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The document presents estimates for the Fourier coefficients of Siegel cusp forms of arbitrary genus g. It generalizes previous results that were obtained for genus g=2. The paper proves two main theorems. Theorem 1 provides an estimate for Fourier coefficients a(T) that involves the minimum Tg-1(T) and (det T). Theorem 2 gives a sharper estimate under additional conditions on T, involving Tg-1(T) and (det T) to different powers. The proofs follow the same pattern as for g=2, using Fourier-Jacobi expans

Author

Tamilselvi

Language

EN