Numerical Evidence Toward a 2-adic Equivariant “Main Conjecture”

DOI10.1080/10586458.2011.564541zbMath1312.11087arXiv0904.3819OpenAlexW2019154462WikidataQ123113161 ScholiaQ123113161MaRDI QIDQ4915381

Xavier-François Roblot, Alfred Weiss

Publication date: 10 April 2013

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.3819

zbMATH Keywords

11R2311R70

Mathematics Subject Classification ID

Iwasawa theory (11R23) Software, source code, etc. for problems pertaining to number theory (11-04) (K)-theory of global fields (11R70)

Related Items (2)

On the “main conjecture” of equivariant Iwasawa theory ⋮ Computing $p$-adic $L$-functions of totally real number fields

Cites Work

• Residue at \(s=1\) of \(p\)-adic zeta functions
• Values of abelian \(L\)-functions at negative integers over totally real fields
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• Values at negative integers of zeta functions and \(p\)-adic zeta functions
• Toward equivariant Iwasawa theory. II.
• Toward equivariant Iwasawa theory. III
• The Iwasawa conjecture for totally real fields

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