On addition theorems related to elliptic integrals

Malkhaz Bakuradze , Vladimir Vershinin (1)

1 IMAG - Institut Montpelliérain Alexander Grothendieck

This paper provides some explicit formulas related to addition theorems for elliptic integrals $\int_0^x dt/R(t)$, where $R(t)$ is the square root from a polynomial of degree 4. These integrals are related to complex elliptic genera and are motivated by Euler's addition theorem for elliptic integrals of the first kind.

Domaines: Mathématiques [math]

Malkhaz Bakuradze, Vladimir Vershinin. On addition theorems related to elliptic integrals. 2019. ⟨hal-02088812⟩