scientific article; zbMATH DE number 3513865

zbMath0328.10001MaRDI QIDQ4093511

Georg Johann Rieger

Publication date: 1976

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

sums of squarescongruencesprime number theoremRiemann zeta-functioncontinued fractionsdiophantine approximationPell equationp-adic numberssieve methodsreciprocity theoremWaring's problemmean valuesLagrange's theoremBrun-Titchmarsh theoremFarey fractionsalgebraic numbersDirichlet's theoremDirichlet's approximation theoremquadratic residuesSelberg sieveMertens' theoremFord circlesprime factorizationDirichlet L-seriesprimes in arithmetic progressiontranscendental numberssquarefree kernelnumber-theoretic functionsShnirelman densityBrun's twin prime theoremsChebyshev's theorem on the order of pi(x)elementary prime number distributionErdős' theorems on Liouville numbersHurwitz's approximation theoremLinnik's solutionprime number theorem for prime residue classesprimes inb prime residue classesproof of the prime number theorem

Mathematics Subject Classification ID

Waring's problem and variants (11P05) (zeta (s)) and (L(s, chi)) (11M06) Primes in congruence classes (11N13) Distribution of primes (11N05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01) Sieves (11N35) Diophantine approximation, transcendental number theory (11Jxx) Elementary number theory (11Axx) Additive number theory; partitions (11Pxx) Zeta and (L)-functions: analytic theory (11Mxx)

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