Adventures in arithmetick, or: How to made good use of a Fourier transform

DOI10.1007/BF03025900zbMath0621.10002OpenAlexW2005964054MaRDI QIDQ1090356

Robert C. Vaughan

Publication date: 1987

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03025900

zbMATH Keywords

perfect numbersGoldbach's conjectureRiemann zeta- functionfamous problems

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) (zeta (s)) and (L(s, chi)) (11M06) Arithmetic functions; related numbers; inversion formulas (11A25) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01) Power residues, reciprocity (11A15)

Cites Work

• Théorème de Brun-Titchmarsh; application au théorème de Fermat
• On the Location of Gauss Sums
• On the growth of the cyclotomic polynomial in the interval (0, 1)
• Prime Numbers in Short Intervals and a Generalized Vaughan Identity
• The exceptional set of Goldbach's problem
• On Goldbach's Problem : Proof that Almost all Even Positive Integers are Sums of Two Primes
• Note on the coefficients of the cyclotomic polynomial
• The first case of Fermat's last theorem
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