Yazar "Alaca, Şaban" için listeleme
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Evaluation of the convolution sum sigma(al+bm=n) sigma(l)sigma(m) for (a, b) = (1, 48), (3, 16), (1, 54), (2, 27)
Alaca, Şaban; Kesicioğlu, Yavuz (Wydawnictwo Naukowe Uam, 2019)We determine the convolution sum Sigma(al+bm=n) sigma(l)sigma(m) for (a, b) = (1, 48), (3, 16), (1, 54), (2, 27) for all positive integers n. We then use these evaluations together with known evaluations of other convolution ... -
Evaluation of the convolution sum ∑al+bm=nσ(l)σ3(m) for (a,b)=(1,7),(7,1),(1,8),(8,1),(1,9),(9,1) and representations by certain quadratic forms in twelve variables
Alaca, Şaban; Kesicioğlu, Yavuz (Springer, 2023)For a positive integer n we evaluate the convolution sum Sigma(al+ bm=n) sigma(l) sigma(3)(m) for (a, b) = (1, 7), (7, 1), (1, 8), (8, 1), (1, 9), (9, 1) . We then use these evaluations together with knownevaluations of ... -
Evaluation of the convolution sums Sigma(l+27m=n) sigma(l)sigma(m) and Sigma(l+32m=n) sigma(l)sigma(m)
Alaca, Şaban; Kesicioğlu, Yavuz (World Scientific Publ Co Pte Ltd, 2016)We determine the convolution sums Sigma(l+27m= n) sigma(l)sigma(m) and Sigma(l+32m= n) sigma(l)sigma(m) for all positive integers n. We then use these evaluations together with known evaluations of other convolution sums ... -
Representations by certain octonary quadratic forms whose coefficients are 1, 2, 3 and 6
Alaca, Şaban; Kesicioğlu, Yavuz (World Scientific Publ Co Pte Ltd, 2014)We determine formulae for the numbers of representations of a positive integer by certain octonary quadratic forms whose coefficients are 1, 2, 3 and 6.
