On two 10th-order mock theta identities

被引：0
作者：
Jeremy Lovejoy
Robert Osburn
机构：
[1] Université Denis Diderot—Paris 7,CNRS, LIAFA
[2] University College Dublin,School of Mathematical Sciences
来源：
The Ramanujan Journal | 2015年 / 36卷
关键词：
Mock theta functions; -series identities; Appell–Lerch sums; 33D15; 05A30; 11F03; 11F37;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give short proofs of conjectural identities due to Gordon and McIntosh involving two 10th-order mock theta functions.
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收藏
页码：117 / 121
页数：4
相关论文
共 6 条
  • [1] Andrews G.E.(1989)Ramanujan “lost” notebook. VI. The mock theta conjectures Adv. Math. 73 242-255
  • [2] Garvan F.(2000)Tenth order mock theta functions in Ramanujan’s lost notebook II Adv. Math. 156 180-285
  • [3] Choi Y.-S.(2008)A short proof of the mock theta conjectures using Maass forms Proc. Am. Math. Soc. 136 4143-4149
  • [4] Folsom A.(1988)A proof of the mock theta conjectures Invent. Math. 94 639-660
  • [5] Hickerson D.(2012)The H and K family of mock theta functions Can. J. Math. 64 935-960
  • [6] McIntosh R.J.(undefined)undefined undefined undefined undefined-undefined
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