Abstract
We prove two conjectures of Paule and Radu from their recent paper on broken k-diamond partitions.
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Andrews G.E., Paule P.: MacMahon’s partition analysis XI: broken diamonds and modular forms. Acta Arith. 126(3), 281–294 (2007)
Ono, K.: The web of modularity: arithmetic of the coefficients of modular forms and q-series. CBMS Reg. Conf. Ser. Math., Vol. 102. American Mathematical Society, Providence, RI (2004)
Paule P., Radu S.: Infinite families of strange partition congruences for broken 2- diamonds. Ramanujan J. 23(1-3), 409–416 (2010)
Xiong X.: Two congruences involving Andrews-Paule’s broken 3-diamond partitions and 5-diamond partitions. Proc. Japan Acad. Ser. A Math. Sci. 87(5), 65–68 (2011)
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Jameson, M. Congruences for Broken k-Diamond Partitions. Ann. Comb. 17, 333–338 (2013). https://doi.org/10.1007/s00026-013-0181-x
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DOI: https://doi.org/10.1007/s00026-013-0181-x