(49g 50g) Eta Quotients

09022019, 02:07 PM
(This post was last modified: 09032019 11:37 PM by John Keith.)
Post: #1




(49g 50g) Eta Quotients
The following program computes sequences known as "multiplicative eta quotients". While this might sound obscure, they include several wellknown sequences including the partition numbers and the Ramanujan tau sequence. In fact, this is an efficient program for computing the tau sequence, and is a generalization of the third program in post #1 of this thread.
The program requires the SUMDIVISORS program and the ListExt Library. A full explanation can be found in this paper, and a complete list of sequences here. Code:
To use the program, level 2 should have an integer representing the denominator of the quotient. Level 1 should have an integer representing the number of terms that the program will return. For example, with 24 on level 2 and 50 on level 1, the program will return the first 50 Ramanujan tau numbers. 

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