A common combinatorial principle underlies Riemann's formula, the Chebyshev phenomenon, and other subtle effects in comparative prime number theory. I.
Journal für die reine und angewandte Mathematik, Tome 313 (1980), pp. 133-150.

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Mots-clés : comparative prime number theory, Meissel formula, cubic residue effect, arithmetic progressions, quasiprime number theory
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     author = {Richard H. Hudson},
     title = {A common combinatorial principle underlies {Riemann's} formula, the {Chebyshev} phenomenon, and other subtle effects in comparative prime number theory. {I.}},
     journal = {Journal f\"ur die reine und angewandte Mathematik},
     pages = {133--150},
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Richard H. Hudson. A common combinatorial principle underlies Riemann's formula, the Chebyshev phenomenon, and other subtle effects in comparative prime number theory. I.. Journal für die reine und angewandte Mathematik, Tome 313 (1980), pp. 133-150. http://geodesic.mathdoc.fr/item/JRAM_1980__313_152198/