{"product_id":"on-partition-theory-von-sabuj-das","title":"On Partition Theory","description":"\u003cp\u003eA partition of n is a division of n into any number of positive integral parts. Then the sum of the integral parts is n. The order of the parts and arrangement in a division of n are irrelevant and the parts are arranged in descending order. We denote the number of partitions of n by P(n). We introduce a brief survey of Ramanujan¿s partitions congruences. We mainly concern with combinatorial aspects of the congruences moduli 5, 7 in terms of the rank and crank of vector partitions separately.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783659536847\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783659536847","offer_id":39434222239837,"sku":"9783659536847","price":71.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/9f5c1d24-91c4-43db-974d-58debaace076.jpg?v=1772777509","url":"https:\/\/shop.autorenwelt.de\/en\/products\/on-partition-theory-von-sabuj-das","provider":"Autorenwelt Shop","version":"1.0","type":"link"}