DeepMind’s AlphaEvolve helps solve a math puzzle with Terence Tao, showing how AI can now invent new ideas—and prove old ones ...

哥廷根学派的终极启示在于：真正的数学进步，不仅是新定理的发现，更是新思维方式的创造。他们教会后世：用结构的眼光看世界，用公理的方法思考问题，在不同领域间建立深刻联系。

Rei is an Editor for GameRant's Evergreen and Features teams from Kashmir, situated in Beirut. He's an avid fan of anime, manga, and gaming. He is the author of some of the articles here that you ...

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From basic algorithms like Sieve, Bitwise-sieve, Segmnted-sieve, Modular Arithmetic, Big Mod to Primality test, CRT etc. all other advance number theory algorithms.

Abstract: The Montgomery multiplication is an efficient method for modular arithmetic. Typically, it is used for modular arithmetic over integer rings to prevent the expensive inversion for the modulo ...

Abstract: The paper deals with efficient modular arithmetic algorithms for resource restricted devices like smart-cards or sensors. The modular arithmetic is important for a wide variety of ...

We describe generalizations of the Pauli group, the Clifford group, and stabilizer states for qudits in a Hilbert space of arbitrary dimension d. We examine a link with modular arithmetic, which ...