B. He

activity

20142026

most citedOn Diophantine quintuple Conjecture

9 citations · 11 across the 3 of their papers we have counts for

collaborators

4 papers

math.NT2026

The Strong 24-Conjecture

Bo He

Restricted forms of Lagrange's four-square theorem, in which the representing variables are required to satisfy additional arithmetic conditions, have been studied from several poi…

math.NT2016★ 2 cited

There is no Diophantine quintuple

Bo He, Alain Togbè, Volker Ziegler

A set of $m$ positive integers ${a_{1}, a_{2}, \dots, a_{m}}$ is called a Diophantine $m$ -tuple if $a_{i} a_{j} + 1$ is a perfect square for all $1 \leq i < j \leq m$ . In 2004 Dujella prove…

math.NT2015

Another generalization of a theorem of Baker and Davenport

Bo He, Ákos Pintér, Alain Togbe +1

Dujella and Pethő, generalizing a result of Baker and Davenport, proved that the set ${1, 3}$ cannot be extended to a Diophantine quintuple. As a consequence of our main result,…

math.NT2014★ 9 cited

On Diophantine quintuple Conjecture

Wenquan Wu, Bo He

In this note, we prove that if ${a, b, c, d, e}$ with $a < b < c < d < e$ is a Diophantine quintuple, then $d < 1 0^{76}$ .