Representations of integers as sums of squares

DOI10.1006/jnth.2001.2765zbMath1125.11321OpenAlexW2024363070MaRDI QIDQ701109

Ken Ono

Publication date: 16 October 2002

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

Full work available at URL: https://doi.org/10.1006/jnth.2001.2765

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Lattice points in specified regions (11P21)

Related Items

Some characters of Kac and Wakimoto and nonholomorphic modular functions, Representations by sextenary quadratic forms with coefficients 1, 2, 3 and 6 and on newforms in \(S_3(\Gamma_{0}(24),\chi)\), On special values of certain Dirichlet \(L\)-functions, On a conjecture for representations of integers as sums of squares and double shuffle relations, On the representation of integers as sums of an odd number of squares, An introduction to the circle method of Hardy, Littlewood, and Ramanujan, Representations of integers as sums of an even number of squares, Partition identities and a theorem of Zagier, Analogues of Jacobi's inversion formula for the incomplete elliptic integral of the first kind

Cites Work

• Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions
• Sums of Squares and Cusp Forms
• New infinite families of exact sums of squares formulas, Jacobi elliptic functions, and Ramanujan’s tau function
• A proof of the Kac-Wakimoto affine denominator formula for the strange series.
• Unnamed Item