科研之友
微信
新浪微博
Facebook
分享链接
摘要
A certain dilogarithmic integral I (7) turns up in a number of contexts including Feynman diagram calculations, volumes of tetrahedra in hyperbolic geometry, knot theory, and conjectured relations in analytic number theory. We provide an alternative explicit evaluation of a parameterized family of integrals containing this particular case. By invoking the Bloch-Wigner form of the dilogarithm function, we produce an equivalent result, giving a third evaluation of I (7). We also alternatively formulate some conjectures which we pose in terms of values of the specific Clausen function Cl(2).
- 出版日期2010-6
