It follows from the functional equation of the Riemann zeta-function that the Z-function is real for real values of " t ".
42.
Just to be sure, I understand the relation is just the functional equation for the eta function and I have already gone through the proof of that.
43.
*PM : functional equation for the Riemann theta function, id = 3942-- WP guess : functional equation for the Riemann theta function-- Status:
44.
*PM : functional equation for the Riemann theta function, id = 3942-- WP guess : functional equation for the Riemann theta function-- Status:
45.
*PM : functional equation of the Riemann zeta function, id = 4661-- WP guess : functional equation of the Riemann zeta function-- Status:
46.
*PM : functional equation of the Riemann zeta function, id = 4661-- WP guess : functional equation of the Riemann zeta function-- Status:
47.
Also the case of ? and ? * being equivalent representations is exactly the one in which the functional equation has the same L-function on each side.
48.
They opened up the fields of functional equations ( including the difference equations fundamental to the difference engine ) and operator ( D-module ) methods for differential equations.
49.
For a function assumed to be known, the task is to solve the functional equation for the function, possibly satisfying additional requirements, such as 1 } }.
50.
Caristi fixed-point theorem can be applied to derive another classical fixed-point theorems results and also to prove the existence of bounded solutions of a functional equation.
