The Net Advance of Physics:
NUMBER THEORY
NUMBER THEORY:
General: Archives:
Algebraic Number Theory Preprint Archive;
General: Homepages:
Number Theory Web;
Mathematical Atlas;
General: Textbooks:
Jia 96;
Elementare Zahlentheorie
by Yauheniya Abramchuk et al. [2018/09] Number-theory textbook in German; 151 pp.
General:
Campbell's Glossary;
Kim 2002/10;
Type: COMPUTATIONAL:
Computational Number Theory in Relation with L-Functions
by Henri Cohen [2018/09]
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.
Review on DNA Cryptography
by Mandrita Mondal and Kumar S. Ray [2019/04]
Aspects: CYCLOTOMIC NUMBERS:
Jacobi Sums and Cyclotomic Numbers: A Survey Report
by Md. Helal Ahmed and Jagmohan Tanti [2019/06]
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: INTEGER SEQUENCES:
The On-Line Encyclopedia of Integer Sequences: A fingerprint file for mathematics
by N. J. A. Sloane [2021/05]
Aspects: JACOBI SUMS:
Jacobi Sums and Cyclotomic Numbers: A Survey Report
by Md. Helal Ahmed and Jagmohan Tanti [2019/06]
Aspects: LUCAS'S THEOREM:
Lucas' theorem: its generalizations, extensions and applications (1878--2014)
by Romeo Meštrović [2014/09]
Aspects: MODULAR FORMS:
An Introduction to Modular Forms
by Henri Cohen [2018/09]
Aspects: PRIMES:
The Green-Tao theorem: an exposition
by David Conlon et al. [2014/03] (Prime numbers contain arbitrarily long arithmetic progressions.)
Gaps between Primes
by James Maynard [2019/10]
The work of James Maynard
by K. Soundararajan [2022/07] On prime numbers.
Rhymes in primes
by A. Okounov [2022/07]
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]
Aspects: STIRLING NUMBERS:
Close Encounters with the Stirling Numbers of the Second Kind
by Khristo N. Boyadzhiev [
Mathematics Magazine 85(4)
, 252 (2012)]
Aspects: WEIL SUMS:
Weil sums of binomials: properties and applications
by Daniel J. Katz [2018/05]
Re: COMPLEXITY:
Interactions of Computational Complexity Theory and Mathematics
by Avi Wigderson [2017/10]
Re: L FUNCTIONS:
Computational Number Theory in Relation with L-Functions
by Henri Cohen [2018/09]
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