Fourier transforms and the P.N.T. error term

Andrew Grant

Časopis pro pěstování matematiky (1987)

  • Volume: 112, Issue: 4, page 337-347
  • ISSN: 0528-2195

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Grant, Andrew. "Fourier transforms and the P.N.T. error term." Časopis pro pěstování matematiky 112.4 (1987): 337-347. <http://eudml.org/doc/19389>.

@article{Grant1987,
author = {Grant, Andrew},
journal = {Časopis pro pěstování matematiky},
keywords = {Riemann zeta-function; prime number theorem; error term; Fourier transform},
language = {eng},
number = {4},
pages = {337-347},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Fourier transforms and the P.N.T. error term},
url = {http://eudml.org/doc/19389},
volume = {112},
year = {1987},
}

TY - JOUR
AU - Grant, Andrew
TI - Fourier transforms and the P.N.T. error term
JO - Časopis pro pěstování matematiky
PY - 1987
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 112
IS - 4
SP - 337
EP - 347
LA - eng
KW - Riemann zeta-function; prime number theorem; error term; Fourier transform
UR - http://eudml.org/doc/19389
ER -

References

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  1. G. Andrews, The theoгy of partitions, (Vol 2 of encyclopaedia of mathematics & its applications). Addison-Wesley 1976. (1976) MR0557013
  2. J. Čížek, On the proof of the pгime numbeг theoгem, Časopis pěst. mat. 106 (1981), 395-401. (1981) 
  3. A. E. Ingham, The distribution of prime numbeгs, Cambridge University Press 1932. (1932) MR1074573
  4. S. Mandeibrojt, Séries de Fourier et classes quasi-analytiques de fonctions, Gauthier-Villars, Paris 1935. (1935) 
  5. W. Rudin, Real and complex analysis, 2nd edn, McGгaw-Hill, New York 1966. (1966) MR0210528
  6. M. R. Spiegel, Theoгy and pгoblems of calculus of finite diffeгences and difference equations, McGraw-Hill 1971. (1971) 
  7. A. Walfisz, Weylsche Exponentialsummen in der Neueгen Zahlentheorie, VEB Deutsche Veгlag der Wissenschaften, Berlin 1963. (1963) MR0220685

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