Representations by some quinary quadratic forms of level 8

DOI10.1016/j.jnt.2018.02.005zbMath1441.11104OpenAlexW2793642171WikidataQ130119228 ScholiaQ130119228MaRDI QIDQ1753816

Ick Sun Eum

Publication date: 29 May 2018

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.02.005

zbMATH Keywords

Eisenstein seriesmodular formsHecke operatorsFricke involutionrepresentations by quadratic forms

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Forms of half-integer weight; nonholomorphic modular forms (11F37) Hecke-Petersson operators, differential operators (one variable) (11F25)

Cites Work

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• Representations by \(x^2_1 + 2x_2^2 + x_3^2 + x_4^2 + x_1 x_3 + x_1 x_4 + x_2 x_4\)
• The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004
• On modular forms of half integral weight
• On some applications of Eisenstein series
• The representation of integers as sums of squares

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