On evaluation of convolution sums involving divisor functions and partition functions

DOI10.1007/s10013-023-00619-1MaRDI QIDQ6632156

Pushpa Krishnan

Publication date: 4 November 2024

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

partitionEisenstein seriesquadratic formsDedekind eta functionconvolution sumsdivisors function

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Partitions; congruences and congruential restrictions (11P83) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Dedekind eta function, Dedekind sums (11F20) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Arithmetic functions; related numbers; inversion formulas (11A25)

Cites Work

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• On some Ramanujan identities for the ratios of eta-functions
• A quick combinatorial proof of Eisenstein series identities
• On modular relations for the Göllnitz-Gordon functions with application to partitions
• On Eisenstein series, color partition and divisor function
• On some Eisenstein series identities associated with Borwein's cubic theta functions
• On the number of representations of an integer by certain quadratic forms in sixteen variables
• Ramanujan's Theta Functions
• EVALUATING CONVOLUTION SUMS OF THE DIVISOR FUNCTION BY QUASIMODULAR FORMS
• О представлении чисел суммами квадратичных форм $x_{1}^{2} + x_{1}x_{2} + x_{2}^{2}$
• EVALUATION OF THE CONVOLUTION SUMS ∑_i+3j=nσ(i)σ₃(j) AND ∑_3i+j=nσ(i)σ₃(j)

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