@article{Lehmer:1959,
	key = "D. H. Lehmer 1959",
	author = "D. H. Lehmer",
	title = "On the exact number of primes less than a given limit",
	journal = IJM,
	volume = 3,
	year = 1959,
	pages = "381-388"}

@article{Mapes:1963,
	key = "Mapes 1963",
	author = "D. C. Mapes",
	title = "Fast method for computing the number of primes less than a
	given limit",
	journal = MC,
	volume = 17,
	year = 1963,
	pages = "179-183"}

@article{Bohman:1972,
	key = "Bohman 1972",
	author = "J. Bohman",
	title = "On the number of primes less than a given limit",
	journal = BIT,
	volume = 12,
	year = 1972,
	pages = "576-577"}

@inproceedings{Lagarias&Odlyzko:1984,
	key = "Lagarias and Odlyzko 1984",
	author = "J. C. Lagarias and A. M. Odlyzko",
	title = "New algorithms for computing $\pi(x)$",
	booktitle = "Number Theory",
	editor = "{Chudnovsky et al.}, D. V.",
	series = LNIM,
	publisher = SV,
	volume = 1052,
	year = 1984,
	pages = "176-193"}

@article{Lagarias&Miller&Odlyzko:1985,
	key = "Lagarias, Miller, and Odlyzko 1985",
	author = "J. C. Lagarias and V. S. Miller and A. M. Odlyzko",
	title = "Computing $\pi(x)$:  the {Meissel-Lehmer} Method",
	journal = MC,
	volume = 44,
	year = 1985,
	pages = "537-560"}

@article{Lagarias&Odlyzko:1987,
	key = "Lagarias and Odlyzko 1987",
	author = "J. C. Lagarias and A. M. Odlyzko",
	title = "Computing $\pi(x)$: an analytic method",
	journal = JA,
	volume = 8,
	year = 1987,
	pages = "173-191"}

@article{Meissel:1870,
	key = "Meissel 1870",
	author = "E. D. F. Meissel",
	title = {{\"Uber} die {Bestimmung} der {Primzahlenmenge} innerhalb
	gegebener {Grenzen}},
	journal = MA,
	volume = 2,
	year = 1870,
	pages = "636-642"}

@article{Meissel:1871,
	key = "Meissel 1871",
	author = "E. D. F. Meissel",
	title = {{Berechnung} der {Menge} von {Primzahlen}, welche innerhalb der
	ersten {Hundert} {Millionen} nat\"urlicher {Zahlen} vorkommen},
	journal = MA,
	volume = 3,
	year = 1871,
	pages = "523-525"}

@article{Meissel:1883,
	key = "Meissel 1883",
	author = "E. D. F. Meissel",
	title = {{\"Uber} {Primzahlmengen}},
	journal = MA,
	volume = 21,
	year = 1883,
	pages = "304"}

@article{Meissel:1885,
	key = "Meissel 1885",
	author = "E. D. F. Meissel",
	title = {Berechnung der {Menge} von {Primzahlen}, welche innerhalb der
	ersten {Milliarde} nat\"urlicher {Zahlen} vorkommen},
	journal = MA,
	volume = 25,
	year = 1885,
	pages = "251-257"}

@article{Lehman:1960,
	key = "Lehman 1960",
	author = "R. S. Lehman",
	title = "On {Liouville's} function",
	journal = MC,
	year = 1960,
	volume = 14,
	pages = "311-320"}

@article{Shiu:1986,
	key = "Shiu 1986",
	author = "P. Shiu",
	title = "Counting sums of two squares: the {Meissel-Lehmer} method",
	journal = MC,
	volume = 47,
	year = 1986,
	pages = "351-360"}

@article{Shiu:1987,
	key = "Shiu 1987",
	author = "P. Shiu",
	title = "Counting prime numbers on a computer",
	journal = BIMA,
	volume = 23,
	year = 1987,
	pages = "89-92"}

@article{Brun:1931,
	key = "Brun 1931",
	author = "V. Brun",
	title = "Algorithme pour calculer le {$n$i\`eme} nombre premier",
	journal = "Det Kongelige Norske Videnskabers Selskab",
	volume = 4,
	year = 1931,
	pages = "66-69"}

@article{Hudson&Brauer:1977,
	key = "Hudson and Brauer 1977",
	author = "R. H. Hudson and A. Brauer", 
	title = "On the exact number of primes in the arithmetic progressions
$4n \pm 1$ and $6n \pm 1$",
	journal = JFRAM,
	volume = 291,
	year = 1977,
	pages = "23-29"}

@article{DHLehmer:1932c,
	key = "D. H. Lehmer 1932c",
	author = "D. H. Lehmer",
	title = "An inversive algorithm",
	journal = BAMS,
	volume = 38,
	year = "{\noopsort{1932c}}1932",
	pages = "693-694"}

@article{Mondesir:1878,
	key = "Piarron de Mondesir 1878",
	author = "{Piarron de Mondesir}, E. S.",
	title = "Sur les nombres premiers.  {Formules} pour le calcul exact de la
totalit\'e des nombres premiers compris entre 0 et un nombre pair quelconque $2N$",
	journal = AFAS,
	volume = 6,
	year = 1878,
	comment = "{\'Emile} {Sim\'eon} Piarron de Mondesir",
	pages = "79-92"}

@article{Lindgren:1963,
	key = "Lindgren 1963",
	author = "H. Lindgren",
	title = "The calculation of {$\pi(N)$}",
	journal =  JAMSA,
	volume = 3,
	year = 1963,
	pages = "257-266"}

@article{Dress:1993,
	key = "Dress 1993",
	author = "F. Dress",
	title = "Fonction sommatoire de la fonction de M{\"o}bius.
1. {Majorations} exp{\'e}rimentales",
	journal = EXPM,
	volume = 2,
	year = 1993,
	pages = "89-98"}

@article{Dress&ElMarraki:1993,
	key = "Dress and El Marraki 1993",
	author = "F. Dress and {El Marraki}, M.",
	title = "Fonction sommatoire de la fonction de M{\"o}bius.
2. {Majorations} asymptotiques {\'el\'ementaires}",
	journal = EXPM,
	volume = 2,
	year = 1993,
	pages = "99-112"}

@article{Deleglise&Rivat:1996,
	key = "Deleglise and Rivat 1996",
	author = "M. Deleglise and J. Rivat",
	title = "Computing $\pi(x)$:  the {Meissel}, {Lehmer},
{Lagarias}, {Miller}, {Odlyzko} method",
	volume = 65,
	year = 1996,
	pages = "235-245"}

@article{Lambek&Moser:1954,
	key = "Lambek and Moser 1954",
	author = "J. Lambek and L. Moser",
	title = "Inverse and complementary sequences of natural numbers",
	journal = AMM,
	volume = 61,
	year = 1954,
	pages = "454-458"}

@article{Golomb:1976b,
	key = "Golomb 1976b",
	author = "S. W. Golomb",
	title = "The {``sales tax''} theorem",
	journal = MMAG,
	volume = 49,
	year = "{\noopsort{1976b}}1976",
	pages = "187-189"}