Higher rank case of Dwork’s conjecture

DOI10.1090/S0894-0347-00-00339-8zbMath1086.11030arXivmath/0005309OpenAlexW2103183041WikidataQ123007414 ScholiaQ123007414MaRDI QIDQ4501057

Daqing Wan

Publication date: 3 September 2000

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0005309

zbMATH Keywords

\(L\)-functionszeta functions\(p\)-adic analysisalgebraic varieties over finite fieldsDwork's conjecture

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Complex multiplication and moduli of abelian varieties (11G15) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Varieties over finite and local fields (11G25) Zeta functions and (L)-functions (11S40)

Related Items

Canonical subgroups and p-adic vanishing cycles for abelian varieties, $L$-functions of twisted diagonal exponential sums over finite fields, On \(L\)-functions of certain exponential sums, \(L\)-functions of exponential sums and Hasse polynomials, \(p\)-adic estimates of exponential sums on curves, Zeta functions of totally ramified \(p\)-covers of the projective line, \(p\)-adic GKZ hypergeometric complex, \(L\)-functions associated with families of toric exponential sums, Trivial factors for \(L\)-functions of symmetric products of Kloosterman sheaves, Minimal slope conjecture of \(F\)-isocrystals, Regular decomposition of ordinarity in generic exponential sums, Rationality of partial zeta functions, Newton polygons of \(L\)-functions associated to Deligne polynomials, Kloosterman sums and Hecke polynomials in characteristics 2 and 3, L-functions ofp-adic characters, Hasse polynomials of \(L\)-functions of certain exponential sums, \(p\)-adic variation of unit root \(L\)-functions, Partial zeta functions of algebraic varieties over finite fields, Class numbers and \(p\)-ranks in $\mathbb{Z}_p^d$-towers, L-FUNCTIONS OF SYMMETRIC POWERS OF THE GENERALIZED AIRY FAMILY OF EXPONENTIAL SUMS, Rationality and meromorphy of zeta functions, Rank one case of Dwork’s conjecture, Newton polygons for \(L\)-functions of exponential sums of polynomials of degree six over finite fields., p-Adic estimates of abelian Artin L-functions on curves

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