Schemes over 𝔽1and zeta functions

Abstract We determine the real counting function N ( q ) ( q ∈[1, ∞ )) for the hypothetical ‘curve’ $C=\overline {\mathrm {Spec}\,\Z }$ over 𝔽 1 , whose corresponding zeta function is the complete Riemann zeta function. We show that such a counting function exists as a distribution, is positive on ... View More