On a series of Ramanujan, dilogarithm values, and solitons

一类Ramanujan级数、双项二重对数恒等式及若干Lucas级数

A series of Ramanujan, two-term dilogarithm identities and some Lucas series

本文研究一类与Ramanujan遗失笔记中级数相关的初等级数，利用反双曲反正切、多对数及Clausen函数给出闭式，并证明新的双项二重对数恒等式，求出若干Lucas数级数的闭式。

Ramanujan's identities, minimal surfaces and solitons

Using Ramanujan's identities and the Weierstrass-Enneper representation of minimal surfaces and the analogue for Born-Infeld solitons, we derive further non-trivial identities.

关于Kanade猜想的Nahm和相关问题

On a conjecture due to Kanade related to Nahm sums

本文证明了Kanade关于对数函数的猜想，并扩展了两个新的对数恒等式和相关秩-2矩阵。

Born-Infeld solitons, Maximal surfaces and Ramanujan's identities

We show that a Born-Infeld soliton can be realised either as a spacelike minimal graph or timelike minimal graph over a timelike plane or a combination of both away from singular points. We also obtain some exact solutions of the Born-Infeld equation from already known solutions to the maximal surface equation. Further we present a method to construct a one-parameter family of complex solitons from a given one parameter family of maximal surfaces. Finally, using Ramanujan's Identities and the Weierstrass-Enneper representation of maximal surfaces, we derive further non-trivial identities.