»ã±¨±êÌ⣨ÖÐÓ¢ÎÄ£© (Title)£º´ÓRamanujanµÄÈý¸öºãµÈʽÆô³Ì¹¹½¨ÐµĵÈʽ£¨Construct new identities from Ramanujan¡¯s three identities£©

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»ã±¨¹¦·ò£¨Time£©£º2023Äê10ÔÂ14ÈÕ 16:00

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»ã±¨ÌáÒª£ºInspired by a work of G. Andrews et al., we prove a new mock theta function identity related to the partition rank modulo 3 and 9. We also obtain the 3-dissection of the rank generating function modulo 9. Basing on three identities of Ramanujan, we get new identities and provide new possible way to prove these three identities.

Part of this talk is based on a work joint with Song Heng Chan, Jerry, Jeremy Lovejoy.