@article {BaHo62,
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   title        = {A Heuristic Asymptotic Formula Concerning the Distribution
                   of Prime Numbers},
   journal      = {Math. Comp.},
   year         = {1962},
   volume       = {16},
   pages        = {363--367}
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@manual{parigp,
   author       = {K. {Belabas et al.}},
   title        = {PARI/GP},
   address      = {Bordeaux},
   edition      = {2.7.5},
   year         = {2015},
   month        = nov,
   note         = {\url{http://pari.math.u-bordeaux.fr/}}
}

@incollection{Bernstein2008,
  author = {D. J. Bernstein},
  title = {Fast multiplication and its applications},
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  year = {2008},
}

@InProceedings{ChCh88,
  author =        {{D. V.} Chudnovsky and {G. V.} Chudnovsky},
  title =         {Approximations and complex multiplication according to
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  publisher =     {Academic Press},
  year =          1988,
  note =          {Proceedings of the Centenary Conference, University of
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  pages =         {375--472}
}

@book {Cohen00,
   author       = {H. Cohen},
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@book {CoFrAvDoLaNgVe06,
   author       = {H. Cohen and G. Frey and R. Avanzi and
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   publisher    = {Chapman \& Hall/CRC},
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   series       = {Discrete mathematics and its applications}
}

@book {Cox89,
   author       = {D. A. Cox},
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   year         = {1989}
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@book {Dickson23,
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   year         = {1923}
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@article {DoLi80,
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   year       = {1980},
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@article {DoLeSe81,
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@article {Dupont11,
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@article {Enge09cla,
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   journal      = {Math. Comp.},
   year         = {2009},
   volume       = {78},
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   halinria     = {001040},
   origurl      = {http://www.ams.org/mcom/2009-78-266/S0025-5718-08-02200-X/home.html}
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@article {Enge09mod,
   pubtype      = {journal},
   author       = {A. Enge},
   title        = {Computing modular polynomials in quasi-linear time},
   journal      = {Math. Comp.},
   year         = {2009},
   volume       = {78},
   pages        = {1809--1824},
   halinria     = {143084},
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}

@misc {Euler55,
   author       = {L. Euler},
   title        = {Letter to {G}oldbach},
   year         = {1755},
   month        = {23 August},
   note         = {\url {http://eulerarchive.maa.org/correspondence/letters/OO0887.pdf}}
}

@article {Euler58,
   author       = {L. Euler},
   title        = {De numeris, qui sunt aggregata duorum quadratorum},
   journal      = {Novi commentarii academiae scientiarum Petropolitanae},
   volume       = {4},
   year         = {1758},
   pages        = {3--40},
   note         = {English translation at
                   \url {http://eulerarchive.maa.org/pages/E228.html}}
}

@article {Euler60,
   author       = {L. Euler},
   title        = {Demonstratio theorematis Fermatiani omnem numerum primum
                   formae $4n+1$ esse summam duorum quadratorum},
   journal      = {Novi commentarii academiae scientiarum Petropolitanae},
   volume       = {5},
   year         = {1760},
   pages        = {3--58},
   note         = {English translation at
                   \url {http://eulerarchive.maa.org/pages/E241.html}}
}

@article {Euler61,
   author       = {L. Euler},
   title        = {Specimen de usu observationum in mathesi pura},
   journal      = {Novi commentarii academiae scientiarum Petropolitanae},
   volume       = {6},
   year         = {1761},
   pages        = {185--230},
   note         = {\url {http://eulerarchive.maa.org/pages/E241.html}}
}

@manual {cm,
   pubtype      = {software},
   author       = {A. Enge},
   title        = {CM --- Complex multiplication of elliptic curves},
   organization = {INRIA},
   edition      = {0.2.1},
   year         = {2015},
   month        = mar,
   note         = {Distributed under GPL v2+,
                   \url{http://cm.multiprecision.org/}}
}

@article {EnMo14,
   pubtype      = {journal},
   author       = {A. Enge and F. Morain},
   title        = {Generalised {W}eber Functions},
   journal      = {Acta Arith.},
   year         = {2014},
   volume       = {164},
   pages        = {309--341},
   halinria     = {385608},
   arxiv        = {0905.3250},
   origurl      = {http://journals.impan.pl/cgi-bin/doi?aa164-4-1}
}

@article {EnSc04,
   pubtype      = {journal},
   author       = {A. Enge and R. Schertz},
   title        = {Constructing elliptic curves over finite fields using
                   double eta-quotients},
   journal      = {J. Th\'eor. Nombres Bordeaux},
   year         = {2004},
   volume       = {16},
   pages        = {555--568},
   url          = {http://jtnb.cedram.org/jtnb-bin/fitem?id=JTNB_2004__16_3_555_0}
}

@article {EnSc13,
   pubtype      = {journal},
   author       = {A. Enge and R. Schertz},
   title        = {Singular values of multiple eta-quotients for ramified
                   primes},
   journal      = {LMS J. Comput. Math.},
   year         = {2013},
   volume       = {16},
   pages        = {407--418},
   hal          = {768375},
   arxiv        = {1301.5521},
   origurl      = {http://dx.doi.org/10.1112/S146115701300020X}
}

