Representations of squares by certain diagonal quadratic forms in an odd number of variables

DOI10.1216/rmj.2023.53.1219arXiv2110.03974MaRDI QIDQ6184973

Anup Kumar Singh, Brundaban Sahu, B. Ramakrishnan

Publication date: 5 January 2024

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.03974

zbMATH Keywords

modular formsShimura correspondencequadratic forms in odd variables

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) Forms of half-integer weight; nonholomorphic modular forms (11F37) Holomorphic modular forms of integral weight (11F11) Modular correspondences, etc. (11F32)

Cites Work

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• On the representation of integers as sums of an odd number of squares
• On the number of representations of certain integers as sums of 11 or 13 squares.
• Modular forms of half integral weight, some explicit arithmetic
• Sums of five, seven and nine squares
• On the Diophantine equation \(n^2 = x^2 +by^2 +cz^2\)
• On modular forms of half integral weight
• Theory of newforms for Eisenstein series of half-integral weight
• Formulae associated with 5, 7, 9 and 11 squares
• Newforms of half-integral weight.
• О числе представлений натуральных чисел суммами девяти квадратов
• On the number of representations by certain octonary quadratic forms with coefficients 1, 2, 3, 4 and 6
• Representations of squares by certain quinary quadratic forms
• On a remark of Cooper, Lam and Ye
• A SQUARE AS THE SUM OF 7 SQUARES
• A Square as the Sum of 9, 11 and 13 Squares