Lambert series (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Lambert series" in English language version.

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See the forum post here (or the article arXiv:1112.4911) and the conclusions section of arXiv:1712.00611 by Merca and Schmidt (2018) for usage of these two less standard Lambert series for the Moebius function in practical applications.
Merca, M. & Schmidt, M. D. (2019). "Generating Special Arithmetic Functions by Lambert Series Factorizations". Contributions to Discrete Mathematics. 14 (1): 31–45. arXiv:1706.00393. Bibcode:2017arXiv170600393M. doi:10.11575/cdm.v14i1.62425.
Schmidt, Maxie D. (8 December 2017). "New Recurrence Relations and Matrix Equations for Arithmetic Functions Generated by Lambert Series". Acta Arithmetica. 181 (4): 355–367. arXiv:1701.06257. Bibcode:2017arXiv170106257S. doi:10.4064/aa170217-4-8. S2CID 119130467.
M. Merca & Schmidt, M. D. (2017). "New Factor Pairs for Factorizations of Lambert Series Generating Functions". arXiv:1706.02359 [math.CO].
Schmidt, Maxie D. (2017). "Combinatorial Sums and Identities Involving Generalized Divisor Functions with Bounded Divisors". arXiv:1704.05595 [math.NT].
Schmidt, Maxie D. (2017). "Factorization Theorems for Hadamard Products and Higher-Order Derivatives of Lambert Series Generating Functions". arXiv:1712.00608 [math.NT].

Merca, Mircea (13 January 2017). "The Lambert series factorization theorem". The Ramanujan Journal. 44 (2): 417–435. doi:10.1007/s11139-016-9856-3. S2CID 125286799.
Merca, M. & Schmidt, M. D. (2019). "Generating Special Arithmetic Functions by Lambert Series Factorizations". Contributions to Discrete Mathematics. 14 (1): 31–45. arXiv:1706.00393. Bibcode:2017arXiv170600393M. doi:10.11575/cdm.v14i1.62425.
Schmidt, Maxie D. (8 December 2017). "New Recurrence Relations and Matrix Equations for Arithmetic Functions Generated by Lambert Series". Acta Arithmetica. 181 (4): 355–367. arXiv:1701.06257. Bibcode:2017arXiv170106257S. doi:10.4064/aa170217-4-8. S2CID 119130467.

Merca, M. & Schmidt, M. D. (2019). "Generating Special Arithmetic Functions by Lambert Series Factorizations". Contributions to Discrete Mathematics. 14 (1): 31–45. arXiv:1706.00393. Bibcode:2017arXiv170600393M. doi:10.11575/cdm.v14i1.62425.
Schmidt, Maxie D. (8 December 2017). "New Recurrence Relations and Matrix Equations for Arithmetic Functions Generated by Lambert Series". Acta Arithmetica. 181 (4): 355–367. arXiv:1701.06257. Bibcode:2017arXiv170106257S. doi:10.4064/aa170217-4-8. S2CID 119130467.

See the forum post here (or the article arXiv:1112.4911) and the conclusions section of arXiv:1712.00611 by Merca and Schmidt (2018) for usage of these two less standard Lambert series for the Moebius function in practical applications.

Merca, Mircea (13 January 2017). "The Lambert series factorization theorem". The Ramanujan Journal. 44 (2): 417–435. doi:10.1007/s11139-016-9856-3. S2CID 125286799.
Schmidt, Maxie D. (8 December 2017). "New Recurrence Relations and Matrix Equations for Arithmetic Functions Generated by Lambert Series". Acta Arithmetica. 181 (4): 355–367. arXiv:1701.06257. Bibcode:2017arXiv170106257S. doi:10.4064/aa170217-4-8. S2CID 119130467.