Cooper and Lam's conjecture for generalized Bell ternary quadratic forms

DOI10.1016/j.jnt.2015.06.020zbMath1330.11022OpenAlexW1148702879WikidataQ123136479 ScholiaQ123136479MaRDI QIDQ495269

Werner Hürlimann

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

zbMATH Keywords

theta functionternary quadratic formsum of squaresCooper and Lam's conjectureHurwitz three-squares formula

Mathematics Subject Classification ID

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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