Transcendental Number Theory

DOI10.1017/9781009229937zbMath1496.11001OpenAlexW4280582130MaRDI QIDQ5068399

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Publication date: 6 April 2022

Full work available at URL: https://doi.org/10.1017/9781009229937

zbMATH Keywords

textbookclass number\(L\)-functionsimaginary quadratic fieldsexponential polynomialsThue equationhyperelliptic equationtranscendental number theoryMahler's classificationcurves of genus oneSiegel-Shidlovskij theorem

Mathematics Subject Classification ID

Quadratic extensions (11R11) Algebraic independence; Gel'fond's method (11J85) Transcendence theory of other special functions (11J91) Class numbers, class groups, discriminants (11R29) Collected or selected works; reprintings or translations of classics (01A75) Higher degree equations; Fermat's equation (11D41) Transcendence (general theory) (11J81) Metric theory (11J83) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01) Linear forms in logarithms; Baker's method (11J86) Transcendence theory of elliptic and abelian functions (11J89) Diophantine approximation in probabilistic number theory (11K60) Approximation to algebraic numbers (11J68)

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