Cooper and Lam's conjecture for generalized Bell ternary quadratic forms
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Publication:495269
DOI10.1016/j.jnt.2015.06.020zbMath1330.11022OpenAlexW1148702879WikidataQ123136479 ScholiaQ123136479MaRDI QIDQ495269
Publication date: 9 September 2015
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2015.06.020
theta functionternary quadratic formsum of squaresCooper and Lam's conjectureHurwitz three-squares formula
Sums of squares and representations by other particular quadratic forms (11E25) Counting solutions of Diophantine equations (11D45)
Related Items (5)
On universal zero-free ternary quadratic form representations of primes in arithmetic progressions ⋮ Quadratic forms with a strong regularity property on the representations of squares ⋮ Ramanujan’s theta functions and sums of triangular numbers ⋮ The number of representations of integers by generalized Bell ternary quadratic forms ⋮ Spinor representations of positive definite ternary quadratic forms
Cites Work
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- On the representation numbers of ternary quadratic forms and modular forms of weight \(3/2\)
- On representations of a number as a sum of three squares
- Results of Hurwitz type for three squares.
- On the Diophantine equation \(n^2 = x^2 +by^2 +cz^2\)
- On the number of primitive representations of integers as sums of squares
- On the representations, 𝑁₃(𝑛²)
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