On the representation of numbers by the direct sums of some quaternary quadratic forms.
Kachakhidze, N. (2001)
Georgian Mathematical Journal
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Kachakhidze, N. (2001)
Georgian Mathematical Journal
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Vepkhvadze, T. (1997)
Georgian Mathematical Journal
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Henryk Iwaniec, Ritabrata Munshi (2010)
Journal de Théorie des Nombres de Bordeaux
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We give non-trivial upper bounds for the number of integral solutions, of given size, of a system of two quadratic form equations in five variables.
Khosroshvili, D. (1998)
Georgian Mathematical Journal
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Lomadze, G. (1998)
Georgian Mathematical Journal
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R. C. Baker, S. Schäffer (1992)
Acta Arithmetica
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Shavgulidze, K. (2002)
Georgian Mathematical Journal
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Lomadze, G. (2001)
Georgian Mathematical Journal
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Lomadze, G. (1995)
Georgian Mathematical Journal
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Lomadze, G. (1998)
Georgian Mathematical Journal
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Ben Kane (2009)
Journal de Théorie des Nombres de Bordeaux
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Assuming GRH, we present an algorithm which inputs a prime and outputs the set of fundamental discriminants such that the reduction map modulo a prime above from elliptic curves with CM by to supersingular elliptic curves in characteristic is surjective. In the algorithm we first determine an explicit constant so that implies that the map is necessarily surjective and then we compute explicitly the cases .