Publication
The overpatition function modulo 128, Integers 8 (2008), A #38.
A short note on the overpartition function, Discrete Math. 309 (2009), 2528-2532.
On inequalities and linear relations for 7-core partitions , Discrete Math., 310 (2010), 861-868.
Combinatorial proofs of certain identities involving partial theta functions, Int. J. Number Theory 6 (2010), 1-12.
Ramanujan's lost notebook: Combinatorial proof of identities associated with Heine's transformation or partial theta functions(with B. Berndt and A.J. Yee), J. Combin. Theory Ser. A 117(2010), 957-973.
On the subpartitions of the ordinary partitions, Ramanujan J.(Special issue for G.E. Andrews' 70th birthday) 23 (2010), 159-167.
The overcubic partition function mod 3, Proceedings of Ramanujan Rediscovered 2009: A Conference in Memory of K. Venkatachaliengar on the Centenary of His Birth, Lecture Note Series of the Ramanujan Mathematical Society 14 (2010), 157-163..
A crank analog on a certain kind of partition function arising from the cubic continued fraction, Acta Arith. 148 (2011), 1-19.
Overpartition pairs modulo powers of 2, Discrete Math. 311(2011), 835-840.
Partition Statistics for cubic partition pairs, Electronic J. of Combinatorics 18 (2011), P128.
Asymptotic expansions of certain partial theta functions (with B. Berndt), Proc. AMS 139 (2011), 3779-3789.
Periodicity of signs of Fourier coefficients of eta quotients, J. Math. Anal. App. 385 (2012), 998-1004.
On the number of partitions of n into k different parts. Journal of Number Thy 132 ( 2012), 1306-1313.
On Partition congruences for overcubic partition pairs, Comm. KMS 27 (2012), 477-482.
Partition identities from third and sixth order mock theta functions (with Y.-S. Choi), European J. Comb. 33 (2012), 1739-1754.
The odd moments of ranks and cranks (with G.E. Andrews and S. H. Chan), J. Combin. Thy. Ser. A 120 (2013), 77-91.
Euler products in Ramanujan's lost notebook (with B.C. Berndt and K.S. Williams), Inter. J. Number Thy, 9 (2013), 1313-1349.
Sign-periodicity of traces of singular moduli (with D. Choi and S. Lim), Mathematics (MDPI) 2013, 1(4), 111-118.
Explicit bounds for the number of p-core partitions (with J. Rouse), Trans. AMS 366 (2014), 875--902.
Eichler integrals and harmonic weak Maass forms (with D. Choi and S. Lim), J. Math. Anal. App. 411 (2014), 429-441.
On the number of even and odd strings along the overpartitions of n (with E. Kim and J. Seo), Arch. Math. 102 (2014), 357-368.
The rank of a unimodal sequence and a partial theta identity of Ramanujan (with J. Lovejoy) , IJNT 10 (2014), 1081-1098.
Mock modular grids and Hecke relations for mock modular forms (with S. Ahlgren), Forum. Math. 26 (2014), 1261-1287.
On the subpartitions of the ordinary partitions, II (with E. Kim), Elec. J. Comb 21(2014) P4.21.
On a conjecture of Soon-Yi Kang on a certain partition rank difference (with H. Nam), Ramanujan J 35 (2014), 467-477.
Mock theta functions and weakly holomorphic modular forms modulo 2 and 3 (with S. Ahlgren), Math. Proc. Camb. Phil. Soc. 158(2015), 111-129.
Asymptotics for q-expansions involving partial theta functions (with E. Kim and J. Seo), Discrete Math. 338 (2015), 180--189.
On asymptotic formulas for certain q-series involving partial theta functions (with S. Jo), Proc. AMS 143 (2015). 3253--3263.
Dissections of a ``strange" function (with S. Ahlgren), Int. J. Number Thy 11 (2015), 1557-1562.
Ramanujan-type partial theta identities and rank differences for special unimodal sequences (with J. Lovejoy), Annals Comb. 19 (2015), 705-733.
Cubic partition pairs weighted by the parity of the crank, Korean J. Math. 23 (2015), No. 4, pp. 637-642.
A remark on tail distributions of partition rank and crank, Bull. Aust. Math. Soc. 93 (2016), 31-36.
On the asymptotic behavior of unimodal rank generating functions (with K. Bringmann), JMAA 435 (2016), 627-645.
The first positive rank and crank moments for overpartitions (with G.E. Andrews, S. H. Chan and R. Osburn), Annals Comb. 20 (2016), 193-207.
L-series for vector-valued modular forms (with S. Lim), Taiwanese J. Math. 20 (2016), 705-722.
Odd-balanced unimodal sequences and related functions: parity, mock modularity and quantum modularity (with S. Lim and J. Lovejoy), Proc. Amer. Math. Soc. 144 (2016), 3687--3700.
