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Nonlinear exponential twists of the Liouville function

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Publication:539206
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DOI10.2478/S11533-010-0092-6zbMath1276.11138OpenAlexW1969139134MaRDI QIDQ539206

Qing Feng Sun

Publication date: 27 May 2011

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-010-0092-6


zbMATH Keywords

Liouville functionnonlinear exponential sumsVaughan's identity


Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Other Dirichlet series and zeta functions (11M41) Trigonometric and exponential sums (general theory) (11L03)


Related Items (2)

On the estimation of nonlinear twists of the Liouville function ⋮ Computing the Laplace eigenvalue and level of Maass cusp forms




Cites Work

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  • Oscillations of Hecke eigenvalues at shifted primes
  • Oscillations of cusp form coefficients in exponential sums
  • Averages of exponential twists of the Liouville function
  • Vinogradov's exponential sum over primes
  • ON CUSP FORM COEFFICIENTS IN NONLINEAR EXPONENTIAL SUMS
  • Low lying zeros of families of \(L\)-functions




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