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Congruence properties of the m-ary partition function

✍ Scribed by George E Andrews


Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
221 KB
Volume
3
Category
Article
ISSN
0022-314X

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On m-ary Partition Function Congruences:
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Let b m (n) denote the number of partitions of n into powers of m. Define \_ r = = 2 m 2 += 3 m 3 + } } } += r m r , where = i =0 or 1 for each i. Moreover, let c r =1 if m is odd, and c r =2 r&1 if m is even. The main goal of this paper is to prove the congruence b m (m r+1 n&\_ r &m)#0 (mod m r Γ‚c

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