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Showing 2006 · math.NTShow all
3 papers · 2 filters
math.NT2006★ 1 cited
On the failure of the Gorenstein property for Hecke algebras of prime weight
L. J. P. Kilford, Gabor Wiese
In this article we report on extensive calculations concerning the Gorenstein defect for Hecke algebras of spaces of modular forms of prime weight p at maximal ideals of residue ch…
math.NT2006★ 2 cited
Symmetric powers of elliptic curve L-functions
Phil Martin, Mark Watkins
The conjectures of Deligne, Be\uılinson, and Bloch-Kato assert that there should be relations between the arithmetic of algebro-geometric objects and the special values of their $L…
math.NT2006
Density of integer solutions to diagonal quadratic forms
T. D. Browning
Let Q be a non-singular diagonal quadratic form in at least four variables. We provide upper bounds for the number of integer solutions to the equation Q=0, which lie in a box with…