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 Γc
Congruence properties of the m-ary partition function
β 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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