Dihedral quartic approximations and series for \(\pi\)

DOI10.1016/0022-314X(82)90075-0zbMath0492.12004MaRDI QIDQ1167761

Daniel Shanks

Publication date: 1982

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

imaginary quadratic fieldsclass groupsEpstein zeta functionsapproximation of \(\pi\)dihedral quartic approximationsquartic units

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Class numbers, class groups, discriminants (11R29) Evaluation of number-theoretic constants (11Y60)

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THETA BLOCK FOURIER EXPANSIONS, BORCHERDS PRODUCTS AND A SEQUENCE OF NEWMAN AND SHANKS, Birth, growth and computation of pi to ten trillion digits, An introduction to motivic Feynman integrals, Class number three Ramanujan type series for \(1/\pi\)

Cites Work

• Calculation and Applications of Epstein Zeta Functions
• Class Groups of Quadratic Fields
• Small Class Numbers and Extreme Values of L-Functions of Quadratic Fields
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