Li Lai

activity

20192026

most citedA note on the number of irrational odd zeta values

9 citations · 14 across the 10 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

math.NT2021

On the largest prime divisor of $n! + 1$

Li Lai

For an integer $m > 1$ , we denote by $P (m)$ the largest prime divisor of $m$ . We prove that $lim sup_{n \to + \infty} P (n! + 1) / n ⩾ 1 + 9 lo g 2 > 7.238$ , which improves a r…

math.NT2021

At least two of $ζ (5), ζ (7), \dots, ζ (35)$ are irrational

Li Lai, Li Zhou

Let $ζ (s)$ be the Riemann zeta function. We prove the statement in the title, which improves a recent result of Rivoal and Zudilin by lowering $69$ to $35$ . We also prove that at l…

On the largest prime divisor of n!+1

At least two of ζ(5),ζ(7),…,ζ(35) are irrational

On the largest prime divisor of $n! + 1$

At least two of $ζ (5), ζ (7), \dots, ζ (35)$ are irrational