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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