ON THE DISTRIBUTION OF -FREE NUMBERS AND NON-VANISHING FOURIER COEFFICIENTS OF CUSP FORMS

DOI10.1017/S0017089512000043zbMath1300.11043OpenAlexW2334629494MaRDI QIDQ2882502

Kaisa Matomäki

Publication date: 6 May 2012

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089512000043

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Diophantine inequalities (11J25) Distribution of integers with specified multiplicative constraints (11N25)

Related Items (4)

Number of prime ideals in short intervals ⋮ On the gaps between nonzero Fourier coefficients of eigenforms with CM ⋮ Squarefrees are Gaussian in short intervals ⋮ On the gaps between non-zero Fourier coefficients of cusp forms of higher weight

Cites Work

• Unnamed Item
• Small gaps in coefficients of \(L\)-functions and \({\mathfrak B}\)-free numbers in short intervals
• Quelques applications du théorème de densité de Chebotarev
• Distribution of \({\mathcal B}\)-free numbers in short intervals
• Kloosterman sums and a mean value for Dirichlet polynomials
• \(B\)-free numbers in short arithmetic progressions
• Diophantine approximation with mild divisibility constraints
• The distribution of αp modulo one
• AVERAGE SIZE OF GAPS IN THE FOURIER EXPANSION OF MODULAR FORMS
• Nonvanishing of Fourier coefficients of modular forms
• On the Sizes of Gaps in the Fourier Expansion of Modular Forms
• The Chebotarev density theorem in short intervals and some questions of Serre

This page was built for publication: ON THE DISTRIBUTION OF -FREE NUMBERS AND NON-VANISHING FOURIER COEFFICIENTS OF CUSP FORMS