Evaluation of Convolution Sums entailing mixed Divisor Functions for a Class of Levels
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Publication:5856452
zbMath1472.11039arXiv1903.06019MaRDI QIDQ5856452
Publication date: 26 March 2021
Full work available at URL: https://arxiv.org/abs/1903.06019
modular formscusp formsnumber of representationsDedekind eta functionconvolution sumsDirichlet charactersoctonary quadratic formssums of divisorsEisenstein forms
Sums of squares and representations by other particular quadratic forms (11E25) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20) Arithmetic functions; related numbers; inversion formulas (11A25)
Related Items
Cites Work
- Some arithmetic identities involving divisor functions
- Evaluation of the convolution sum involving the sum of divisors function for 22, 44 and 52
- The representability of modular forms by theta series
- Evaluation of some convolution sums and representation of integers by certain quadratic forms in 12 variables
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- EVALUATING CONVOLUTION SUMS OF THE DIVISOR FUNCTION BY QUASIMODULAR FORMS
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