Height of algebraic units under splitting conditions

DOI10.1007/s12044-023-00735-5MaRDI QIDQ6175460

Gorekh Prasad

Publication date: 24 July 2023

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

Mahler measureramificationprime factorizationLehmer's problemabsolute Weil height

Mathematics Subject Classification ID

Heights (11G50) Ramification and extension theory (11S15) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Cites Work

• Unnamed Item
• Factorization of certain cyclotomic functions
• A note on heights in certain infinite extensions of \(\mathbb Q\)
• Constructing totally p-adic numbers of small height
• Quantitative height bounds under splitting conditions
• Energy Integrals Over Local Fields and Global Height Bounds
• Auxiliary polynomials for some problems regarding Mahler's measure
• On fields with Property (B)

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