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\(g\)-invariant on unary Hermitian lattices over imaginary quadratic fields with class number 2 or 3

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Publication:2693362
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DOI10.1016/j.jalgebra.2022.12.007OpenAlexW4311907065MaRDI QIDQ2693362

Jingbo Liu

Publication date: 20 March 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.10825

zbMATH Keywords

Waring's problemsums of normsunary Hermitian lattices


Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Bilinear and Hermitian forms (11E39) Class numbers of quadratic and Hermitian forms (11E41)




Cites Work

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  • On \(x(ax+1)+y(by+1)+z(cz+1)\) and \(x(ax+b)+y(ay+c)+z(az+d)\)
  • On universal sums of polygonal numbers
  • Introduction to quadratic forms
  • On a Waring's problem for Hermitian lattices
  • Arithmetic of unitary groups
  • Imaginary quadratic fields with class number 2
  • Sums of \(m\)th powers of algebraic integers
  • The fifteen theorem for universal Hermitian lattices over imaginary quadratic fields
  • On Complex Quadratic Fields with Class-Number Two
  • Classes of Definite Hermitian Forms
  • There are 913 regular ternary forms
  • Imaginary quadratic fields with small odd class number
  • On a Waring’s problem for integral quadratic and Hermitian forms
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