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refer_items.bib
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refer_items.bib
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@article{atkin1,
AUTHOR = { Alwaise, E. and Iannuzzi, E. and Swisher, H.},
TITLE = { { A proof of some conjectures of Mao on partition rank inequalities } },
JOURNAL = { The Ramanujan Journal, 43:3, 633-648},
FJOURNAL = {The Ramanujan Journal},
YEAR = {2017},
}
@article{atkin2,
AUTHOR = { Barman, R. and Baruah, N.D.},
TITLE = { { Certain Theta-function Identities and Ramanujan's Modular Equations of Degree 3 } },
JOURNAL = {Indian Journal of Mathematics},
volume ={48 (1)},
pages = {113-133},
YEAR = {2006},
}
@article{barman,
AUTHOR = {Barman, R. and Sachdeva, A. P. S.},
TITLE = { { Proof of a limited version of Mao's partition rank inequality using a theta function identity } },
JOURNAL = {Research in Number Theory, 2:22},
FJOURNAL = {Research in Number Theory},
YEAR = {2016},
}
@article{berndt,
AUTHOR = {Berndt, B.C.},
TITLE = { { Number Theory in the Spirit of Ramanujan } },
JOURNAL = {American Mathematical Society, 1-38},
FJOURNAL = {American Mathematical Society},
YEAR = {2006},
}
@article{dyson,
AUTHOR = {Dyson, F.J.},
TITLE = { { Some guesses in the theory of partitions } },
YEAR = {1944},
JOURNAL = {Eureka (Cambridge) vol. 8, 10-15},
}
@article{mao1,
AUTHOR = {Mao, R.},
TITLE = {{ Ranks of partitions modulo 10 }},
YEAR = {2013},
JOURNAL = {J. Number Theory, 133(11):3678-3702},
}
@article{mao2,
AUTHOR = {Mao, R.},
TITLE = {{The M2-Rank of partitions without repeated odd parts modulo 6 and 10}},
YEAR = {2015},
JOURNAL = {Ramanujan J., 87(2):394-479},
}
@article{Lin2017,
author = {Lin, B.L.S.},
journal = {Journal of Number Theory},
pages = {31-42},
title = {{Congruences modulo 27 for cubic partition pairs}},
volume = {171},
year = {2017},
}
@article{chan1,
author = {Chan, H.C.},
journal = {Int. J. of Number Theory},
pages = {819-834},
title = {{Ramanujan’s cubic continued fraction and a generalization of his “most beautiful identity”}},
volume = {6},
year = {2010},
}
@article{chan2,
author = {Chan, H.C.},
journal = {Int. J. of Number Theory},
pages = {819-834},
title = {{Ramanujan’s cubic continued fraction and Ramanujan type congruences for a certain partition function}},
volume = {6},
year = {2010},
}
@article{chan3,
author = {Chan, H.C.},
journal = {Acta Math. Sin.},
pages = {625-634},
title = {{Distribution of a certain partition function modulo powers of primes}},
volume = {27},
year = {2011},
}
@article{kim1,
author = { Kim, B.},
title = {{The overcubic partition function mod 3}},
journal = {Lecture Note
Series of the Ramanujan Mathematical Society},
year = {2010},
volume = {14},
pages = {157-163},
}
@article{kim2,
author = { Kim, B.},
title = {{Partition statistics for cubic partition pairs}},
journal = {Electron. J. Combin.},
year = {2011},
volume = {18},
pages = {128},
}
@article{kim3,
author = { Kim, B.},
title = {{On partition congruences for overcubic partition pairs}},
journal = {Commun. Korean Math. Soc.},
year = {2012},
volume = {27},
pages = {477-482},
}
@article{zhao1,
author = { Zhao, H. and Zhong, Z. },
title = {{Ramanujan type congruences for a partition function}},
journal = {Electron. J. Combin.},
year = {2011},
volume = {18},
pages = {58},
}
@article{gireesh,
title={{General family of congruences modulo larrge powers of 3 for cubic partition pairs}},
author={Gireesh, D.S. and Naika, M.S.M.},
journal={New Zealand Journal of Mathematics},
volume={47},
pages={43-56},
year={2017}
}
@article{cooper,
author = {Cooper, S.},
year = {2010},
pages = {33-58},
title = {{Series and iterations for 1/p}},
volume = {141},
journal = {Acta Arithmetica}
}
@article{hwan,
author = {Hwan Son, S.},
year = {1998},
pages = {303-316},
title = {{Cubic Identities Of Theta Functions}},
volume = {2},
journal = {The Ramanujan Journal}
}
@article{sellers,
author = {Hirschhorn, M.D. and Sellers, J.A.},
year = {2016},
pages = {193-200},
title = {{Infinitely many congruences modulo 5 for 4-colored Frobenius partitions}},
volume = {40 (1)},
journal = {Ramanujan J.}
}
@article{berndt2,
AUTHOR = {Berndt, B.C.},
TITLE = {{Ramanujan’s Notebooks}},
JOURNAL = {Springer-Verlag, Part III},
FJOURNAL = {Springer-Verlag},
YEAR = {1991},
}