Invitation to higher local fields, Part II, section 5: Harmonic analysis on algebraic groups over two-dimensional local fields of equal characteristic

The stabilizer bitorsors of the module and algebra harmonic coproducts are equal

In earlier work, we constructed a pair of "Betti" and "de Rham" Hopf algebras and a pair of module-coalgebras over this pair, as well as the bitorsors related to both structures (which will be called the "module" and "algebra" stabilizer bitorsors). We showed that Racinet's torsor constructed out of the double shuffle and regularization relations between multiple zeta values is essentially equal to the "module" stabilizer bitorsor, and that the latter is contained in the "algebra" stabilizer bitorsor. In this paper, we show the equality of the "algebra" and "module" stabilizer bitorsors. We re…

超调和级数的部分和

Partial sums of the hyperharmonic series

本文推广了Erdös和Niven关于调和级数部分和唯一性的结果，证明超调和级数的任意两个部分和也不相等。