On the Sizes of Gaps in the Fourier Expansion of Modular Forms

DOI10.4153/CJM-2005-019-7zbMath1082.11022MaRDI QIDQ5461933

Emre Alkan

Publication date: 27 July 2005

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

zbMATH Keywords

elliptic curvesFourier coefficientsupersingular prime

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)

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ON THE DISTRIBUTION OF -FREE NUMBERS AND NON-VANISHING FOURIER COEFFICIENTS OF CUSP FORMS ⋮ Number of prime ideals in short intervals ⋮ 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 ⋮ On the gaps in the Fourier expansion of cusp forms ⋮ Statistics and characterization of matrices by determinant and trace ⋮ On Dirichlet \(L\)-functions with periodic coefficients and Eisenstein series ⋮ Diophantine approximation with mild divisibility constraints ⋮ A note on small gaps between nonzero Fourier coefficients of cusp forms ⋮ Convergent sieve sequences in arithmetic progressions

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