He was also known for discovering types of Jacobian functions that are related to functional equations.
12.
These relations may be derived by employing the functional equation together with Hurwitz's formula, given above.
13.
M . Rassias on the study of stability problems of functional equations, the stability phenomenon proved by Th.
14.
In the late 1980s, he collaborated with Paganoni in discovering a rule of rational addition in functional equation.
15.
The rationality was proved by, the functional equation by, and the analogue of the Riemann hypothesis was proved by
16.
Note that this latter form is the functional equation for the Riemann zeta function, as originally given by Riemann.
17.
The Dedekind zeta-function satisfies a functional equation and can be extended by analytic continuation to the whole complex plane.
18.
He proved the functional equation for the zeta function ( already known to Euler ), behind which a theta function lies.
19.
That is, writingas is conventional? for the real part of " s ", the functional equation relates the cases
20.
He worked both on ordinary differential equations and on partial differential equations studying Abelian integrals, automorphic functions, and functional equations.
