On the representation of integers as sums of an odd number of squares

DOI10.1007/s11139-007-9082-0zbMath1241.11045OpenAlexW2126904268WikidataQ114223589 ScholiaQ114223589MaRDI QIDQ953256

B. Ramakrishnan, Sanoli Gun

Publication date: 17 November 2008

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-007-9082-0

zbMATH Keywords

sums of squaresrepresentationsShimura correspondence

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Fourier coefficients of automorphic forms (11F30) Modular correspondences, etc. (11F32) Representation problems (11D85)

Related Items (6)

On special values of certain Dirichlet \(L\)-functions ⋮ Representations of squares by certain diagonal quadratic forms in an odd number of variables ⋮ A NOTE ON SPECIAL VALUES OF CERTAIN DIRICHLET L-FUNCTIONS ⋮ Proof of a conjecture of Cooper ⋮ A canonical subspace of modular forms of half-integral weight ⋮ Analytic number theory in India during 2001-2010

Cites Work

• Unnamed Item
• Unnamed Item
• Representations of integers as sums of squares
• On the number of representations of certain integers as sums of 11 or 13 squares.
• Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions
• Modular forms of half integral weight, some explicit arithmetic
• Sums of five, seven and nine squares
• Formulae associated with 5, 7, 9 and 11 squares
• О числе представлений натуральных чисел суммами девяти квадратов
• Sums of Squares and Cusp Forms
• A SQUARE AS THE SUM OF 7 SQUARES
• A Square as the Sum of 9, 11 and 13 Squares
• A proof of the Kac-Wakimoto affine denominator formula for the strange series.

This page was built for publication: On the representation of integers as sums of an odd number of squares