NONVANISHING OF THE RAMANUJAN TAU FUNCTION IN SHORT INTERVALS

DOI10.1142/S1793042105000029zbMath1075.11035OpenAlexW2102015991MaRDI QIDQ5316933

Alexandru Zaharescu, Emre Alkan

Publication date: 15 September 2005

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042105000029

zbMATH Keywords

lattice pointsDelta functionRamanujan tau function

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Geometry of numbers (11H99)

Related Items (8)

Gaps between nonzero Fourier coefficients of cusp forms ⋮ On the distribution of coefficients of half-integral weight modular forms and the Bruinier–Kohnen conjecture ⋮ AVERAGE SIZE OF GAPS IN THE FOURIER EXPANSION OF MODULAR FORMS ⋮ On the gaps between nonzero Fourier coefficients of eigenforms with CM ⋮ On the gaps between non-zero Fourier coefficients of cusp forms of higher weight ⋮ On sums over the Möbius function and discrepancy of fractions ⋮ The first simultaneous sign change and non-vanishing of Hecke eigenvalues of newforms ⋮ On Dirichlet \(L\)-functions with periodic coefficients and Eisenstein series

Cites Work

• On the divisor and circle problems
• La conjecture de Weil. I
• Exponential Sums and Lattice Points III
• Nonvanishing of Fourier coefficients of modular forms
• The Chebotarev density theorem in short intervals and some questions of Serre
• Unnamed Item
• Unnamed Item

This page was built for publication: NONVANISHING OF THE RAMANUJAN TAU FUNCTION IN SHORT INTERVALS