Low lying zeros of Artin \(L\)-functions

DOI10.1007/s00209-014-1387-2zbMath1320.11045OpenAlexW132538619MaRDI QIDQ2339664

Henry H. Kim, Peter Jaehyun Cho

Publication date: 2 April 2015

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-014-1387-2

zbMATH Keywords

automorphic representationRankin convolutionRamanujan conjectureArtin conjectureMalle's conjecturecubic and quartic fields

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Other Dirichlet series and zeta functions (11M41) Random matrices (algebraic aspects) (15B52) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Zeta functions and (L)-functions of number fields (11R42) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Applications of automorphic functions and forms to multiplicative problems (11N75)

Related Items (9)

LOWER-ORDER TERMS OF THE ONE-LEVEL DENSITY OF A FAMILY OF QUADRATIC HECKE -FUNCTIONS ⋮ Omega results for cubic field counts via lower-order terms in the one-level density ⋮ Central limit theorem for Artin L-functions ⋮ AN EQUIDISTRIBUTION THEOREM FOR HOLOMORPHIC SIEGEL MODULAR FORMS FOR AND ITS APPLICATIONS ⋮ SATO–TATE EQUIDISTRIBUTION OF CERTAIN FAMILIES OF ARTIN -FUNCTIONS ⋮ The shape of cubic fields ⋮ Hilbert spaces and low-lying zeros of \(L\)-functions ⋮ The number of ramified primes in number fields of small degree ⋮ Analytic ranks of elliptic curves over number fields

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