On a method of Balasubramanian and Ramachandra (on the abelian group problem)

A. Sankaranarayanan; K. Srinivas

Rendiconti del Seminario Matematico della Università di Padova (1997)

  • Volume: 97, page 135-161
  • ISSN: 0041-8994

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Sankaranarayanan, A., and Srinivas, K.. "On a method of Balasubramanian and Ramachandra (on the abelian group problem)." Rendiconti del Seminario Matematico della Università di Padova 97 (1997): 135-161. <http://eudml.org/doc/108419>.

@article{Sankaranarayanan1997,
author = {Sankaranarayanan, A., Srinivas, K.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {number of finite non-isomorphic abelian groups; Dirichlet series; Euler product; error term; summatory function; Omega estimation},
language = {eng},
pages = {135-161},
publisher = {Seminario Matematico of the University of Padua},
title = {On a method of Balasubramanian and Ramachandra (on the abelian group problem)},
url = {http://eudml.org/doc/108419},
volume = {97},
year = {1997},
}

TY - JOUR
AU - Sankaranarayanan, A.
AU - Srinivas, K.
TI - On a method of Balasubramanian and Ramachandra (on the abelian group problem)
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1997
PB - Seminario Matematico of the University of Padua
VL - 97
SP - 135
EP - 161
LA - eng
KW - number of finite non-isomorphic abelian groups; Dirichlet series; Euler product; error term; summatory function; Omega estimation
UR - http://eudml.org/doc/108419
ER -

References

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  1. [1] R. Balasubramanian, On the frequency of Titchmarsh phenomenon for ζ(s)-IV, Hardy-Ramanujan. J., 9 (1986), pp. 1-10. Zbl0662.10030
  2. [2] R. Balasubramanian - K. RAMACHANDRA, On the frequency of Titchmarsh phenomenon for ζ(s)-III, Proc. Indian Acad. Sci., 86A (1977), pp. 341-351. Zbl0373.10026
  3. [3] R. Balasubramanian - K. Ramachandra, Some problems of analytic number theory-III, Hardy-Ramanujan. J., 4 (1981), pp. 13-40. Zbl0483.10038MR643171
  4. [4] R. Balasubramanian, K. Ramachandra - M.V. Subbarao, On the error function in the asymptotic formula for the counting function of K-full numbers, Acta. Arith., 50 (1988), pp. 107-118. Zbl0652.10033MR945261
  5. [5] D.R. Heath-Brown, The Number of Abelian groups of order at most x, Asterisque (1991), pp. 198-200, 153-163 (Journees Arithmetiques de Lumines 17-21 Juillet (1989)). Zbl0749.11042MR1144320
  6. [6] A. Ivic, The general divisor problem, J. Number Theory, 27 (1987), pp. 73-91. Zbl0619.10040MR904009
  7. [7] G. Kolesnik, On the number of Abelian groups of a given order, J. Riene Angew. Math., 329 (1981), pp. 164-175. Zbl0467.10035MR636451
  8. [8] H.L. Montgomery - R.C. Vaughan, Hilbert's inequality, J. London Math. Soc., 8 (2) (1974), pp. 73-82. Zbl0281.10021MR337775
  9. [9] K. Ramachandra, Some remarks on a theorem of Montgomery and Vaughan, J. Number Theory.11 (1979), pp. 465-471. Zbl0408.10028MR544266
  10. [10] K. Ramachandra, Progress towards a conjecture of the mean-value of Titchmarsh series-I, Recent Progress in Analytic Number Theory 1, edited by H. HALBERSTAM and C. HOOLEY, Academic Press (1981), pp. 303-318. Zbl0465.10033MR637354
  11. [11] K. Ramachandra, Progress towards a conjecture of the mean-value of Titchmarsh series-II, Hardy-Ramanujan. J., 4 (1981), pp. 1-12. Zbl0483.10039MR643170
  12. [12] H.E. Richert, Zur Multiplicativen Zahlentheorie, J. Reine Angew. Math., 206 (1961), pp. 31-38. Zbl0106.03304MR126427
  13. [13] A. Schinzel, On an analytic problem considered by Sierpinski and Ramanujan, to appear. Zbl0767.11045
  14. [14] E.C. Titchmarsh, The Theory of the Riemann Zeta-Function, Second edition, revised by D. R. HEATH-BROWN, Oxford University Press (1986). Zbl0601.10026MR882550

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