About a theorem of Paolo Codecà's and omega estimates for arithmetical convolutions. Second part

Y.-F. S. Pétermann

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1990)

  • Volume: 17, Issue: 3, page 343-353
  • ISSN: 0391-173X

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Pétermann, Y.-F. S.. "About a theorem of Paolo Codecà's and omega estimates for arithmetical convolutions. Second part." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 17.3 (1990): 343-353. <http://eudml.org/doc/84077>.

@article{Pétermann1990,
author = {Pétermann, Y.-F. S.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {sum of divisor function; Chowla-Walum functions; Omega-estimates; convolution; asymptotic formula; arithmetic progression; Bernoulli polynomials; trigonometric functions; Hardy-Littlewood error terms},
language = {eng},
number = {3},
pages = {343-353},
publisher = {Scuola normale superiore},
title = {About a theorem of Paolo Codecà's and omega estimates for arithmetical convolutions. Second part},
url = {http://eudml.org/doc/84077},
volume = {17},
year = {1990},
}

TY - JOUR
AU - Pétermann, Y.-F. S.
TI - About a theorem of Paolo Codecà's and omega estimates for arithmetical convolutions. Second part
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1990
PB - Scuola normale superiore
VL - 17
IS - 3
SP - 343
EP - 353
LA - eng
KW - sum of divisor function; Chowla-Walum functions; Omega-estimates; convolution; asymptotic formula; arithmetic progression; Bernoulli polynomials; trigonometric functions; Hardy-Littlewood error terms
UR - http://eudml.org/doc/84077
ER -

References

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  1. [1] C. Codecà, On the properties of oscillations and almost periodicity of certain convolutions, Rend. Sem. Mat. Univ. Padova71 (1984), 103-119. Zbl0552.10029
  2. [2] S. Chowla - H. Walum, On the divisor problem, Norske Vid. Selsk. Forh.36 (1963), 127-134. Zbl0135.10703
  3. [3] J.L. Hafner, On the average order of a class of arithmetical functions, J. Number Theory15 (1982), 36-76. Zbl0495.10027
  4. [4] G.H. Hardy - J.E. Littlewood, Notes on the theory of series (XX): on Lambert series, Proc. London Math. Soc.41 (1936), 257-270. Zbl0014.30301JFM62.0222.02
  5. [5] S. Kanemitsu, Omega theorems for divisor functions, Tokyo J. Math.7 (1984), 399-419. Zbl0556.10031
  6. [6] S. Kanemitsu - R.S.R.C. RAO, On a conjecture of S. Chowla and of S. Chowla and H. Walum I, II, J. Number Theory20 (1985) 255-261, 103-120. Zbl0467.10032
  7. [7] R.A. Macleod, An extremal result for divisor functions, J. Number Theory23 (1986), 365-366. Zbl0591.10036
  8. [8] Y.-F.S. Pétermann, About a theorem of Paolo Codecà's and Ω-estimates for arithmetical convolutions, J. Number Theory30 (1988), 71-85; Addendum, to appear: J. Number Theory. Zbl0649.10034
  9. [9] Y.-F.S. Pétermann, Divisor problems and exponent pairs, Arch. Math.50 (1988), 243-250. Zbl0619.10034
  10. [10] Y.-F.S. Pétermann, Divisor problems and exponent pairs: on a conjecture by Chowla and Walum, Proc. Conf. Prospects Math. Sci. Tokyo 1986, World Sci. Publ., Singapore1988, 211-230. Zbl0685.10031
  11. [11] Y.-F.S. Pétermann, Omega theorems for divisor functions, to appear: Indian J. Math. Zbl0819.11037
  12. [12] Y.-F.S. Pétermann, An Ω-theorem for an error term related to the sum-of-divisors function, Mh. Math.103 (1987), 145-157; Addendum, Mh. Math.105 (1988), 193-194. Zbl0606.10035
  13. [13] H. Rademacher, Topics in analytic number theory, Springer-Verlag, Berlin1973. Zbl0253.10002
  14. [14] R.S.R.C. Rao, On an error term of Landau II, Rocky Mountain J. Math.15 (1985), 579-588. Zbl0584.10027

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