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Proof of a conjectural congruence of Chan for Appell–Lerch sums
International Journal of Number Theory ( IF 0.5 ) Pub Date : 2020-09-30 , DOI: 10.1142/s1793042121500202
Yan Fan 1 , Liuquan Wang 2 , Ernest X. W. Xia 1
Affiliation  

In 2012, Chan posed six conjectures on congruences for Appell–Lerch sums and five of them were proved by mathematicians. In this paper, we confirm the remaining conjectural congruence of Chan by utilizing an identity due to Hickerson and Mortenson and the theory of modular forms.

中文翻译:

证明 Chan 对 Appell-Lerch 和的猜想全等

2012 年,Chan 对 Appell-Lerch 和的同余性提出了六个猜想,其中五个被数学家证明。在本文中,我们利用 Hickerson 和 Mortenson 的恒等式以及模形式理论来确认 Chan 的剩余猜想全等。
更新日期:2020-09-30
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