Number Theory

DOI10.1007/978-0-387-49894-2zbMath1119.11002OpenAlexW4214491404WikidataQ56457178 ScholiaQ56457178MaRDI QIDQ5898335

Publication date: 10 January 2007

Published in: Graduate Texts in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-0-387-49894-2

zbMATH Keywords

Mellin transform elliptic curves prime number theorem modular forms Bernoulli numbers linear forms in logarithms special values Jacobians modularity Gamma function Gross-Koblitz formula $p$-adic $L$-functions $L$-series Chabauty Dedekind's zeta function Euler-MacLaurin summation Catalan's equation Ribet's theorem super-Fermat equation

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01) Linear forms in logarithms; Baker's method (11J86) Algebraic number theory: local fields (11Sxx) Diophantine equations (11Dxx) Arithmetic algebraic geometry (Diophantine geometry) (11Gxx) Zeta and (L)-functions: analytic theory (11Mxx)

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