Hall-Montgomery Constant

Author

Eric W. Weisstein
August 5, 2008

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Constants/Hall-MontgomeryConstant.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/Hall-MontgomeryConstant.html.

©2008 Wolfram Research, Inc. except for portions noted otherwise

Value

TraditionalForm[expr1=FullSimplify[1-((π^2)/6)-Log[1+(Sqrt[E])]Log[(E/(1+(Sqrt[E])))]+2 PolyLog[2,(1/(1+(Sqrt[E])))]]]

FunctionExpand[expr1]

TraditionalForm[expr2=FullSimplify[1+Pi^2/6+2PolyLog[2,-Sqrt[E]]]]

FullSimplify[expr1-expr2]

N[%,100]

PossibleZeroQ[expr1-expr2]