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Newman's Conjecture


If m is an integer, then for every residue class r (mod m), there are infinitely many nonnegative integers n for which P(n)=r (mod m), where P(n) is the partition function P.


See also

Erdős-Ivić Conjecture, Partition Function P

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References

Newman, M. "Periodicity Modulo m and Divisibility Properties of the Partition Function." Trans. Amer. Math. Soc. 97, 225-236, 1960.Ono, K. "Distribution of the Partition Functions Modulo m." Ann. Math. 151, 293-307, 2000.

Referenced on Wolfram|Alpha

Newman's Conjecture

Cite this as:

Weisstein, Eric W. "Newman's Conjecture." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NewmansConjecture.html

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