VIRASORO CHARACTER IDENTITIES AND ARTIN L-FUNCTIONS

Some identities between unitary minimal Virasoro characters at levels m = 3, 4, 5 are shown to arise as a consequence of relations between A rtin L-functions of different quadratic fields. The definitions and co ncepts of number theory necessary to present the theta function identi ties which can be derived from these relations are introduced. A new i nfinite family of identities between Virasoro characters at level 3 an d level m = 4a(2), for a odd and 1 + 4a(2) = a'(2)p, where p is prime is obtained as a by-product.