The Goldbach ConjectureWorld Scientific, 2002 - 329 páginas This book provides a detailed description of a most important unsolved mathematical problem OCo the Goldbach conjecture. Raised in 1742 in a letter from Goldbach to Euler, this conjecture attracted the attention of many mathematical geniuses. Several great achievements were made, but only until the 1920''s. The book gives an exposition of these results and their impact on mathematics, particularly, number theory. It also presents (partly or wholly) selections from important literature, so that readers can get a full picture of the conjecture." |
Índice
I | 3 |
II | 21 |
III | 23 |
IV | 65 |
VI | 69 |
VII | 76 |
VIII | 85 |
IX | 95 |
XVII | 165 |
XVIII | 170 |
XIX | 187 |
XX | 189 |
XXI | 196 |
XXII | 220 |
XXIII | 233 |
XXIV | 244 |
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Términos y frases comunes
A. I. Vinogradov a₁ Acta Math Akad Atle Selberg BOMBIERI Brun C₁ Cayx character mod Chen D₁ denote the number density Dirichlet Dirichlet L-series E₁ estimation function G. H. Hardy Goldbach conjecture Hardy and J. E. Hence inequality interval J. E. Littlewood L-functions L-series Landau large even integer large sieve Lemma Linnik log log log q log² log²x log³x mean value theorem mod q Nauk SSSR number of elements number of prime number of zeros obtain odd number odd prime P₁ Pan Cheng Dong PaPb Partitio numerorum PIP2 positive integer prime divisors prime factors primitive character proof of Theorem proved Pu(x Pw(x representation of large result Riemann hypothesis S₁ satisfying Sbornik Selberg sieve method sieve of Eratosthenes sum of primes three primes theorem Wang Yuan Σ Σ ΣΣ
Pasajes populares
Página 316 - NG DE BRUIJN, On the number of positive integers ^x and free of prime factors >y, Nederl.
Página 319 - II. Proof that every large number is the sum of at most 21 biquadrates, Math. Z. 9 (1921), 14-27. [61] , Some problems of "Partitio Numerorum": IV.
Página 316 - On those numbers in an arithmetic progression all prime factors of which are small in order of magnitude,