Tetragonal modular curves
Daeyeol Jeon, Euisung Park (2005)
Acta Arithmetica
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Displaying similar documents to “On the cuspidal divisor class group of a Drinfeld modular curve.”
Tetragonal modular curves
A Siegel modular 3-fold that is a Picard modular 3-fold
Bruce Hunt (1990)
Compositio Mathematica
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Harmonic weak Maass-modular grids in higher level cases
Bumkyu Cho, SoYoung Choi, Chang Heon Kim (2013)
Acta Arithmetica
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We extend Guerzhoy's Maass-modular grids on the full modular group SL₂(ℤ) to congruence subgroups Γ₀(N) and Γ₀⁺(p).
The p-Primary Component of the Cuspidal Divisor Class Group on the Modular Curve X(p).
Serge Lang, Daniel S. Kubert (1978)
Mathematische Annalen
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The modular degree and the congruence number of a weight 2 cusp form
Alina Carmen Cojocaru, Ernst Kani (2004)
Acta Arithmetica
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Products of special values of modular L-functions and their applications
Masataka Chida (2005)
Acta Arithmetica
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Hecke action and the degree of the modular parameterization
Arjune Budhram (2002)
Acta Arithmetica
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Generators and defining equation of the modular function field of the group Γ₁(N)
Nobuhiko Ishida, Noburo Ishii (2002)
Acta Arithmetica
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Some congruence property of modular forms.
Shoyu Nagaoka (1997)
Manuscripta mathematica
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Equations of hyperelliptic modular curves
Josep Gonzalez Rovira (1991)
Annales de l'institut Fourier
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We compute, in a unified way, the equations of all hyperelliptic modular curves. The main tool is provided by a class of modular functions introduced by Newman in 1957. The method uses the action of the hyperelliptic involution on the cusps.
On the arithmetic of certain modular curves
Daeyeol Jeon, Chang Heon Kim (2007)
Acta Arithmetica
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On the concentration of points on modular hyperbolas and exponential curves
Tsz Ho Chan, Igor E. Shparlinski (2010)
Acta Arithmetica
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Integral points of a modular curve of level 11
René Schoof, Nikos Tzanakis (2012)
Acta Arithmetica
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Arithmetic of the modular function
Chang Heon Kim, Ja Kyung Koo (1998)
Acta Arithmetica
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We find a generator of the function field on the modular curve X₁(4) by means of classical theta functions θ₂ and θ₃, and estimate the normalized generator which becomes the Thompson series of type 4C. With these modular functions we investigate some number theoretic properties.
On values of a modular form on Γ₀(N)
D. Choi (2006)
Acta Arithmetica
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