Ying Ye

Spectral Paradigm of Analytic Number Theory

This revised long article develops the spectral paradigm as a method in analytic number theory. It is based on the earlier consolidated manuscript Spectral Paradigm for Analytic Number Theory and on the review report supplied for that manuscript. The revision deliberately changes...

Spectral Paradigm of Analytic Number Theory

This revised long article develops the spectral paradigm as a method in analytic number theory. It is based on the earlier consolidated manuscript Spectral Paradigm for Analytic Number Theory and on the review report supplied for that manuscript. The revision deliberately changes...

A selection-aware evidence horizon for early cosmic chemical enrichment

Record-redshift metal detections are compelling but statistically unstable markers of early chemical enrichment. We define a chemical-evidence horizon as the selection-conditioned probability of recording an unambiguous metal line. In JADES DR4, 524 robust z ≥ 5 galaxies give z50...