Zobrazeno 1 - 10
of 81
pro vyhledávání: '"Zhai, Shuai"'
Let $f$ be a positive definite integral quadratic form in $d$ variables. In the present paper, we establish a direct link between the genus representation number of $f$ and the order of higher even $K$-groups of the ring of integers of real quadratic
Externí odkaz:
http://arxiv.org/abs/2312.08269
Autor:
Gao, Xin, Qiu, Liping, Fang, Longxiang, Liu, Zhuping, Meng, Shunlong, Chen, Jiazhang, Huang, Xiaofeng, Zhai, Shuai, Sun, Bo, Song, Chao
Publikováno v:
In Process Safety and Environmental Protection September 2024 189:313-321
Autor:
Shu, Jie, Zhai, Shuai
In the present paper, we generalize the celebrated classical lemma of Birch and Heegner on quadratic twists of elliptic curves over $\mathbb{Q}$. We prove the existence of explicit infinite families of quadratic twists with analytic ranks $0$ and $1$
Externí odkaz:
http://arxiv.org/abs/2102.11808
Autor:
Zhai, Shuai
In the present short paper, we obtain a general lower bound for the $2$-adic valuation of the algebraic part of the central value of the complex $L$-series for the quadratic twists of any elliptic curve $E$ over $\mathbb{Q}$. We also prove the existe
Externí odkaz:
http://arxiv.org/abs/2102.11798
Autor:
Zhang, Xueying, Zhai, Chunxue, Zhai, Shuai, Zhang, Ruiyin, Zhao, Lili, Huang, Ningning, Chen, Bingqian
Publikováno v:
In Materials Today Chemistry October 2023 33
Publikováno v:
In Materials Chemistry and Physics 1 March 2023 297
Publikováno v:
In Catalysis Communications November 2022 171
Publikováno v:
In International Journal of Refractory Metals and Hard Materials November 2022 108
Publikováno v:
In Powder Technology June 2022 405
In the present paper, we prove, for a large class of elliptic curves defined over $\mathbb{Q}$, the existence of an explicit infinite family of quadratic twists with analytic rank $0$. In addition, we establish the $2$-part of the conjecture of Birch
Externí odkaz:
http://arxiv.org/abs/1712.01271