CONVOLUTION SUMS INVOLVING THE DIVISOR FUNCTION

DOI10.1017/S0013091503000956zbMath1156.11301OpenAlexW2159144193MaRDI QIDQ4673921

Nathalie Cheng, Kenneth S. Williams

Publication date: 9 May 2005

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091503000956

zbMATH Keywords

divisor functionconvolution sumarithmetic identity

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (7)

Unnamed Item ⋮ Evaluation of the sums % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfKttLearuqr1ngBPrgarmWu51MyVXguY9 % gCGievaerbd9wDYLwzYbWexLMBbXgBcf2CPn2qVrwzqf2zLnharyav % P1wzZbItLDhis9wBH5garqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC % 0xbbL8F4rqqrFfpeea0xe9Lq-Jc9vqaqpepm0xbba9pwe9Q8fs0-yq % aqpepae9pg0FirpepeKkFr0xfr-xfr-xb9adbaqaaeGaciGaaiaabe % qaamaaeaqbaaGcbaWaaabCaeaacqaHdpWCcqGGOaakcqWGTbqBcqGG % PaqkcqaHdpWCcqGGOaakcqWGUbGBcqGHsislcqWGTbqBcqGGPaqkaS % … ⋮ On the number of representations of an integer by certain quadratic forms in sixteen variables ⋮ Evaluation of the convolution sums \(\sum _{l+6m=n}\sigma (l)\sigma (m)\) and \(\sum _{2l+3m=n}\sigma (l)\sigma (m)\) ⋮ Convolution sums of some functions on divisors ⋮ EVALUATION OF THE CONVOLUTION SUMS ∑_l+15m=nσ(l)σ(m) AND ∑_3l+5m=nσ(l)σ(m) AND AN APPLICATION ⋮ Analogues of Ramanujan's 24 squares formula

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