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2 papers match

math.NT2026

Motivic correlators, cluster varieties and Zagier's conjecture on zeta(F,4)

Alexander B. Goncharov, Daniil Rudenko

The authors prove Zagier's conjecture on the value at s=4 of the Dedekind zeta‑function of a number field using motivic correlators, cluster varieties, and connections between alge…

#zeta functions#motivic cohomology#algebraic k-theory#polylogarithms

math.NT2026

Point counts of abelian varieties over finite fields determining their zeta function

Shiva Chidambaram, Timo Keller

The paper proves that for an abelian variety of dimension g over a sufficiently large finite field, the point counts over the first g extensions uniquely determine its zeta functio…

#abelian varieties#finite fields#zeta functions#point counts