Tsukuba Journal of Mathematics, Vol. 37, No. 1 (July 2013), pp. 1-11 (11 pages) In Theorem 2.5 in previous paper [4], we determined the Fourier coefficients of the image of Shimura correspondence of ...

We study the existence of a modular form satisfying a certain congruence relation. The existence of such modular forms plays an important role in the determination of the structure of a ring of ...

A type of symmetry so unusual that it was called a “pariah” turns out to have deep connections to number theory. In 1892, the mathematician Otto Hölder posed a question that would occupy the field for ...