Explicit non-trivial elements in K_4^{(3)} of Fermat curves are built uniformly in N, with regulators expressed via Zagier's trilogarithm and hypergeometric functions, plus numerical checks of Beilinson conjectures for N=3,4,6.
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Elements in $K_4$ and regulator maps of Fermat curves
Explicit non-trivial elements in K_4^{(3)} of Fermat curves are built uniformly in N, with regulators expressed via Zagier's trilogarithm and hypergeometric functions, plus numerical checks of Beilinson conjectures for N=3,4,6.