NUMBER THEORY

NUMBER THEORY:

- General: Archives:
*Algebraic Number Theory Preprint Archive;* - General: Homepages:
*Number Theory Web; Mathematical Atlas;* - General: Textbooks:
*Jia 96;* - General:
*Campbell's Glossary; Kim 2002/10;* - Aspects:
*DIOPHANTINE EQUATIONS; SIEVES; ZETA FUNCTIONS;* - Aspects: ALGEBRAIC NUMBERS:
- Notes on the Theory of Algebraic Numbers by Steve Wright [2015/07] Notes for a second-semester graduate course.

- Aspects: BASEL PROBLEM:
- A One-Sentence and Truly Elementary Proof of the Basel Problem by Samuel G. Moreno [2015/02] with long list of references

- Aspects: CONTINUED FRACTIONS:
- Continued Fractions by Alain Lasjaunias [2017/11]

- Aspects: CRYPTOGRAPHY:
- Mathematical methods in solutions of the problems from the Third International Students' Olympiad in Cryptography by N. Tokareva et al. [2017/10] Including some still-unsolved problems.

- Aspects: GEOMETRY OF NUMBERS:
- Mahler's Work on the Geometry of Numbers by Jan-Hendrik Evertse [2018/06]

- Aspects: GOLDEN RATIO:
- Fibonacci numbers and the golden ratio by Robert Schneider [2016/11]

- Aspects: LUCAS'S THEOREM:
- Lucas' theorem: its generalizations, extensions and applications (1878--2014) by Romeo Meštrović [2014/09]

- Aspects: PRIMES:
- The Green-Tao theorem: an exposition by David Conlon et al. [2014/03] (Prime numbers contain arbitrarily long arithmetic progressions.)

- Aspects: REALS:
- The real numbers -- a survey of constructions by Ittay Weiss [2015/06]

- Aspects: RESIDUES:
- Topics in the Theory of Quadratic Residues by Steve Wright [2014/08]

- Aspects: SALEM NUMBERS:
- Salem numbers: a survey by Chris Smyth [2014/08]

- Re: COMPLEXITY:
- Interactions of Computational Complexity Theory and Mathematics by Avi Wigderson [2017/10]