Higher reciprocity law, modular forms of weight 1 and elliptic curves

DOI10.1017/S0027763000021401zbMath0569.12007OpenAlexW1563178488MaRDI QIDQ3686793

Masao Koike

Publication date: 1985

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000021401

zbMATH Keywords

elliptic curves2-torsionhigher reciprocity lawmodular functions of weight one

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Galois representations (11F80) Langlands-Weil conjectures, nonabelian class field theory (11R39) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (10)

Distribution of values of Fourier coefficients for modular forms of weight 1 ⋮ Extreme values of automorphic \(L\)-functions ⋮ Fractional moments of automorphic $L$-functions ⋮ Dedekind \(\eta\)-function in modern research ⋮ The Dedekind eta-function in algebra and number theory: old and new problems ⋮ On the Dedekind zeta function ⋮ On the mean square of the error term for Dedekind zeta functions ⋮ Fourier coefficients of cusp forms and automorphic \(L\)-functions ⋮ One special class of modular forms and group representations ⋮ Local fields generated by 3-division points of elliptic curves.

Cites Work

• On indefinite modular forms of weight one
• The higher reciprocity laws: An example
• The modular equation and modular forms of weight one

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