Andreas-Stephan Elsenhans

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20102023

most citedThe discriminant of a cubic surface

5 citations · 8 across the 7 of their papers we have counts for

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math.NT2010

The Diophantine Equation $x^{4} + 2 y^{4} = z^{4} + 4 w^{4}$ ---a number of improvements

Andreas-Stephan Elsenhans, Jörg Jahnel

The quadruple $(1484801, 1203120, 1169407, 1157520)$ already known is essentially the only non-trivial solution of the Diophantine equation $x^4 + 2 y^4 = z^4 + 4 w…

math.NT2010

The Fibonacci sequence modulo $p^{2}$ -- An investigation by computer for $p < 1 0^{14}$

Andreas-Stephan Elsenhans, Jörg Jahnel

We show that for primes $p < 1 0^{14}$ the period length $κ (p^{2})$ of the Fibonacci sequence modulo $p^{2}$ is never equal to its period length modulo $p$ . The investigation involves a…

math.NT2010★ 5 cited

The discriminant of a cubic surface

Andreas-Stephan Elsenhans, Jörg Jahnel

We construct explicit examples of cubic surfaces over $Q$ such that the 27 lines are acted upon by the index two subgroup of the maximal possible Galois group. This is the simpl…

The Diophantine Equation x4+2y4=z4+4w4---a number of improvements

The Fibonacci sequence modulo p2 -- An investigation by computer for p<1014

The discriminant of a cubic surface

The Diophantine Equation $x^{4} + 2 y^{4} = z^{4} + 4 w^{4}$ ---a number of improvements

The Fibonacci sequence modulo $p^{2}$ -- An investigation by computer for $p < 1 0^{14}$