Develops Kloosterman refinement for F_q(t) and uses it to establish quantitative arithmetic for rational points on smooth complete intersections of two quadrics in P^{n-1} for n>=9 and q odd.
Number theory in function fields , volume 210 of Graduate Texts in Mathematics
2 Pith papers cite this work. Polarity classification is still indexing.
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The authors prove an annihilation result at u=1 for Artin-Ihara L-functions on abelian multigraph covers analogous to Brumer's conjecture and compute the index of an analogous Stickelberger ideal, plus observations on spanning trees.
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Rational points on complete intersections over $\mathbb{F}_q(t)$
Develops Kloosterman refinement for F_q(t) and uses it to establish quantitative arithmetic for rational points on smooth complete intersections of two quadrics in P^{n-1} for n>=9 and q odd.
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The special value $u=1$ of Artin-Ihara $L$-functions
The authors prove an annihilation result at u=1 for Artin-Ihara L-functions on abelian multigraph covers analogous to Brumer's conjecture and compute the index of an analogous Stickelberger ideal, plus observations on spanning trees.