Department of Mathematics and Statistics

Number Theory

Number Theory Resources

Internet

Regional Conferences

  • Palmetto Number Theory Series (PANTS): The Palmetto Number Theory Series (PANTS) is a series of number theory meetings held at colleges and universities in the Southeast since 2006. The goal of the PANTS meetings is to provide an opportunity for number theorists in South Carolina, and more generally, in the Southeast, to hear about recent research in all areas of number theory, pure and applied.
  • SouthEast Regional Meeting On Numbers (SERMON): SERMON is a small, friendly and informal gathering of number theorists and combinatorialists. Started in 1988 by Theresa Vaughan, it has grown into an annual two-day conference that meets an various universties in the southeast.

Software

  • KASH/KANT: KANT is a library for algebraic number theory. It contains functions for sophisticated computations in algebraic number theory. KASH is a computer algebra system that combines the KANT library and the GAP 3 shell.
  • Magma: Magma is a large, well-supported software package designed for computations in algebra, number theory, algebraic geometry and algebraic combinatorics. It provides a mathematically rigorous environment for defining and working with structures such as groups, rings, fields, modules, algebras, schemes, curves, graphs, designs, codes and many others.
  • PARI/GP: PARI/GP is a widely used computer algebra system designed for fast computations in number theory (factorizations, algebraic number theory, elliptic curves...), but also contains a large number of other useful functions to compute with mathematical entities such as matrices, polynomials, power series, algebraic numbers etc., and a lot of transcendental functions.
  • Sage: Sage is a free open-source mathematics software system licensed under the GPL. It combines the power of many existing open-source packages into a common Python-based interface.

Literature

  • MathSciNet: MathSciNet is an electronic publication offering access to a carefully maintained and easily searchable database of reviews, abstracts and bibliographic information for much of the mathematical sciences literature.
  • Project Euclid: Project Euclid's mission is to advance scholarly communication in the field of theoretical and applied mathematics and statistics. Project Euclid is designed to address the unique needs of low-cost independent and society journals.
  • JSTOR: JSTOR is a digital library of more than 1,500 academic journals, books, and primary sources.
  • Springer Link: Graduate Texts in Mathematics
  • Center for Retrospective Digitization (GDZ): The task of the GDZ is to record data such as prints, manuscripts and illustrations and to present them. Scientists, teachers and students will find a large amount of scholarly relevant texts in digitized form.
  • arXiv.org: Open access to e-prints in Physics, Mathematics, Computer Science, Quantitative Biology, Quantitative Finance and Statistics.