Li Lai

activity

20192022

collaborators

Showing math.NTShow all

4 papers · 1 filter

math.NT2022

Elementary proofs of Zagier's formula for multiple zeta values and its odd variant

Li Lai, Cezar Lupu, Derek Orr

In this paper, we give elementary proofs of Zagier's formula for multiple zeta values involving Hoffman element and its odd variant due to Murakami. Zagier's formula was a key ingr…

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…

math.NT2019

A note on the number of irrational odd zeta values

Li Lai, Pin Yu

It is proved that, for all odd integer $s ⩾ s_{0} (ε)$ , there are at least $(c_{0} - ε) \frac{s ^{1/2}}{( l o g s ) ^{1/2}}$ many irrational numbers am…

Elementary proofs of Zagier's formula for multiple zeta values and its odd variant

On the largest prime divisor of n!+1

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

A note on the number of irrational odd zeta values

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

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