Class invariants by Shimura's reciprocity law
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Publication:1809039
DOI10.5802/jtnb.238zbMath0957.11048OpenAlexW2147311270MaRDI QIDQ1809039
Publication date: 1 April 2001
Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=JTNB_1999__11_1_45_0
Related Items (34)
Singular values of the Rogers-Ramanujan continued fraction ⋮ On some arithmetic properties of Siegel functions (II) ⋮ A level 16 analogue of Ramanujan series for \(1/\pi\) ⋮ On some automorphic properties of Galois traces of class invariants from generalized Weber functions of level 5 ⋮ Singular moduli of \(r\)th roots of modular functions ⋮ On Ramanujan's cubic continued fraction as a modular function ⋮ Some non-congruence subgroups and the associated modular curves ⋮ Modularity of Galois traces of class invariants ⋮ Singular values of some modular functions ⋮ Affine models of the modular curves \(X(p)\) and its application ⋮ Modularity of a certain continued fraction of Ramanujan ⋮ Normal bases of ray class fields over imaginary quadratic fields ⋮ Special values of generalized \(\lambda\) functions at imaginary quadratic points ⋮ On a conjecture of Yui and Zagier ⋮ Ray class invariants over imaginary quadratic fields ⋮ On two families of modular subgroups ⋮ Constructing class invariants ⋮ Difference of modular functions and their CM value factorization ⋮ Primes of the form \(x^2+ny^2\) with conditions \(x\equiv 1 \bmod N\), \(y\equiv 0\bmod N\) ⋮ Ray class fields generated by torsion points of certain elliptic curves ⋮ Choosing the correct elliptic curve in the CM method ⋮ The complexity of class polynomial computation via floating point approximations ⋮ Ramanujan's class invariants and their use in elliptic curve cryptography ⋮ Wronskians of theta functions and series for \(1/\pi\) ⋮ Modularity of a Ramanujan-Selberg continued fraction ⋮ REPRESENTATIONS OF INTEGERS BY THE BINARY QUADRATIC FORM ⋮ Generalized lambda functions and modular function fields of principal congruence subgroups ⋮ A survey of computational class field theory ⋮ Ramanujan's function \(k\), revisited ⋮ Modularity of Galois traces of Weber's resolvents ⋮ Implementing the asymptotically fast version of the elliptic curve primality proving algorithm ⋮ Generalized class polynomials ⋮ Primitive generators of certain class fields ⋮ Generalised Weber functions
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