Explore the profound connection between Euler's Identity and the Taylor series, two foundational concepts in mathematics. This overview explains how the expansion of exponential functions using the ...

We describe all Euler like operators 𝐶, i.e. natural operators transforming tuples (λ, 𝑔) of Lagrangians λ: J s Y→ ∧ m T ∗ M on a fibred manifold 𝑌 → 𝑀 and functions 𝑔 : 𝑌 → 𝐑 into Euler maps C ...

We provide a number of results that can be used to derive approximations for the Euler product representation of the zeta function of an arbitrary algebraic function field. Three such approximations ...