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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.NT2005★ 1 cited
Simultaneous equal sums of three powers
T. D. Browning, D. R. Heath-Brown
Using a recent result of Salberger, we establish the paucity of non-trivial positive integer solutions to a certain system of diagonal Diophantine equations.
math.NT2005
The density of rational points on non-singular hypersurfaces, I
T. D. Browning, D. R. Heath-Brown
Let be a non-singular hypersurface of degree , and let . This paper is concerned with the conjecture that there are rational point…