解释拉马努金致哈代最后一封信中的“未闭合”评论
数论
2016-01-05 v3
摘要
我们研究 -级数 ,并就拉马努金为何可能认为 不“闭合”提供一些评论。
引用
@article{arxiv.1512.07436,
title = {Explaining Ramanujan's "Unclosed" Comment in His Last Letter to Hardy},
author = {Daniel Parry},
journal= {arXiv preprint arXiv:1512.07436},
year = {2016}
}
备注
Typo Log V2: fixed typo of summation index n->j on page 12 V3: Fixed minus sign error on $m$ in Remark 1. V3: Orphan n->j change on Equation 3.7 fixed. V3: Deleted extra ) in equation (4.2). V3: Fixed mistake with the variable transformation $\sqrt[4]{5}\to 1/\sqrt{4]{5}$ throughout the manuscript V3: Added more context to the dot product computation