title: Large Language Models for Mathematicians
summary: Large language models (LLMs) such as ChatGPT have received immense interest
  for their general-purpose language understanding and, in particular, their
  ability to generate high-quality text or computer code. For many professions,
  LLMs represent an invaluable tool that can speed up and improve the quality of
  work. In this note, we discuss to what extent they can aid professional
  mathematicians. We first provide a mathematical description of the transformer
  model used in all modern language models. Based on recent studies, we then
  outline best practices and potential issues and report on the mathematical
  abilities of language models. Finally, we shed light on the potential of LMMs
  to change how mathematicians work.
paper_authors._id: 65727acfa63ffd289bb7aad7
paper_authors.name: Simon Frieder
paper_authors.status: admin_assigned
paper_authors.statusLastChangedAt: 2023-12-08T11:17:59.846Z
paper_authors._id: 647dd3c4770c299e56f7f7c4
paper_authors.avatarUrl: https://cdn-avatars.huggingface.co/v1/production/uploads/647dd3c4770c299e56f7f7c4/0UJXn0qNV3WJn2E95sG24.jpeg
paper_authors.fullname: Simon Frieder
paper_authors.type: user
paper_authors.user: friederrr
paper_authors._id: 65727acfa63ffd289bb7aad8
paper_authors.name: Julius Berner
paper_authors.status: admin_assigned
paper_authors.statusLastChangedAt: 2023-12-08T11:18:23.824Z
paper_authors._id: 6372a4f92e1ff3e884649129
paper_authors.avatarUrl: /avatars/f6dc6c6893d879432bf249172c01b30c.svg
paper_authors.fullname: Julius Berner
paper_authors.type: user
paper_authors.user: jberner
paper_authors._id: 65727acfa63ffd289bb7aad9
paper_authors.name: Philipp Petersen
paper_authors._id: 65727acfa63ffd289bb7aada
paper_authors.name: Thomas Lukasiewicz
paper_title: Large Language Models for Mathematicians
paper_summary: Large language models (LLMs) such as ChatGPT have received immense interest
  for their general-purpose language understanding and, in particular, their
  ability to generate high-quality text or computer code. For many professions,
  LLMs represent an invaluable tool that can speed up and improve the quality of
  work. In this note, we discuss to what extent they can aid professional
  mathematicians. We first provide a mathematical description of the transformer
  model used in all modern language models. Based on recent studies, we then
  outline best practices and potential issues and report on the mathematical
  abilities of language models. Finally, we shed light on the potential of LMMs
  to change how mathematicians work.
paper_ai_summary: Transformers enable large language models to perform mathematical tasks, offering both assistance and challenges for professional mathematicians.
paper_ai_keywords: transformer model large language models LLMs professional mathematicians mathematical abilities