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The generating functions of the rank and crank modulo

✍ Scribed by Richard Lewis

Publisher
Springer US
Year
2007
Tongue
English
Weight
478 KB
Volume
18
Category
Article
ISSN
1382-4090

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πŸ“œ SIMILAR VOLUMES

The Ranks and Cranks of Partitions Modul
The Ranks and Cranks of Partitions Moduli 2, 3, and 4
✍ George A Andrews; Richard Lewis πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 124 KB

We discuss inequalities between the rank counts N(r, m, n) and between the crank counts M(r, m, n), for m=2, 3, and 4, and state three conjectures. 2000 Academic Press N(m, n)=N(&m, n) and N(r, m, n)=N(&r, m, n).

The Sum-of-Digits-Function and Uniform D
The Sum-of-Digits-Function and Uniform Distribution Modulo 1
✍ Michael Drmota; Gerhard Larcher πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 210 KB

The aim of this paper is to provide detailed estimates for the discrepancy of the sequences ([: } s q (n)]) ([x] denotes the fractional part of x) and results concerning the uniform distribution and the discrepancy of the sequences ([: 1 } s q 1 (n)], ..., [: d } s q d (n)]), where :, : 1 , ..., : d