The spin of prime ideals

DOI10.1007/s00222-012-0438-8zbMath1296.11150arXiv1110.6331OpenAlexW2168915054WikidataQ101542327 ScholiaQ101542327MaRDI QIDQ376215

Karl Rubin, Barry Mazur, John B. Friedlander, Henryk Iwaniec

Publication date: 4 November 2013

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.6331

zbMATH Keywords

\(L\)-functionbilinear formsdistribution of primesDirichlet charactersSelmer rank of elliptic curvesspin of idealstotally real number field

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Distribution of prime ideals (11R44)

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On the 16-rank of class groups of $\mathbb{Q}(\sqrt{-3p})$ for primes $p$ congruent to 1 modulo 4, Corrigendum to: ``On the asymptotics of a prime spin relation, On the 16-rank of class groups of \({\mathbb{Q}(\sqrt{-8p})}\) for \({p \equiv -1 \bmod 4}\), Families of L-Functions and Their Symmetry, Density of Selmer ranks in families of even Galois representations, Wiles' formula, and global reciprocity, The work of Barry Mazur, Burgess bounds for short character sums evaluated at forms, On the asymptotics of a prime spin relation, Joint distribution of spins, On superorthogonality, The 16-rank of \(\mathbb{Q}(\sqrt{-p})\), Spins of prime ideals and the negative Pell equation, A density of ramified primes, A Markov model for Selmer ranks in families of twists, A cubic analogue of the Friedlander-Iwaniec spin over primes

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