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The general class number relations contained in Jacobi’s theta formula

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References

  1. 1)

    E. T. Bell,Complete class number expansions for certain elliptic theta constants of the third degree [Bulletin of the American Mathematical Society, vol. XXX (1924), pp. 493–496].

  2. 2)

    Ch. Hermite,Sur quelques consequences arithmétiques des formules de la théorie des fonctions elliptiques [Acta Mathematica, t. V (1884), pp. 297–330], p. 302;Lettre de M.Hermite á M.Liouville [Comptes rendus hebdomadaires des séances de l’Académie des Sciences, t. 53 (2e semestre 1861), pp. 214–228], p. 226;

  3. 2a)

    L. Kronecker,Ueber quadratische Formen von negativer Determinante [Monatsberichte der K. Akademie der Wissenschaften, Berlin, 1875, pp. 233–236].

  4. 3)

    E. T. Bell,Arithmetical paraphrases [Transactions of the American Mathematical Society, vol. 22 (1921), pp. 1–39], p. 4, n∘ 6.

  5. 4)

    l. c. 1).

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Bell, E.T. The general class number relations contained in Jacobi’s theta formula. Rend. Circ. Matem. Palermo 50, 368–374 (1926). https://doi.org/10.1007/BF03014762

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