Elliptic fibrations and $3 \cdot 2^k$

Carlo Pagano; Efthymios Sofos; Peter Koymans

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Elliptic fibrations and $3 \cdot 2^k$

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arxiv 2409.02080 v1 pith:46JHAIKU submitted 2024-09-03 math.NT

Peter Koymans , Carlo Pagano , Efthymios Sofos This is my paper · ORCID

classification math.NT

keywords cdotclassellipticfibrationsbroaddetermineexponentialfields

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abstract

We determine the order of magnitude for all exponential moments of the rank in a broad class of elliptic fibrations and for the $3 \cdot 2^k$-torsion in the class group of quadratic fields.

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