K. Matsuda

activity

20072026

most citedRational solutions of the Noumi and Yamada system of type

A_{4}^{(1)}

11 citations · 29 across the 19 of their papers we have counts for

collaborators

Showing 2014 · math.NTShow all

4 papers · 2 filters

math.NT2014★ 2 cited

On certain quaternary quadratic forms

Kazuhide Matsuda

In this paper, we determine all the positive integers $a, b$ and $c$ 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

Mixed sums of triangular numbers and certain binary quadratic forms

Kazuhide Matsuda

In this paper, we prove that for $d = 3, \dots, 8$ , every natural number can be written as $t_{x} + t_{y} + 3 t_{z} + d t_{w}$ , where $x$ , $y$ , $z$ , and $w$ are nonnegative integers and $t_{k} = k (k + 1) /2$ …

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…

math.NT2014

On quintic identities

Kazuhide Matsuda

In this paper, we derive quintic versions of the cubic identities of Farkas and Kra. We believe that our results can be easily generalized to $k$ th power versions,$(k=7,9,11,\ldot…