On the number of representations of certain integers as sums of 11 or 13 squares.

DOI10.1016/j.jnt.2003.06.001zbMath1078.11023OpenAlexW2067414031MaRDI QIDQ1421288

Shaun Cooper

Publication date: 26 January 2004

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2003.06.001

zbMATH Keywords

Hecke operatorSums of squaresModular forms of half integer weight

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Forms of half-integer weight; nonholomorphic modular forms (11F37) Representation problems (11D85)

Related Items (8)

On the number of primitive representations of integers as sums of squares ⋮ On special values of certain Dirichlet \(L\)-functions ⋮ Representations of squares by certain diagonal quadratic forms in an odd number of variables ⋮ On the representation of integers as sums of an odd number of squares ⋮ Proof of a conjecture of Cooper ⋮ A canonical subspace of modular forms of half-integral weight ⋮ SUMS OF SQUARES AND PARTITION CONGRUENCES ⋮ Analytical methods for fast converging lattice sums for cubic and hexagonal close-packed structures

Cites Work

• On representations of a number as a sum of three squares
• Powers of Euler's product and related identities
• Sums of five, seven and nine squares
• Formulae associated with 5, 7, 9 and 11 squares
• О числе представлений натуральных чисел суммами девяти квадратов
• A SQUARE AS THE SUM OF 7 SQUARES
• A Square as the Sum of 9, 11 and 13 Squares
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