2 citations · 4 across the 3 of their papers we have counts for
3 papers
math.CA2016★ 2 cited
Note on some theorem of Farkas and Kra
Kazuhide Matsuda
In this paper, we apply high level versions of Jacobi's derivative formula to number theory such as quarternary quadratic forms and convolution sums of some arithmetical functions.
math.NT2014★ 2 cited
On certain quaternary quadratic forms
Kazuhide Matsuda
In this paper, we determine all the positive integers and such that every nonnegative integer can be represented as $$ f^{a,b}_c(x,y,z,w)=ax^2+by^2+c(z^2+zw+w^2) \,\, \t…
math.NT2014
Analogues of Jacobi's derivative formula
Kazuhide Matsuda
In this paper, we obtain analogues of Jacobi's derivative formula in terms of the theta constants with rational characteristics. For this purpose, we use the arithmetic formulas of…