Combinatorial proof of a partial theta function identity of Warnaar(with Kathy Ji and J.-S. Kim), Int. J. Number Thy 12 (2016), 1475-1482.
On the asymptotic distribution of cranks and ranks of cubic partitions (with E. Kim and H. Nam), J. Math. Anal. Appl. 443 (2016), 1095-1109.
An overpartition analogue of q-binomial coefficients (with J. Dousse), Ramanujan J 42 (2017), 267-283.
Partial indefinite theta identities (with J. Lovejoy), J. Aust. Math. Soc. 102 (2017), 255-289.
Overpartitions into distinct parts without short sequences (with Youn-Seo Choi and J. Lovejoy), J. Number Thy 175 (2017), 117-133.
Group Actions on Partitions, Electronic J. Comb. 24 (2017), #P3.58.
On spt-crank type functions (with Min-Joo Jang), Ramanujan J. 45 (2018), 211-225.
Multiplicative functions additive on generalized pentagonal numbers (with J.-Y. Kim, C.-G. Lee, and P.-S. Park), Compus Rendus Math. 356 (2018), 125-128.
Polygonal partitions, Korean J. Math 26 (2018), 167--174.
Congruences for a mock modular form on SL2(Z) and the smallest parts function (with Scott Ahlgren), J. Number Thy 189 (2018), 81-89.
An overpartition analogue of q-binomial coefficients, II: combinatorial proofs and (q,t)-log concavity (with J. Dousee), J. Comb. Thy. Series A 158(2018), 228-253.
Ramanujan-type partial theta identities and conjugate Bailey pairs, II. Multisums (with J. Lovejoy), Ramanujan J. 46 (2018), 743-764.
On Some double-sum false theta series (with Song Heng Chan), J. Number Thy 190 (2018), 40-55.
On the crank function of cubic partition pairs (with Pee Choon Toh), Annals. Comb. 22 (2018), no. 4, 803--818.
On an involution on partitions with crank 0, East Asian Math J. 35 (2019), 9--15.
Asymptotics on certain double series in Eulerian form (with E. Kim), Int. J. Number Thy 15 (2019) , 1009-1021.
On the partitions into squares whose reciprocal sum is one (with J.-Y. Kim, C.-G. Lee, and P.-S. Park), Publ. Math. Debrecen 95 (2019), 243--247.
Pairs of eta-quotients with dual weights and their applications (with Dohoon Choi and Subong Lim), Adv. Math. 355 (2019). 106779, 51pp.
Dissections of strange q-series (with Scott Ahlgren and Jeremy Lovejoy), Annals. Comb. 23 (2019), 427-–442. (ArXiv)
On the number of equivalence classes arising from partition involutions (with Jisun Huh), Int. J. Number Thy 16 (2020), no.5, 925--939.
Parity bias in Partitions (with Eunmi Kim and Jeremy Lovejoy), European J. Comb. 89 (2020), 103159, 19 pp.
Arithmetic properties of triangular partitions, Korean J. Math. 28(2020), No. 4, 791--802.
On weighted overpartitions related to some q-series in Ramanujan's lost notebook (with Eunmi Kim and Jeremy Lovejoy), Int. J. Number Theory, 17 (2021), no. 3, 603–619.
(Special Issue in honor of Bruce Berndt)A reinforcement learning based algorithm to find a triangular Graham partition, Hardy-Ramanujan J. 43 (2021), 91--98. (Commemorative volume in honor of Srinivasa Ramanujan, part I)
On the number of equivalence classes arising from partition involutions II (with Jisun Huh), Discrete Math, 344 (2021), no. 7, 112410.
Multiplicative functions additive on polygonal numbers (with Ji Young Kim, Chong Gyu Lee, and Poo-Sung Park), Aequationes Math. 95 (2021), no. 4, 601–621.
Biases in integer partitions (with Eunmi Kim)
Bull. Austrailian Math. Soc 104 (2021), 177--186.A survey on t-core partitions (with Hyunsoo Cho, Hayan Nam,and Jaebum Sohn), Hardy-Ramanujan J. 44 (2021), 81--101.
(Commemorative volume in honor of Srinivasa Ramanujan, Part II)On the existence of Graham partitions with congruence conditions (with Ji Young Kim, Chong Gyu Lee, Sang June Lee, and Poo-Sung Park), Bulletin of Korean Math. Soc 59 (2022), 15--25.
Refined Parity Biases in Integer Partitions (with Eunmi Kim), Discere Math, 346 (2023), Paper No. 113308.
Asymptotics and sign patterns for coefficients in expansions of Habiro elements (with Ankush Goswami, Abhash Jha, and Robert Osburn), Math. Z 304 (2023), no.4, Article No. 57. Open Access
On Graham partitions twisted by the Legendre symbol (with team SQUARE), Open Mathematics, 21(1), 20230134 Open Access
Parity bias for the partitions with bounded number of appearances of the part of size 1 (with Eunmi Kim), Ramanujan J. 63 (2024), 657--671. `