Liouville identities with two functions
2016 ◽
Vol 12
(05)
◽
pp. 1345-1363
We express products of Lambert series as power series. We use these Lambert series-to-power series identities to obtain new Liouville identities with two functions. Many of the known Liouville identities follow from our new identities. We explore the relationships between Lambert series, new Liouville identities, and convolution sums. We then obtain recursive formulae for various convolution sums.
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1986 ◽
Vol 133
(5)
◽
pp. 375
◽
2018 ◽
Vol 482
(5)
◽
pp. 500-503
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2016 ◽
Vol 11
(1)
◽
pp. 38-52
1984 ◽
Vol 29
(2)
◽
pp. 153-159
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