Two new partition identities are proved: three-colored partitions with certain forbidden differences have generating functions equal to a distinct-parts factor times the first or second Rogers-Ramanujan product.
Three-colored partitions and dilated companions of Capparelli’s identities
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On a pair of three-colored (mod 10) partition identities
Two new partition identities are proved: three-colored partitions with certain forbidden differences have generating functions equal to a distinct-parts factor times the first or second Rogers-Ramanujan product.