scientific article; zbMATH DE number 7773807

zbMATH Open1524.11004MaRDI QIDQ6061152

Anatolii A. Karatsuba

Publication date: 4 December 2023

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zbMATH Keywords

Riemann zeta functionzeroscircle methodDirichlet seriesdistribution of primesGoldbach's problemWaring's problemDirichlet L-functionsVinogradov's methodmethod of complex integrationdistribution of prime numbers in short intervalsnumber of lattice points in planar domainsprime numbers in arithmetic progressions

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Goldbach-type theorems; other additive questions involving primes (11P32) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Lattice points in specified regions (11P21) Primes in congruence classes (11N13) Distribution of primes (11N05) Exponential sums and character sums (11Lxx) Zeta and (L)-functions: analytic theory (11Mxx)

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