@article {Euler83,
   author       = {L. Euler},
   title        = {Evolutio Producti Infiniti $(1 - x)(1 - xx)(1 - x^3)
                   (1 - x^4)(1 - x^5)(1 - x^6)$ etc. in Seriem Simplicem},
   journal      = {Acta Academiae Scientiarum Imperialis Petropolitanae},
   volume       = {1780},
   year         = {1783},
   pages        = {47--55}
}

@book {Gauss01,
   author       = {C. F. Gau{\ss}},
   title        = {Disquisitiones Arithmeticae},
   publisher    = {Gerh. Fleischer Jun.},
   year         = {1801}
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@book {Grosswald85,
   author       = {E. Grosswald},
   title        = {Representations of Integers as Sums of Squares},
   publisher    = {Springer-Verlag},
   year         = {1985}
}

@manual {mpir,
   pubtype      = {software},
   author       = {W. Hart},
   title        = {MPIR -- Multiple Precision Integers and Rationals},
   edition      = {2.7.2},
   year         = {2015},
   note         = {\url{http://mpir.org/}}
}

@inproceedings {Hirschhorn09,
   author       = {M. D. Hirschhorn},
   title        = {The Number of Representations of a Number by Various Forms
                   Involving Triangles, Squares, Pentagons and Octagons},
   booktitle    = {Ramanujan Rediscovered},
   editor       = {Nayandeep Deka Baruah and Bruce C. Berndt and Shaun Cooper
                   and Tim Huber and Michael Schlosser},
   publisher    = {Ramanujan Mathematical Society},
   address      = {Mysore},
   series       = {RMS Lecture Notes Series},
   volume       = {14},
   year         = {2009},
   pages        = {113--124}
}


@inproceedings{Johansson14,
 author = {F. Johansson},
 title = {Evaluating Parametric Holonomic Sequences Using Rectangular Splitting},
 booktitle = {Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation},
 series = {ISSAC `14},
 year = {2014},
 isbn = {978-1-4503-2501-1},
 location = {Kobe, Japan},
 pages = {256--263},
 numpages = {8},
 url = {http://doi.acm.org/10.1145/2608628.2608629},
 doi = {10.1145/2608628.2608629},
 acmid = {2608629},
 publisher = {ACM},
 address = {New York, NY, USA},
}

@manual {Arb,
   pubtype      = {software},
   author       = {F. Johansson},
   title        = {Arb -- C library for arbitrary-precision ball arithmetic},
   organization = {INRIA},
   edition      = {2.8.1},
   year         = {2015},
   note         = {\url{http://arblib.org/}}
}

@book{Knuth98,
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@book {Legendre97,
   author       = {A. M. {le Gendre}},
   title        = {Essai sur la Th\'eorie des Nombres},
   publisher    = {Duprat},
   year         = {1797},
   note         = {\url {http://gallica.bnf.fr/ark:/12148/btv1b8626880r}}
}

@book {Mumford83,
   author       = {D. Mumford},
   title        = {Tata Lectures on Theta I},
   publisher    = {Birkh\"auser},
   year         = {1983}
}

@book {Mumford84,
   author       = {D. Mumford},
   title        = {Tata Lectures on Theta II --- Jacobian Theta Functions
                   and Differential Equations},
   publisher    = {Birkh\"auser},
   year         = {1984}
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@book {Mumford91,
   author       = {D. Mumford},
   title        = {Tata Lectures on Theta III},
   publisher    = {Birkh\"auser},
   year         = {1991}
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@article{PaSt73,
  author = {M. S. Paterson and L. J. Stockmeyer},
  title = {On the number of nonscalar multiplications necessary to evaluate polynomials},
  journal = {SIAM J. Comput.},
  volume = {2},
  pages = {60--66},
  month = mar,
  year = {1973}
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@article{Rademacher38,
 ISSN = {00029327, 10806377},
 URL = {http://www.jstor.org/stable/2371313},
 author = {H. Rademacher},
 journal = {Amer. J. Math.},
 pages = {501-512},
 publisher = {Johns Hopkins University Press},
 title = {The {F}ourier Coefficients of the Modular Invariant $J(\tau)$},
 volume = {60},
 year = {1938}
}

@article {RoSc62,
   author       = {J. B. Rosser and L. Schoenfeld},
   title        = {Approximate Formulas for Some Functions of Prime Numbers},
   journal      = {Illinois J. Math.},
   year         = {1962},
   volume       = {6},
   pages        = {64--94}
}

@article {Schertz02,
   author       = {R. Schertz},
   title        = {Weber's Class Invariants Revisited},
   journal      = {J. Th\'eor. Nombres Bordeaux},
   volume       = {14},
   year         = {2002},
   pages        = {325--343}
}

@article{Smith1989,
  author = {D. M. Smith},
  title = {Efficient multiple-precision evaluation of elementary functions},
  journal = {Math. Comp.},
  volume = {52},
  year = {1989},
  pages = {131--134},
  url = {http://myweb.lmu.edu/dmsmith/MComp1989.pdf}
}

@book {Weber08,
   author       = {H. Weber},
   title        = {Lehrbuch der {A}lgebra},
   volume       = {3: \textit {Elliptische Funktionen und alge\-brai\-sche
                   Zahlen}},
   edition      = {2nd},
   publisher    = {Vieweg},
   year         = {1908}
}