- Working Paper
While the twin prime conjecture is still famously open, it holds true in the setting of finite fields: There are infinitely many pairs of monic irreducible polynomials over Fq that differ by a fixed constant, for each q≥3. Elementary, constructive proofs were given for different cases by Hall and Pollack. In the same spirit, we discuss the construction of a further infinite family of twin prime tuples of odd degree, and its relations to the existence of certain Wieferich primes and to arithmetic properties of the combinatorial Bell numbers. Show more
Journal / seriesarXiv
Pages / Article No.
Organisational unit08802 - Iozzi, Alessandra (Tit.-Prof.)
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