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JOURNALS // Algebra i Analiz // Archive
Algebra i Analiz, 2023 Volume 35, Issue 4, Pages 183–193 (Mi aa1878)
Research Papers

On the set of values of a ternary quadratic form

N. D. Filonovab

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
b Saint Petersburg State University

Abstract: It is shown that the set of values of an integer positive definite quadratic form in three variables contains an infinite arithmetic progression.

Keywords: ternary quadratic form, value distribution.

Received: 17.05.2022


© Steklov Math. Inst. of RAS, 2024