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2 results

  • CONGRUENCE AND NON-CONGRUENCE SUBGROUPS OF THE (2,3,7)-GROUP

  • W. W. STOTHERS
  • Journal:
    Glasgow Mathematical Journal / Volume 48 / Issue 3 / September 2006
    Published online by Cambridge University Press:
    06 December 2006, pp. 351-363
    Print publication:
    September 2006
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  • Let $\Delta$ denote the (2,3,7)-group. We establish an upper bound for the number of congruence subgroups of index $n$ and a lower bound for the total number of subgroups of index $n$. Since the latter grows more quickly, there exist non-congruence subgroups of index $n$ for all $n$ greater than some $n_0$.

  • The Construction of Automorphic Forms From the Derivatives of a Given Form II

  • R. A. Rankin
  • Journal:
    Canadian Mathematical Bulletin / Volume 28 / Issue 3 / 01 September 1985
    Published online by Cambridge University Press:
    20 November 2018, pp. 306-316
    Print publication:
    01 September 1985
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  • Explicit constructions of polynomials of preassigned degree and weight in the derivatives of a given automorphic form are described and studied, supplementing the results of an earlier paper. It turns out that the problem is essentially one concerning symmetric functions rather than automorphic forms.