Qibin Shen

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20142020

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math.NT2019

Universal $F_{q} -$ Family of $v -$ adic Multiple Zeta Values over Function Fields

Qibin Shen

This paper aims to study the $F_{q} -$ linear relations between interpolated $v -$ adic multiple zeta values over function fields. We proved a universal family of linear relatio…

math.NT2019

Zero Distribution of $v -$ adic Multiple Zeta Values over $F_{q} (t)$

Qibin Shen

This paper aims to study the zero distribution of $v -$ adic multiple zeta values over function fields. We show that the interpolated $v -$ adic MZVs at negative integers only vanish a…

math.NT2014

Function Fields of Class Number One

Qibin Shen, Shuhui Shi

In 1975, [LMQ] listed 7 function felds over fnite felds (up to isomorphism) with positive genus and class number (i.e., the size of the divisor class group of degree zero) one and…

Universal Fq​−Family of v−adic Multiple Zeta Values over Function Fields

Zero Distribution of v−adic Multiple Zeta Values over Fq​(t)

Function Fields of Class Number One

Universal $F_{q} -$ Family of $v -$ adic Multiple Zeta Values over Function Fields

Zero Distribution of $v -$ adic Multiple Zeta Values over $F_{q} (t)$