Soren Kleine

activity

20232026

collaborators

4 papers

math.NT2026

On the $M_{H} (G)$ -property for Selmer groups at supersingular reduction

Sören Kleine, Ahmed Matar, Sujatha Ramdorai

Let $E$ be an elliptic curve defined over $Q$ which has good supersingular reduction at the odd prime $p$ . We study the variation of Iwasawa invariants and the $\mathfrak{…

math.NT2025

Strong $n$ -conjectures over rings of integers

Rupert Hölzl, Sören 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.NT2024

Improved lower bounds for strong $n$ -conjectures

Rupert Hölzl, Sören 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…

cs.CR2023

RSA+: An RSA variant

Soeren Kleine, Andreas Nickel, Torben Ritter +1

We introduce a new probabilistic public-key cryptosystem which combines the main ingredients of the well-known RSA and Rabin cryptosystems. We investigate the security and performa…

On the MH​(G)-property for Selmer groups at supersingular reduction

Strong n-conjectures over rings of integers

Improved lower bounds for strong n-conjectures

RSA+: An RSA variant

On the $M_{H} (G)$ -property for Selmer groups at supersingular reduction

Strong $n$ -conjectures over rings of integers

Improved lower bounds for strong $n$ -conjectures