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math.NT2006★ 10 cited
Differential eigenforms
Alexandru Buium
The aim of this paper is to show how differential characters of Abelian varieties can be used to construct differential modular forms of weight 0 and order 2 which are eigenvectors…
math.AP2006★ 2 cited
Arithmetic partial differential equations
Alexandru Buium, Santiago R. Simanca
We develop an arithmetic analogue of linear partial differential equations in two independent ``space-time'' variables. The spatial derivative is a Fermat quotient operator, while…