Meanings
- uncountablemathematicsA branch of number theory that uses methods from mathematical analysis to solve problems about the integers.
2002, Chaohua Jia, Kohji Matsumoto (editors), Analytic Number Theory, Kluwer Academic, page ix, Talks covered various research fields including analytic number theory, algebraic number theory, modular forms and transcendental number theory.
2 more examples
1987, F. X. Gallagher, Applications of Guinand's Formula, A.C. Adolphson, A. Ghosh, J.B. Conrey, R.I. Yager (editors), Analytic Number Theory and Diophantine Problems: Proceedings of a Conference, Birkhäuser, page 135, According to Weil [22], analytic number theory, which deals with inequalities and asymptotic formulas, is not number theory but analysis.
Computational number theory, however, studies problems from elementary, algebraic geometric and analytic number theory which require the help of fast computers (particularly vector and parallel systems) and fast algorithms (particularly deterministic polynomial-time algorithms).
2002, Song Y. Yan, Number Theory for Computing, 2nd edition, Springer, page 174
Translations
Finnish analyyttinen lukuteoria
- analyyttinen lukuteoriabranch of number theory
German analytische Zahlentheorie
- analytische Zahlentheoriebranch of number theory
Italian teoria analitica dei numeri
- teoria analitica dei numeribranch of number theory
Polish analityczna teoria liczb
- analityczna teoria liczbbranch of number theory
Cite this entry
analytic number theory. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/analytic%20number%20theory
“analytic number theory.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/analytic%20number%20theory. Accessed November 5, 2026.
WatkinsX Dictionary, s.v. “analytic number theory,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/analytic%20number%20theory.
Source: analytic number theory on Wiktionary, CC BY-SA 4.0.