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On some double Nahm sums of Zagier

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On a pair of three-colored (mod 10) partition identities

math.CO · 2025-09-08 · conditional · novelty 6.0

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.

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  • On a pair of three-colored (mod 10) partition identities math.CO · 2025-09-08 · conditional · none · ref 8

    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.