Sums of nonvanishing integral squares in real quadratic fields

DOI10.1016/j.jnt.2017.01.006zbMath1426.11024OpenAlexW2592671547MaRDI QIDQ529479

Byeong Moon Kim, Ji Young Kim

Publication date: 18 May 2017

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.01.006

zbMATH Keywords

totally positive integersum of nonvanishing squares

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Miscellaneous applications of number theory (11Z05) Forms over real fields (11E10)

Related Items (3)

Unnamed Item ⋮ REPRESENTATION OF A POSITIVE INTEGER BY A SUM OF LARGE FOUR SQUARES ⋮ Pythagoras numbers of orders in biquadratic fields

Cites Work

• Binary quadratic forms represented by a sum of nonzero squares
• Sums of distinct integral squares in real quadratic fields
• Sums of distinct integral squares in \(\mathbb Q(\sqrt 5)\)
• Universal octonary diagonal forms over some real quadratic fields.
• Sums of \(m\)th powers of algebraic integers
• SUMS OF DISTINCT INTEGRAL SQUARES IN , AND
• Sums of Four Squares in a Quadratic Ring
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