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Analytic Number Theory Research

Analytic Number Theory Research is a research topic within Algebra and Number Theory. Science Explorer counts 15k research works in it since 1950. 10.2% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on advanced research in prime number theory, L-functions, and their connections to topics such as the Riemann Zeta function, random matrix theory, arithmetic progressions, Vinogradov's mean value theorem, modular forms, and the distribution of primes. It also delves into the exploration of Euler's constant and its implications in number theory.

  • Primes
  • L-Functions
  • Riemann Zeta Function
  • Random Matrix Theory
  • Arithmetic Progressions
  • Vinogradov's Mean Value Theorem
  • Modular Forms
  • Number Theory
  • Distribution of Primes
  • Euler's Constant
Research works
15k
fractional, since 1950
In the world top 10%
1.6k
per year above
Top-10% rate
10.2%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
+19%
the tick is no change
Largest producer
China
26% of the 10 largest, 2022-now
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