11 citations · 29 across the 19 of their papers we have counts for
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Analogue of the theta group II
Kazuhide Matsuda
In this series of papers, we introduce higher level versions of the theta group In this paper, we treat the theta group of level , and construct modular forms…
Analogue of the theta group
Kazuhide Matsuda
In this paper, we introduce higher level versions of the theta group In particular, we treat level 3 and 4 versions of the theta group, and and prove tha…
Notes on the multiplier systems of and
Kazuhide Matsuda
The multiplier systems of and are characters. In this paper, we determine their kernels, Ker and Ker.
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…
Mixed sums of triangular numbers and certain binary quadratic forms
Kazuhide Matsuda
In this paper, we prove that for , every natural number can be written as , where , , , and are nonnegative integers and …
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…
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 th power versions,$(k=7,9,11,\ldot…