Eisenstein series and convolution sums

Author:

Aygin Zafer SelcukORCID

Funder

Ministry of Education - Singapore

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference28 articles.

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

2. Alaca, A., Alaca, Ş., Williams, K.S.: Evaluation of the convolution sums $$\sum _{l+18m=n} \sigma (l) \sigma (m) $$ ∑ l + 18 m = n σ ( l ) σ ( m ) and $$\sum _{2l+9m=n} \sigma (l) \sigma (m) $$ ∑ 2 l + 9 m = n σ ( l ) σ ( m ) . Int. Math. Forum 2, 45–68 (2007)

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

4. Alaca, A., Alaca, Ş., Williams, K.S.: The convolution sum $$\sum _{m{<}n/16} \sigma (m)\sigma (n - 16m)$$ ∑ m < n / 16 σ ( m ) σ ( n - 16 m ) . Can. Math. Bull. 51, 3–14 (2008)

5. Alaca, Ş., Kesicioğlu, Y.: Evaluation of the convolution sums $$\sum _{l+27m=n} \sigma (l) \sigma (m) $$ ∑ l + 27 m = n σ ( l ) σ ( m ) and $$\sum _{l+32m=n} \sigma (l) \sigma (m) $$ ∑ l + 32 m = n σ ( l ) σ ( m ) . J. Number Theory 1, 1–13 (2016)

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