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math.NT2026
Dyadic Structure of the Two-Block Odd Partition Function and Theta-Weighted Congruences for
Mircea Merca
The two-block odd partition function \(a(n)\) is the signed enumeration of partitions into exactly two distinct part sizes, each occurring an odd number of times. By separating the…
math.NT2026
The two-block odd partition function
Mircea Merca
We investigate arithmetic and combinatorial properties of the function , which is the signed number of partitions of into exactly two distinct part sizes, each occurring…