Number Theory

Number theory is the branch of mathematics concerned with the properties of integers and the relationships between their additive and multiplicative structures.

30.7K

Publications

1.2M

Citations

29.5K

Authors

4.8K

Institutions

Publications per year

2017–2026

3.4K

Parents

Mathematics

Children

Additive Number TheoryAlgebraic Number TheoryAnalytic Number TheoryArithmetic FunctionsArithmetic GeometryAutomorphic FormsChinese Remainder TheoremClass Field TheoryComputational Number TheoryContinued Fractions

Publications

30.7K

On Computable Numbers, with an Application to the Entscheidungsproblem

Alan Turing · Proceedings of the London Mathematical Society · 1937 · 8.1K citations

Computing, Computer Science, Mathematics +10

An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford)

T. A. A. B. · The Mathematical Gazette · 1946 · 7.4K citations

Natural Sciences, Mathematics, Number Theory +3

Topological Vector Spaces.

M. S. Ramanujan, Helmut Schaefer · American Mathematical Monthly · 1967 · 4K citations

Natural Sciences, Mathematics, Geometry +7

An introduction to the theory of numbers

Journal of the Franklin Institute · 1960 · 3.7K citations

Natural Sciences, Mathematics, Algebra +8

Algorithm 368: Numerical inversion of Laplace transforms [D5]

Harald Stehfest · Communications of the ACM · 1970 · 3.6K citations · Full text

Natural Sciences, Computer Science, Mathematics +10

1–5 of 30.7K

Authors

29.5K

HM
H. M. Srivastava
University of Victoria, Canada
140 publications · 5.3K citations
40
h-index
GE
George E. Andrews
Pennsylvania State University, United States
70 publications · 3.4K citations
34
h-index
YC
Yu‐Ming Chu
Huzhou University, China
67 publications · 3.1K citations
34
h-index
DR
D. R. Heath‐Brown
Northeast Catholic College, United States
57 publications · 3.2K citations
32
h-index
TT
Terence Tao
University of California, Los Angeles, United States
56 publications · 4.4K citations
31
h-index

1–5 of 29.5K

Institutions

4.8K

1–8 of 4.8K

Venues

Annals of Mathematics
459 publications · 48.4K citations
119
h-index
Transactions of the American Mathematical Society
TRAN · 959 publications · 38.8K citations
87
h-index
American Mathematical Monthly
498 publications · 31K citations
71
h-index
Duke Mathematical Journal
DMJ · 379 publications · 19.1K citations
70
h-index
Inventiones mathematicae
183 publications · 14.1K citations
70
h-index

1–5

See also Number Theory
Core Problems	Modular Arithmetic Bsd Conjecture
Core Methods	Primality Testing Integer Factorization Algebraic Number Theory Analytic Number Theory Complex Analysis Sieve Methods Commutative Algebra
Subfields	Analytic Number Theory Algebraic Number Theory Computational Number Theory
Applications	Public-key Cryptography Rsa Cryptosystem Elliptic Curve Cryptography Diffie-hellman Key Exchange Digital Signatures Public-key Infrastructure Hypertext Transfer Protocol Secure Sea Surface Height Online Banking Operations E-commerce Systems Elgamal Encryption Post-quantum Cryptography
Historical Development	Modular Arithmetic Analytic Number Theory Diophantine Equations