Ramanujan type congruences for quotients of level 7 Klein forms

Klein forms are used to construct generators for the graded algebra of modular level 7. Dissection formulas series imply Ramanujan type congruences modulo powers 7 a family generating functions that subsume counting function 7-core partitions. The broad class arithmetic considered here enumerate colored partitions by weights determined parts method is prototype similar analysis and at other prime levels. As an example utility dissection method, paper concludes with derivation novel number representations x2+xy+2y2 in exactly k ways.