A Proof of some identities of Ramanujan using modular forms
A Proof of some identities of Ramanujan using modular forms
复制标题
使用模块化形式证明拉马努金的某些身份
DOI：
10.1017/s0017089500007850
复制
发表时间：
1989
影响因子：
0.5
通讯作者：
Anthony J. F. Biagioli
中科院分区：
文献类型：
--
作者：
Anthony J. F. Biagioli
1974年B。伯奇[1]发表了一份描述的一些手稿拉马努金其中载有，除其他事项外，一个列表的40个身份涉及罗杰斯拉马努金职能在当时9这些已被证明，并从那时起二十二个已被证明，其中15个由大卫Bressoud在他的论文[2]。Bressoud给出了一个现存的证据的概要，在那里他的属性证明H。B。C. Darling [3]，L. J. Rogers [4]，L. J. Mordell [5]和G. N.沃森[6]。
In 1974 B. J. Birch [1] published a description of some manuscripts of Ramanujan which contained, among other things, a list of forty identities involving the Rogers-Ramanujan functions At that time nine of these had been proven, and since then twenty-two more of them have been proven, fifteen of them by David Bressoud in his thesis [2]. Bressoud gives a synopsis of the extant proofs, where he attributes proofs to H. B. C. Darling [3], L. J. Rogers [4], L. J. Mordell [5], and G. N. Watson [6].