Low-lying zeros of number field \(L\)-functions
From MaRDI portal
Publication:455799
DOI10.1016/j.jnt.2012.05.034zbMath1368.11116arXiv1003.5336OpenAlexW2004961068MaRDI QIDQ455799
Steven J. Miller, Ryan Peckner
Publication date: 22 October 2012
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.5336
Other Dirichlet series and zeta functions (11M41) Zeta functions and (L)-functions of number fields (11R42) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Relations with random matrices (11M50)
Related Items
LOWER-ORDER TERMS OF THE ONE-LEVEL DENSITY OF A FAMILY OF QUADRATIC HECKE -FUNCTIONS, Some Results in the Theory of Low-Lying Zeros of Families of L-Functions, Determining optimal test functions for 2-level densities, Orthogonal and symplectic đ-level densities, One-level density for holomorphic cusp forms of arbitrary level, An elliptic curve test of the \(L\)-functions ratios conjecture, A unitary test of the Ratios Conjecture, Maass Waveforms and Low-Lying Zeros, From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond, Hilbert spaces and low-lying zeros of \(L\)-functions
Cites Work
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- Low-lying zeros of \(L\)-functions with orthogonal symmetry
- Lower order terms for the one-level density of elliptic curve \(L\)-functions
- A bound for the least prime ideal in the Chebotarev density theorem
- Low-lying zeros of \(L\)-functions and random matrix theory
- Low-lying zeros of dihedral \(L\)-functions
- Counting integral ideals in a number field
- Petits zéros de fonctions L de formes modulaires
- Maass Waveforms and Low-Lying Zeros
- An orthogonal test of the L-functions Ratios Conjecture, II
- Statistics for low-lying zeros of symmetric power L-functions in the level aspect
- An orthogonal test of the L -functions Ratios conjecture
- The low lying zeros of a GL(4) and a GL(6) family of $L$-functions
- A Symplectic Test of the L-Functions Ratios Conjecture
- Lower order terms in the 1-level density for families of holomorphic cuspidal newforms
- The effect of convolving families of L -functions on the underlying group symmetries
- Zeroes of zeta functions and symmetry
- On CM-fields with the same maximal real subfield
- Inclusion of CM-fields and divisibility ofrelative class numbers
- On the Distribution of Spacings Between Zeros of the Zeta Function
- Linear Statistics of Low-Lying Zeros of L-Functions
- One- and two-level densities for rational families of elliptic curves: evidence for the underlying group symmetries
- Small zeros of quadratic L-functions
- Small generators of the ideal class group
- Low-lying zeros of families of elliptic curves
- Low lying zeros of families of \(L\)-functions
