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Analytical research on the theory of prime numbers. (Recherches analytiques sur la théorie des nombres premiers.) (French) JFM 27.0155.03
Brux. S. sc. 21 B, 183-256, 281-362, 363-397 (1896).

MSC:
11M06 \(\zeta (s)\) and \(L(s, \chi)\)
11M20 Real zeros of \(L(s, \chi)\); results on \(L(1, \chi)\)
11M26 Nonreal zeros of \(\zeta (s)\) and \(L(s, \chi)\); Riemann and other hypotheses
11N05 Distribution of primes
11N13 Primes in congruence classes
11N32 Primes represented by polynomials; other multiplicative structures of polynomial values