On the number of representations of certain quadratic forms in 20 and 24 variables

DOI10.7169/FACM/2016.54.2.2zbMath1407.11011OpenAlexW2468795469MaRDI QIDQ1744946

Brundaban Sahu, B. Ramakrishnan

Publication date: 20 April 2018

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1466450664

zbMATH Keywords

representation numbers of quadratic formsmodular forms of one variableconvolution sums of the divisor functions

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Holomorphic modular forms of integral weight (11F11) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (1)

On the number of representations of certain quadratic forms and a formula for the Ramanujan tau function

Uses Software

• LMFDB

Cites Work

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• Some arithmetic identities involving divisor functions
• The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004
• Bernoulli numbers, convolution sums and congruences of coefficients for certain generating functions
• On the number of representations of an integer by certain quadratic forms in sixteen variables
• 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 ∑_l+15m=nσ(l)σ(m) AND ∑_3l+5m=nσ(l)σ(m) AND AN APPLICATION
• EVALUATION OF THE CONVOLUTION SUMS ∑_i+3j=nσ(i)σ₃(j) AND ∑_3i+j=nσ(i)σ₃(j)

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