D. Shin

activity

20102026

most citedBinary quadratic forms and ray class groups

11 citations · 17 across the 30 of their papers we have counts for

collaborators

Showing 2011 · math.NTShow all

3 papers · 2 filters

math.NT2011

Completely normal elements in finite abelian extensions

Ja Kung Koo, Dong Hwa Shin

We give a completely normal element in the maximal real subfield of a cyclotomic field over the field of rational numbers, which is different from that of Okada. This result is a c…

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…

Completely normal elements in finite abelian extensions

Singular values of principal moduli

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

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