Evaluation of certain convolution sums involving the sum of the divisors function

Author:

Köklüce BülentORCID

Funder

Simons Foundation

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference32 articles.

1. Alaca, Ş, Kesicioğlu, Y.: Evaluation of the convolution sums $$\mathop \sum \limits _{l+27m=n} (l) (m)$$, and $$ \mathop \sum \limits _{l+32m=n} (l) (m)$$. Int. J. Number Theory (2014). https://doi.org/10.1142/S1793042116500019

2. Alaca, Ş, Kesicioğlu, Y.: Evaluation of the convolution sum $$\mathop \sum \limits _{al+bm=n} (l) (m)$$ for $$ (a, b)=(1,48), (3,16), (1,54), (2,27)$$. Funct. Approx. Comment. Math. 61, 27–45 (2017)

3. Alaca, Ş, Williams, K.S.: Evaluation of the convolution sums $$\mathop \sum \limits _{l+6m=n} (l) (m)$$ and $$ \mathop \sum \limits _{_{2l+3m=n}} (l) (m)$$. J. Number Theory 124, 491–510 (2007)

4. Alaca, A., Alaca, Ş, Williams, K.S.: Evaluation of the convolution sums $$\mathop {\displaystyle \sum }\limits _{l+12m=n} (l) (m)$$ and $$\mathop {\displaystyle \sum }\limits _{_{3l+4m=n}} (l) (m)$$. Adv. Theor. Appl. Math. 1(1), 27–48 (2006)

5. Alaca, A., Alaca, Ş, Williams, K.S.: Evaluation of the convolution sums $$\mathop {\displaystyle \sum }\limits _{l+24m=n} (l) (m)$$ and $$\mathop {\displaystyle \sum }\limits _{_{3l+8m=n}} (l) (m)$$. Math. J. Okayama Univ. 49, 93–111 (2007)

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