Real zeros of quadratic Dirichlet \(L\)-functions

DOI10.1007/s00222-002-0227-xzbMath1042.11053arXivmath/0111013OpenAlexW2066135483MaRDI QIDQ1401441

John Brian Conrey, Kannan Soundararajan

Publication date: 17 August 2003

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111013

zbMATH Keywords

real zerosquadratic \(L\)-functions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20)

Related Items (20)

A SHORT NOTE ON FOURIER COEFFICIENTS OF HALF-INTEGRAL WEIGHT MODULAR FORMS ⋮ On the Ono invariants of imaginary quadratic number fields ⋮ Applications of theL-functions ratios conjectures ⋮ Optimality for the two-parameter quadratic sieve ⋮ On zeros of bilateral Hurwitz and periodic zeta and zeta star functions ⋮ On the oscillatory behavior of certain arithmetic functions associated with automorphic forms ⋮ Sums of two squares are strongly biased towards quadratic residues ⋮ Unnamed Item ⋮ Families of \(L\)-functions of automorphic forms and applications ⋮ Non-vanishing of Dirichlet L-functions at the Central Point ⋮ Extreme values of zeta and \(L\)-functions ⋮ Real zeros of Dedekind zeta functions of real quadratic fields ⋮ Real zeros and size of Rankin-Selberg \(L\)-functions in the level aspect ⋮ Real zeros of real odd Dirichlet $L$-functions ⋮ Symmetry transitions in random matrix theory \& \(L\)-functions ⋮ Functional distribution of 𝐿(𝑠,𝜒_{𝑑}) with real characters and denseness of quadratic class numbers ⋮ Super-positivity of a family of L-functions ⋮ SATO–TATE EQUIDISTRIBUTION OF CERTAIN FAMILIES OF ARTIN -FUNCTIONS ⋮ Super-positivity of a family of \(L\)-functions in the level aspect ⋮ The Second Moment Theory of Families of 𝐿-Functions–The Case of Twisted Hecke 𝐿-Functions

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