On the estimation of nonlinear twists of the Liouville function

zbMath1300.11084MaRDI QIDQ384325

Ayyadurai Sankaranarayanan

Publication date: 27 November 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1385129964

zbMATH Keywords

\(L\)-functionsequidistributionquasi-Riemann hypothesisexponential twists of arithmetic functionszero-distribution

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) (zeta (s)) and (L(s, chi)) (11M06)

Cites Work

• Nonlinear exponential twists of the Liouville function
• Oscillations of Hecke eigenvalues at shifted primes
• Some remarks on a theorem of Montgomery and Vaughan
• Topics in multiplicative number theory
• Averages of exponential twists of the Liouville function
• Hilbert's Inequality
• Low lying zeros of families of \(L\)-functions
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