The row sums give `H_n/n²`
ProvedBlockCycleRotation.qTerm_rowanalytic-number-theoryblock-cycle-rotationzeta-values
The row sums give H_n/n².
This is an auxiliary lemma of the formalization rather than a result stated in the paper.
Preamble
import Definitions.Def_BlockCycleRotation_Remark21 import Mathlib open BlockCycleRotation open Real Finset Filter Topology
Formal statement
theorem BlockCycleRotation.qTerm_row (i : ℕ) : ∑' j : ℕ, qTerm (i, j) = harm (i + 2) / ((i : ℝ) + 1) ^ 2 := by sorry
Source
Valentin Blomer and Kai-Uwe Bux, "The cost of cyclic permutations and remainder sums in the Euclidean algorithm", AofA 2026, LIPIcs vol. 381, pp. 14:1-14:17, doi:10.4230/LIPIcs.AofA.2026.14. Numbering follows the full version, arXiv:2601.00979v1. Lean source: https://github.com/dbenbenn/block-cycle-rotation/blob/f69003fd8b00c9b5d6d1a4f6807b4943bce0a92c/BlockCycleRotation/Remark21.lean#L570-L585