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Exotic Bailey-Slater spt-functions III: Bailey pairs from groups B, F, G, and J

Chris Jennings-Shaffer (2016)

Acta Arithmetica

We continue to investigate spt-type functions that arise from Bailey pairs. In this third paper on the subject, we proceed to introduce additional spt-type functions. We prove simple Ramanujan type congruences for these functions which can be explained by an spt-crank-type function. The spt-crank-type functions are actually defined first, with the spt-type functions coming from setting z = 1 in this definition. We find some of the spt-crank-type functions to have interesting representations as single...

Displaying 41 – 45 of 45

Exotic Bailey-Slater spt-functions III: Bailey pairs from groups B, F, G, and J

Explicit lower bounds for ${| | (3 / 2)}^{k} | |$

Exponential sums and additive problems involving square-free numbers

Extending a recent result of Santos on partitions into odd parts.

Extremal subsets of ${1, \dots, n}$ avoiding solutions to linear equations in three variables.

Currently displaying 41 – 45 of 45

Displaying 41 – 45 of 45

Exotic Bailey-Slater spt-functions III: Bailey pairs from groups B, F, G, and J

Explicit lower bounds for | | ( 3 / 2 ) k | |

Exponential sums and additive problems involving square-free numbers

Extending a recent result of Santos on partitions into odd parts.

Extremal subsets of { 1 , ⋯ , n } avoiding solutions to linear equations in three variables.

Currently displaying 41 – 45 of 45

Explicit lower bounds for ${| | (3 / 2)}^{k} | |$

Extremal subsets of ${1, \dots, n}$ avoiding solutions to linear equations in three variables.