Effective Estimates for a Class of Farey Fraction Sums and Bounds for Mundici-Type Constants

Anji Dong, Huy Xuan Nguyen, Vi Anh Nguyen +1

Let $D_2(Q)$ denote the sum of squared distances between consecutive Farey fractions in the full interval $(0,1]$. Daniele Mundici conjectured that $C(Q):=D_{2}(Q)\cdot Q^2/\log…