Nayandeep Deka (with Zakir Ahmed): Parity results for broken 5-diamond, 7-diamond and 11-diamond partitions, International Journal of Number Theory, Vol. 11, pp. 527-542, 2015.

(29)Baruah, Nayandeep Deka (with Bipul Kumar Sarmah): Generalized Frobenius partitions with 6 colors, The Ramanujan Journal, VoL.38, pp. 361-382, 2015.

(28)Baruah, Nayandeep Deka (with Bidyut Boruah): Colored partition identities conjectured by Sandon and Zanello, The Ramanujan Journal, Vol. 37, pp. 479-533, 2015.

(27)Baruah, Nayandeep Deka (with Kallol Nath): Infinite families of arithmetic identities for doubled distinct t-cores for t = 3, 4,10, International Journal of Number Theory, Vol. 10, pp. 85-113, 2014.

(26)Baruah, Nayandeep Deka (with Kallol Nath): Infinite families of arithmetic identities for self-conjugate 5-cores and 7-cores, Discrete Mathematics, Vol. 321, pp. 57-67, 2014.

(25)Baruah, Nayandeep Deka (with Kallol Nath): Some results on 3-cores, Proceedings of the American Mathematical Society, Vol. 142, pp. 441-448, 2014.

(24)Baruah, Nayandeep Deka (with Bipul Kumar Sarmah): Identities and congruences for the general partition and Ramanujan's tau functions, Indian Journal of Pure and Applied Mathematics, Vol. 44, pp. 643-671, 2013.

(23)Baruah, Nayandeep Deka (with Kallol Nath): Infinite families of arithmetic identities for 4-cores, Bulletin of the Australian Mathematical Society, Vol. 87, pp. 304-315, 2013.

(22)Baruah, Nayandeep Deka (with Jonali Bora and Kanan Kumari Ojah): Ramanujan's modular equations of degree 5, Proceedings of the Indian Academy of Science (Mathematical Sciences), Vol. 122, No. 4, pp. 485-506, 2012.

(21)Baruah, Nayandeep Deka (with Kanan Kumari Ojah): Analogues of Ramanujan's partition identities and congruences arising from his theta functions and modular equations, The Ramanujan Journal, Vol. 28, Issue 3, pp. 385-407, 2012.

(20)Baruah, Nayandeep Deka (with Bipul Kumar Sarmah): Identities for selfconjugate 7- and 9-core partitions, International Journal of Number Theory, Vol. 8, Issue 3, pp. 653-667, 2012.

(19)Baruah, Nayandeep Deka (with Kanan Kumari Ojah): Some congruences deducible from Ramanujan's cubic continued fraction, International Journal of Number Theory, Vol. 7, Issue 5, pp. 1331-1343, 2011.

(18)Baruah, Nayandeep Deka (with Bipul Kumar Sarmah): Congruences for generalized Frobenius partitions with 4 colors, Discrete Mathematics, Vol. 311, Issue 17, pp. 1892-1902, 2011.

(17)Baruah, Nayandeep Deka (with Narayan nayak): New hypergeometriclike series for 1/pi^2 arising from Ramanujan's theory of elliptic functions to alternative base 3, Transactions of the American Mathematical Society, Vol. 363, Issue 2, pp. 887-900, 2011.

(16)Baruah, Nayandeep Deka (with Rupam Barman): Ramanujan's modular equations of degree 15 and associated theta-function identities, Proceedings of the Indian Academy of Sciences (Mathematics Sciences), Vol. 120, Issue 3, pp. 267-284, 2010.

(15)Baruah, Nayandeep Deka (with Bruce C. Berndt): Eisenstein Series and Ramanujan-type series for 1=, The Ramanujan Journal, Vol. 23, Issues 1-3, pp. 17-33, 2010.

(14)Baruah, Nayandeep Deka (with Bruce C. Berndt): Ramanujan's Eisenstein series and new hypergeometric-like series for 1/pi^2, Journal of Approximation Theory, Vol. 160, Issues 1-2, pp. 135-153, 2009.

(13) Baruah, Nayandeep Deka (with Bruce C. Berndt and Heng Huat Chan): Ramanujan's series for 1/pi: A survey, Mathematics Student (Special Centenary Volume), pp. 1-24, 2007; American Mathematical Monthly, Vol. 116, No. 7, pp. 567-587, 2009.

(12)Baruah, Nayandeep Deka (with Shaun Cooper and Michael Hirschhorn): Sums of squares and sums of triangular numbers induced by partitions of 8, International Journal of Number Theory, Vol. 4, No. 4, pp. 525-538, 2008.

(11)Baruah, Nayandeep Deka (with Bruce C. Berndt): Partition identities arising from theta function identities, Acta Mathematica Sinica, English Series, Vol. 24, No. 6, pp. 955-970, 2008.

(10)Baruah, Nayandeep Deka (with Nipen Saikia): Explicit evaluations of Ramanujan-Gollnitz-Gordon continued fraction, Monatshefte fur Mathematik, Vol. 154, No. 4, pp. 271-288, 2008.

(9)Baruah, Nayandeep Deka (with Jonali Bora): Modular equations for the nonic analogues of the Rogers-Ramanujan functions with applications to partitions, Journal of Number Theory, Vol. 128, No. 1, pp. 175-206, 2008.

(8)Baruah, Nayandeep Deka (with Bruce C. Berndt): Ramanujan's series for 1/pi arising from his cubic and quartic theories of elliptic functions, Journal of Mathematical Analysis and Applications, Vol. 341, No. 1, pp. 357-371, 2008.

(7)Baruah, Nayandeep Deka (with Jonali Bora and Nipen Saikia): Some new proofs of the modular relations for the Gollnitz-Gordon functions, The Ramanujan Journal, Vol. 15, No. 2, pp. 281-301, 2008.

(6)Baruah, Nayandeep Deka (with Bruce C. Berndt): Partition identities and Ramanujan's modular equations, Journal of Combinatorial Theory, Series A, Vol. 114, No. 6, pp. 1024{1045, 2007.

(5)Baruah, Nayandeep Deka (with Nipen Saikia): Two parameters for Ramanujan's theta-functions and their explicit values, Rocky Mountain Journal of Mathematics, Vol. 37, No. 6 , pp. 1747-1790, 2007.

(4)Baruah, Nayandeep Deka (with Nipen Saikia): Some general theorems on the explicit evaluations of Ramanujan's cubic continued fraction; Journal of Computational and Applied Mathematics, Vol. 160, Nos. 1-2, pp. 37-51, 2003.

(3)Baruah, Nayandeep Deka: On some of Ramanujan's Schlai-type "Mixed" modular equations; Journal of Number Theory, Vol. 100, No. 2, pp. 270-294, 2003.

(2)Baruah, Nayandeep Deka: Modular equations for Ramanujan's cubic continued fraction; Journal of Mathematical Analysis and Applications, Vol. 268, No. 1, pp. 244-255, 2002.

(1)Baruah, Nayandeep Deka: A few theta-function identities and some of Ramanujan's modular equations; The Ramanujan Journal, Vol. 4, No. 3, pp. 239-250, 2000.