Problems On Dirichlet Integrals

Problems on Dirichlet Integrals:


Example1. First we note that with λ = 1 we recover the arc tangent formula



Example 2. For the Riemann zeta function


By contrast it is known as critical line.

More broadly,Crandall has shown that when 0 < σ < 1.




Example3. These are the similar formulas for For instance applying for the result in the above with the sending functions


On using Euler result we get the above results.