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  • ...on field of the corresponding quotient, i.e., it is a Hauptmodul for the [[modular curve]] ''X''(2). Over any point &tau;, its value can be described as a [[ ...ull modular group <math>SL_2(\mathbb{Z})</math>, and it is in fact Klein's modular [[j-invariant]]. ...
    7 KB (965 words) - 01:00, 9 September 2019
  • [[Category:Modular forms]] ...
    4 KB (590 words) - 16:05, 3 March 2020
  • ...alled theta constants.) These can be used to define a variety of [[modular forms]], and to parametrize certain curves; in particular, the '''Jacobi identity ...as adding {{sfrac|1|2}} to {{mvar|z}} ({{math|''n'' ≡ ''n''<sup>2</sup> [[Modular arithmetic|mod]] 2}}). For the second, let ...
    28 KB (4,239 words) - 06:08, 1 October 2020
  • * {{math|''α''}}, the ''[[modular angle]]'' ...mentary parameter'', the ''complementary modulus,'' or the ''complementary modular angle''. These are further defined in the article on [[quarter period]]s. ...
    21 KB (3,179 words) - 08:59, 16 November 2020
  • ...)|plane]] (see figure). Ellipses have many similarities with the other two forms of conic sections, [[parabola]]s and [[hyperbola]]s, both of which are [[op == Polar forms == ...
    76 KB (12,397 words) - 07:11, 3 November 2020
  • ...er, are [[rational number]]s and play an important role in the theory of [[modular form]]s. Many generalizations of the Riemann zeta function, such as [[Diric ...
    61 KB (9,264 words) - 00:31, 10 November 2020
  • ...function, whether applied to [[real number]]s or [[complex number]]s. The modular [[discrete logarithm]] is another variant; it has uses in [[public-key cryp [[logarithmic form|Logarithmic one-forms]] {{math|''df''/''f''}} appear in [[complex analysis]] and [[algebraic geom ...
    99 KB (14,617 words) - 08:04, 4 November 2020