The crank of partitions mod 13

Let M ( r , m , n ) be the number of unrestricted partitions of n with crank congruent to r modulo m . Here the relations between the numbers M ( r ,13,13 n + k ) when 0≤ r

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Bibliographic Details
Published in:The Ramanujan journal 2013-04, Vol.30 (3), p.403-424
Main Author: Bilgici, Göksal
Format: Article
Language:English
Subjects:
Combinatorics
Field Theory and Polynomials
Fourier Analysis
Functions of a Complex Variable
Mathematics
Mathematics and Statistics
Number Theory
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Summary:Let M ( r , m , n ) be the number of unrestricted partitions of n with crank congruent to r modulo m . Here the relations between the numbers M ( r ,13,13 n + k ) when 0≤ r
ISSN:1382-4090
1572-9303
DOI:10.1007/s11139-012-9430-6