This is where Emmy Noether, a groundbreaking German mathematician, comes into the picture. She found a breathtakingly simple ...

THIS interesting “Cambridge Tract” is concerned mainly with the behaviour, for large values of x, of the function n(x), which denotes the number of primes not exceeding x. The first chapter gives some ...

In today's rapidly advancing world of science and technology, artificial intelligence (AI) is transforming our understanding and practices in many fields at an astonishing pace. Recently, an AI ...

⚠️ Note: The figure generation scripts are currently being consolidated from multiple Jupyter notebooks. Python .py versions will be added progressively for reproducibility. 🗓️ This research was ...

Diophantus, who likely inherited foundational ideas from Thymaridas of Paros, laid fundamental work for algebra by exploring solutions to linear equations that later influenced modern mathematics.

William Ross does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond their ...

Formal theorem proving has emerged as a critical benchmark for assessing the reasoning capabilities of large language models (LLMs), with significant implications for mathematical automation. While ...

A basic feature of number theory, prime numbers are also a fundamental building block of computer science, from hashtables to cryptography. Everyone knows that a prime number is one that cannot be ...

On this page you will find the listing of graduate course descriptions (selected). See course listings for current semester, here. UB Registrar: Register for classes. Course information is subject to ...

The Millennium Prize Problems, announced in 2000 by the Clay Mathematics Institute in the United States, are problems with a prize of $1 million (approximately 160 million yen). One of these problems ...