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Commutative algebraic groups and p-adic linear forms

100%

Fuchs C., Pham D.

Acta Arithmetica

2015

tom 169

nr 2

115-147

Let G be a commutative algebraic group defined over a number field K that is disjoint over K from $𝔾_{a}$ and satisfies the condition of semistability. Consider a linear form l on the Lie algebra of G with algebraic coefficients and an algebraic point u in a p-adic neighbourhood of the origin with the condition that l does not vanish at u. We give a lower bound for the p-adic absolute value of l(u) which depends up to an effectively computable constant only on the height of the linear form, the height of the point u and p.

Perfect powers in linear recurring sequences

100%

Fuchs C., Tichy R.

Acta Arithmetica

2003

tom 107

nr 1

9-25

An effective Shafarevich theorem for elliptic curves

81%

Fuchs C., von Känel R., Wüstholz G.

Acta Arithmetica

2011

tom 148

nr 2

189-203

Effective solution of the D(-1)-quadruple conjecture

81%

Dujella A., Filipin A., Fuchs C.

Acta Arithmetica

2007

tom 128

nr 4

319-338

Ograniczanie wyników

4 Acta Arithmetica

4 Fuchs C.

1 Dujella A.

1 Filipin A.

1 Pham D.

1 Tichy R.

1 Wüstholz G.

1 von Känel R.

1 2015

1 2011

1 2007

1 2003

Wyniki wyszukiwania

Commutative algebraic groups and p-adic linear forms

Perfect powers in linear recurring sequences

An effective Shafarevich theorem for elliptic curves

Effective solution of the D(-1)-quadruple conjecture