title Theorem 1.3 (pp. 4-5): Duke's theorem, closed geodesics of positive fundamental discriminant equidistribute on T^1(Y_0(1)) desc Duke's theorem as the paper states it: as d tends to infinity ...

Since you last thought about math, the people who think about math every day have been freaking out. A month ago, when OpenAI announced that one of its powerful internal models had cracked a ...

IBM的新型低溫架構解決了邁向容錯量子運算的一項障礙，但也凸顯配線、控制、互連與可靠度等挑戰。 IBM宣佈，針對支援多個量子處理器的新型低溫架構完成了前兩個模組的連接與冷卻，讓該 ...

Mathematicians love to collect elegant, profound questions that defy proof: the longer the holdout, the better. And one day in June, groups from around the world gathered to do just that. The goal was ...