no code implementations • 31 Dec 2020 • Danylo Radchenko, Don Zagier
In this paper we study two functions $F(x)$ and $J(x)$, originally found by Herglotz in 1923 and later rediscovered and used by one of the authors in connection with the Kronecker limit formula for real quadratic fields.
Number Theory
no code implementations • 17 Dec 2020 • Steven Charlton, Herbert Gangl, Danylo Radchenko
We present new functional equations in weights 5, 6 and 7 and use them for explicit depth reduction of multiple polylogarithms.
Number Theory Primary 11G55, Secondary 33E20, 39B32
