Number Theory · Quadratic Forms
Department of Mathematics, Dongguan University of Technology
Research interests: number theory, with particular interests in quadratic forms.
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Education
The University of Hong Kong
South China Normal University
Guangzhou College of South China University of Technology
Employment
Dongguan University of Technology
Dongguan University of Technology
Southern University of Science and Technology
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Z. He, “Local information of ADC quadratic lattices over algebraic number fields,” arXiv:2601.05585 (2026).
arXiv ↗Z. He and Z. Yang, “Local densities of quadratic polynomials over non-dyadic fields and unramified dyadic fields,” arXiv:2407.09076v2 (2024).
arXiv ↗Z. He, “Arithmetic Springer theorem and n-universality under field extensions,” arXiv:2312.09560v4 (2023).
arXiv ↗K. Bringmann, Z. He, and B. Kane, “The mass of shifted lattices and class numbers of inhomogeneous quadratic polynomials,” arXiv:2305.17909 (2023).
arXiv ↗Z. He, “On n-ADC integral quadratic lattices over totally real number fields,” Documenta Mathematica 30 (2025), 981–1022.
DOI ↗Z. He and Y. Hu, “Pythagoras number of quartic orders containing √2,” Chinese Annals of Mathematics, Series A 45(3) (2024), 235–242.
DOI ↗Z. He, “On classic n-universal quadratic forms over dyadic local fields,” Manuscripta Mathematica 174 (2024), 559–595.
DOI ↗Z. He and Y. Hu, “On n-universal quadratic forms over dyadic local fields,” Science China Mathematics 67 (2024), 1481–1506.
DOI ↗Z. He, Y. Hu, and F. Xu, “On indefinite k-universal integral quadratic forms over number fields,” Mathematische Zeitschrift 304 (2023), Paper 20.
DOI ↗Z. He and Y. Hu, “On k-universal quadratic lattices over unramified dyadic local fields,” Journal of Pure and Applied Algebra 227(7) (2023), 107334.
DOI ↗Z. He and B. Kane, “Sign changes of Fourier coefficients of cusp forms of half-integral weight over split and inert primes in quadratic number fields,” Research in Number Theory 7 (2021), Paper 10.
DOI ↗Z. He and B. Kane, “Regular ternary polygonal forms,” The Ramanujan Journal 55 (2021), 1039–1062.
DOI ↗Z. He, “Inequalities for inert primes and their applications,” International Journal of Number Theory 16 (2020), 1819–1832.
DOI ↗P. Yuan, Z. He, and L. You, “Further results and some open problems on the primitive degree of nonnegative tensors,” Linear Algebra and its Applications 480 (2015), 72–92.
DOI ↗Z. He, P. Yuan, and L. You, “On the exponent set of nonnegative primitive tensors,” Linear Algebra and its Applications 465 (2015), 376–390.
DOI ↗P. Yuan, Z. He, and L. You, “A conjecture on the primitive degree of tensors,” Linear Algebra and its Applications 450 (2014), 175–185.
DOI ↗03
Referee or reviewer for the following journals and services:
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Source repositories for Mathematica computations and Lean formalization related to quadratic lattices and BONG theory.