Series involving ????(2m+1) and ????(2m+1)

In this paper, three expressions from Euler for the sine or cosine function are used as a starting point for a search towards an expression for 𝜁(3) : the identity function, the product formula and the reflection formula. More specific : does there exist an expression for 𝜁(3) only in terms of constants, such as a rational, π, 𝛾, e, ln(2), perhaps even i , … without summations or integrals ? Starting from Euler’s Reflection formula, this paper explains how to obtain an equation for a sum involving only Zeta of odd natural numbers. Also an equation involving Eta of odd natural numbers is obtained by applying the logic of a proof for ZE1(1)-ZE1(2).