Ramanujan's class invariants and cubic continued fraction
Bruce C. Berndt, Heng Huat Chan, Liang-Cheng Zhang (1995)
Acta Arithmetica
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Bruce C. Berndt, Heng Huat Chan, Liang-Cheng Zhang (1995)
Acta Arithmetica
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Khusnutdinova, N.V. (2001)
Sibirskij Matematicheskij Zhurnal
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Bruce C. Berndt, Heng Huat Chan, Liang-Cheng Zhang (1998)
Acta Arithmetica
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Kuznetsov, D.S. (2002)
Sibirskij Matematicheskij Zhurnal
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Mikhajlov, G.A., Burmistrov, A.V. (2000)
Siberian Mathematical Journal
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Borovkov, A.A. (2002)
Sibirskij Matematicheskij Zhurnal
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Korotkov, V.B. (2000)
Sibirskij Matematicheskij Zhurnal
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Soon-Yi Kang (1999)
Acta Arithmetica
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Hong-Quan Liu (1993)
Acta Arithmetica
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1. Introduction. The aim of this paper is to supply a still better result for the problem considered in [2]. Let A(x) denote the number of distinct abelian groups (up to isomorphism) of orders not exceeding x. We shall prove Theorem 1. For any ε > 0, , where C₁, C₂ and C₃ are constants given on page 261 of [2]. Note that 50/199=0.25125..., thus improving our previous exponent 40/159=0.25157... obtained in [2]. To prove Theorem 1, we shall proceed along the line of approach presented...
Egorov, A.A., Korobkov, M.V. (2001)
Sibirskij Matematicheskij Zhurnal
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Djurčić, Dragan, Torgašev, Aleksandar, Ješić, Siniša (2008)
Sibirskij Matematicheskij Zhurnal
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