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Prof. U. V. Balakrishnan

Professor, Mathematics

u.balakrishnan@sharda.ac.in

About

  • Gold Medalist For  M. Sc. (Mathematics), Calicut University  In 1976.
  • Ph. D. (Mathematics – Theory Of Numbers) 1985,  From Tifr. Bombay.
  • 40  Years In Academic Field  (Research & Teaching) (School Of Mathematics, Tifr From 1976 – 1995).
  • Editor, Eritrean Journal Of Science And Engineering.
  • Awarded Swiss National Research Fund Grants 21-39317.93 And 20-45449.95 In  1994 And 1996 For Joint Projects With Geneva University For Research Collaboration With Prof. Y.- F. S. Petermann
  • Best Teacher Sharda University Award In 2014 – 15.
  • 12 Years Research And Teaching Experience Abroad.
  • Biography Appears In ‘Marquis Who Is Who In The World, ‘Marquis Who Is Who In Science And Engineering, Who Is Who In The World (International Biography Centre, Cambridge, England) Etc

Experience
  • 41 Years
Qualification
  • Ph. D.
  • M. Sc.;
Award & Recognition

  • Gold Medalist for  M. Sc. (Mathematics), Calicut University  In 1976.
  • Editor, Eritrean Journal of Science and Engineering.
  • Awarded Swiss National Research Fund Grants 21-39317.93 And 20-45449.95 in  1994 And 1996 for joint projects with Geneva University for Research Collaboration with Prof. Y.- F. S. Petermann
  • Best Teacher Sharda University Award In 2014 – 15.
  • Biography Appears in ‘Marquis Who Is Who In The World, ‘Marquis Who is Who In Science and Engineering, Who Is Who in The World (International Biography Centre, Cambridge, England) Etc..

Research

IN REFEREED INTERNATIONAL JOURNALS

  1. On the Mean Value of Dirichlet Series, Mathematische Zeitschrift 185 (1984), 533-537.
  2. Extreme values of the Dedekind zeta function, Acta Arithmetica, XLVI (1986), 199-210.
  3. Laurent expansion of Dirichlet series, Bulletin of Australian Math. Soc., 33  (1986), 351-357.
  4. Laurent Expansion of Dirichlet Series II, Monatshefte für Mathematik, 103 (1987), 1-5.
  5. A Footnote to a Conjecture in Number Theory – II (Co-authored with S. Srinivasan), Rendiconti Accademia Nazionale delle scienze, detta dei XL, Memorie di Matematica 1040 (1986), Vol. X fasc. 4, pp. 43-44.
  6. A series for (s), Proc. Edinburgh Math. Soc., 31 (1988), 205-210.
  7. On the sum  d(n) (n+N) (Co-authored with J. Sengupta), manuscripta mathematica, 67 (1990), 367-378.
  8. On arithmetical functions whose generating functions are of the form (s) (s+1)f(s+1) (Co-authored with Y. -F. S. Pétermann), Interdisciplinary studies in Number Theory Nov. 10 – 13, 1992, RIMS Kokyuroku (Japan) 837 (1993), 63-71.
  9. Sum of digits of divisors, Nieuw Archief Voor Wiskude, (Co-authored with B. Sury) July 1993, 169 – 170.
  10. Some remarks on ((n)), Fibonacci Quarterly, August 1994, 293-296.
  11. On the sum of divisors function, Journal of Number Theory 51 (1995), 147-168.
  12. Asymptotic estimates for a class of summatory functions (Co-authored with Y. -F. S. Pétermann), Publications internes de la Section de Mathématiques de lUniversité de Genève, no. 9, Dec. 1994.
  13. The Dirichlet series of (s) (s+1)f(s+1) On an error term associated to its coefficients (Co-authored with Y. -F. S. Pétermann), Acta Arithmetica LXXV.1 (1996), 39-69.14.
  14. Asymptotic estimates for a class of summatory functions (Co-authored with Y. -F. S. Pétermann), Journal of Number Theory 70 (1998) pp. 1-36.
  15. Errata to ‘The Dirichlet series of Z(s) Z(s+1)f(s+1) On an error term associated with its coefficients (Acta Arithmetica 75, (1996), 39 – 69 Acta Arithmetica LXXXVII.3 (1999).
  16. Estimates for a class of summatory functions II (Co-authored with Y. -F. S. Pétermann), Commentarii Mathematici Universitatis Sancti Pauli 50 No.1 (2001) pp. 89 – 109.

IN REFEREED INDIAN JOURNALS

  1. On the mean value of 2k(s) on the critical line, Journal of the Indian Math. Soc., 43 (1979), 111-118.
  2. On the Laurent expansion of (s, ) at s = 1, Journal of the Indian Math. Soc., 46 (1982), 181-187.
  3. Touching Ramanujans work (Proceedings of Ramanujan Conference in Gautam Buddh University, 15 – 16, Dec., 2012.) Mathematical Models Methods and Algorithms, Indian Society for Industrial and Applied Mathematics, Chapter 13, pp. 233 – 240.

PREPRINTS

  1. A representation of  ïº(k) by a transformation of series, Preprint.
  2. On Eulers transformation of series, Preprint.
  3. On a Theorem of  S. Chowla  and  H. Walum, Preprint.
  4. On the digits of , Preprint.
  5. Measuring the growth of some divergent sequences or taming infinity, To appear.
  6. A further step in  Stirlings direction, To appear.

Area of Intrest

  • Mathematics
  • Statistics