D. Shin

most citedRepresentations by

x_{1}^{2} + 2 x_{2}^{2} + x_{3}^{2} + x_{4}^{2} + x_{1} x_{3} + x_{1} x_{4} + x_{2} x_{4}

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math.NT2012

Application of Weierstrass units to relative power integral bases

Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin

Let $K$ be an imaginary quadratic field other than $Q (- 1)$ and $Q (- 3)$ . We construct relative power integral bases between certain abelian extension…

math.NT2012

Some applications of modular units

Ick Sun Eum, Ja Kyung Koo, Dong Hwa Shin

We show that a weakly holomorphic modular function can be written as a sum of modular units of higher level. We further find a necessary and sufficient condition for a Siegel modul…

math.NT2011

Singular values of principal moduli

Ja Kyung Koo, Dong Hwa Shin

Let $g$ be a principal modulus with rational Fourier coefficients for a discrete subgroup of $SL_{2} (R)$ between $Γ (N)$ or $Γ_{0} (N)^{†}$ for a positive integer $N$ . Le…

math.NT2011★ 1 cited

Representations by $x_{1}^{2} + 2 x_{2}^{2} + x_{3}^{2} + x_{4}^{2} + x_{1} x_{3} + x_{1} x_{4} + x_{2} x_{4}$

Ick Sun Eum, Dong Hwa Shin, Dong Sung Yoon

Let $r_{Q} (n)$ be the representation number of a nonnegative integer $n$ by the quaternary quadratic form $Q = x_{1}^{2} + 2 x_{2}^{2} + x_{3}^{2} + x_{4}^{2} + x_{1} x_{3} + x_{1} x_{4} + x_{2} x_{4}$ . We first prove the identi…

Application of Weierstrass units to relative power integral bases

Some applications of modular units

Singular values of principal moduli

Representations by x12​+2x22​+x32​+x42​+x1​x3​+x1​x4​+x2​x4​

Representations by $x_{1}^{2} + 2 x_{2}^{2} + x_{3}^{2} + x_{4}^{2} + x_{1} x_{3} + x_{1} x_{4} + x_{2} x_{4}$