Trigonometric analogues of the identities associated with twisted sums of divisor functions

Author:

Banerjee Debika,Khurana Khyati

Funder

University Grants Commission

Publisher

Springer Science and Business Media LLC

Reference27 articles.

1. Ramanujan, S.: The Lost Notebook and Other Unpublished Papers. Springer/Narosa Publishing House, Berlin/New Delhi (1988), with an introduction by G.E. Andrews

2. Watson, G.N.: A Treatise on the Theory of Bessel Functions. Series Cambridge Mathematical Library. Cambridge University Press, Cambridge (1995) reprint of the 2nd edn. (1944)

3. Berndt, B.C., Zaharescu, A.: Weighted divisor sums and Bessel function series. Math. Ann. 335(2), 249–283 (2006). https://doi.org/10.1007/s00208-005-0734-3

4. Berndt, B.C., Kim, S., Zaharescu, A.: Circle and divisor problems, and double series of Bessel functions. Adv. Math. 236, 24–59 (2013). https://doi.org/10.1016/j.aim.2012.11.017

5. Berndt, B.C., Kim, S., Zaharescu, A.: Weighted divisor sums and Bessel function series, II. Adv. Math. 229(3), 2055–2097 (2012). https://doi.org/10.1016/j.aim.2011.10.016

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