DISCRIMINANT BOUNDS FOR SPINOR REGULAR TERNARY QUADRATIC LATTICES

WAI KIU CHAN; A. G. EARNEST

doi:10.1112/S002461070400523X

Abstract

The main goals of the paper are to establish a priori bounds for the prime power divisors of the discriminants of spinor regular positive definite primitive integral ternary quadratic lattices, and to describe a procedure for determining all such lattices.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Chan, Wai Kiu and Daniels, Joshua 2005. Definite regular quadratic forms over 𝔽_{𝕢}[𝕋]. Proceedings of the American Mathematical Society, Vol. 133, Issue. 11, p. 3121.

Chan, Wai Kiu and Rokicki, Anna 2007. Positive definite binary hermitian forms with finitely many exceptions. Journal of Number Theory, Vol. 124, Issue. 1, p. 167.

CHAN, WAI KIU EARNEST, A. G. ICAZA, MARIA INES and KIM, JI YOUNG 2007. FINITENESS RESULTS FOR REGULAR DEFINITE TERNARY QUADRATIC FORMS OVER ${\mathbb Q}(\sqrt{5})$. International Journal of Number Theory, Vol. 03, Issue. 04, p. 541.

Oh, Byeong-Kweon 2007. Positive definite n-regular quadratic forms. Inventiones mathematicae, Vol. 170, Issue. 2, p. 421.

Berkovich, Alexander and Jagy, William C. 2012. On representation of an integer as the sum of three squares and ternary quadratic forms with the discriminants p2, 16p2. Journal of Number Theory, Vol. 132, Issue. 1, p. 258.

Chan, Wai Kiu and Oh, Byeong-Kweon 2014. Class numbers of ternary quadratic forms. Journal of Number Theory, Vol. 135, Issue. , p. 221.

Earnest, A.G. Kim, Ji Young and Meyer, N.D. 2014. Strictly regular quaternary quadratic forms and lattices. Journal of Number Theory, Vol. 144, Issue. , p. 256.

Chan, Wai Kiu and Ricci, James 2015. The representation of integers by positive ternary quadratic polynomials. Journal of Number Theory, Vol. 156, Issue. , p. 75.

Berkovich, Alexander 2015. On the Gauss E ϒPHKA theorem and some allied inequalities. Journal of Number Theory, Vol. 148, Issue. , p. 1.

Ju, Jangwon and Oh, Byeong-Kweon 2017. Genus-correspondences respecting spinor genus. Journal of Number Theory, Vol. 180, Issue. , p. 219.

Chan, Wai Kiu and Marino, Alicia 2018. A finiteness theorem for positive definite strictly n-regular quadratic forms. Research in Number Theory, Vol. 4, Issue. 2,

Ju, Jangwon Kim, Kyoungmin and Oh, Byeong-Kweon 2018. Spinor representations of positive definite ternary quadratic forms. International Journal of Number Theory, Vol. 14, Issue. 02, p. 581.

Earnest, A. G. and Haensch, Anna 2019. COMPLETENESS OF THE LIST OF SPINOR REGULAR TERNARY QUADRATIC FORMS. Mathematika, Vol. 65, Issue. 2, p. 213.

He, Zilong and Kane, Ben 2021. Regular ternary polygonal forms. The Ramanujan Journal, Vol. 55, Issue. 3, p. 1039.

Kane, Ben Kim, Daejun and Varadharajan, Srimathi 2022. Explicit class number formulas for Siegel–Weil averages of ternary quadratic forms. Transactions of the American Mathematical Society, Vol. 376, Issue. 3, p. 1625.

Article contents

DISCRIMINANT BOUNDS FOR SPINOR REGULAR TERNARY QUADRATIC LATTICES

Abstract

Keywords

Access options

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

DISCRIMINANT BOUNDS FOR SPINOR REGULAR TERNARY QUADRATIC LATTICES

Abstract

Keywords

Access options

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests