Frank Stephan

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20242026

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math.NT2025

Strong $n$ -conjectures over rings of integers

Rupert HÃ¶lzl, SÃ¶ren Kleine, Frank Stephan

We study diophantine equations of the form $a_{1} + \dots + a_{n} = 0$ where the $a_{i}$ 's are assumed to be coprime and to satisfy certain subsum conditions. We are interested in the…

math.NT2025

Improved lower bounds for strong $n$ -conjectures

Rupert HÃ¶lzl, SÃ¶ren Kleine, Frank Stephan

The well-known $ab c$ -conjecture concerns triples $(a, b, c)$ of non-zero integers that are coprime and satisfy $a + b + c = 0$ . The strong $n$ -conjecture is a generalisation to $n$ summa…

Strong n-conjectures over rings of integers

Improved lower bounds for strong n-conjectures

Strong $n$ -conjectures over rings of integers

Improved lower bounds for strong $n$ -conjectures