Geodesic
A Generating Function for $\sigma(3n-1)$
Matematičeskie zametki, Tome 95 (2014) no. 4, pp. 630-634.

Voir la notice de l'article provenant de la source Math-Net.Ru

Keywords: natural number, sum of divisors of a natural number $\sigma(n)$, generating function for $\sigma(3n-1)$, theta function, Lambert series. 
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S. E. Gladun. A Generating Function for $\sigma(3n-1)$. Matematičeskie zametki, Tome 95 (2014) no. 4, pp. 630-634. http://geodesic.mathdoc.fr/item/MZM_2014_95_4_a12/

[1] G. Khardi, Dvenadtsat lektsii o Ramanudzhane, Institut kompyuternykh issledovanii, M., 2002 | MR | Zbl

[2] T. M. Apostol, Introduction to Analytic Number Theory, Undergraduate Texts in Math., Springer-Verlag, New York, 1976 | MR | Zbl

[3] B. C. Berndt, Ramanujan's Notebooks, Part V, Springer-Verlag, New York, 1998 | MR | Zbl

[4] B. C. Berndt, S. Bhargava, F. G. Garvan, Trans. Amer. Math. Soc., 347:11 (1995), 4163–4244 | MR | Zbl

[5] F. G. Garvan, J. Symbolic Comput., 20:5-6 (1995), 517–536 | DOI | MR | Zbl

[6] G. Polia, G. Sege, Zadachi i teoremy iz analiza. Ch. 2. Teoriya funktsii. Raspredelenie nulei. Polinomy. Opredeliteli. Teoriya chisel, Nauka, M., 1978 | MR | Zbl

[7] B. C. Berndt, Ramanujan's Notebooks, Part IV, Springer-Verlag, New York, 1994 | MR | Zbl

[8] B. C. Berndt, Ramanujan's Notebooks, Part III, Springer-Verlag, New York, 1991 | MR | Zbl