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Convolution powers of complex functions on Z。
Level lowering modulo prime powers and twisted Fermat equations
Modular forms level lowering Diophantine equations
2010/11/26
We discuss a clean level lowering theorem modulo prime powers for weight 2 cusp forms. Furthermore, we illustrate how this can be used to completely solve certain twisted Fermat equations axn + byn + ...
A Vanishing Theorem and Asymptotic Regularity of Powers of Ideal Sheaves
Regularity powers of ideals vanishing theorem.
2010/11/29
Let I be an ideal sheaf on Pn. In the first part of this paper, we bound the asymptotic regularity of powers of I as ps − 3 regIp ps + e,where e is a constant and s is the s-invariant of I. ...