R.Thangadurai


Research Summary:

During this year, I continued my exploration in "Zero-sum Problems" in the field of Combinatorial number theory and also in Bernoulli numbers.

Preprints:

  1. On a structure of p-zero-sum free sequences, (with W. D. Gao and A. Panigrahi), Preprint, 2004.
  2. Distribution of Quadratic non-residues which are not primitive roots, (with S. Gun, B. Ramakrishnan and B. Sahu), Preprint, 2004.
Publications:

  1. On the structure of sequences with forbidden zero-sum subsequences, (with W. D. Gao), Colloquim Mathematicum, 98 , No. 2, (2003), 213-222.

  2. Adams Theorem on Bernoulli Numbers Revisited, Journal of Number Theory , 106, (2004), 169-177.

  3. On a variant of Kemnitz Conjecture, (with W. D. Gao), Journal of Combinatorial Theory, Series A , 107, (2004), 69-86.

  4. Olson's Constant for the group Zp &oplus Zp, (with W. D. Gao and I. Z. Ruzsa), Journal of Combinatorial Theory, Series A , 107, (2004), 49-67.
Conference/Workshops Attended:

  1. Conference on "Number Theory" in the honor of Prof. K. Ramachandra on his 70th birthday held at NIAS, Bangalore from 13th Dec. -- 15th Dec. 2003.

  2. Invited speaker for the workshop on Discrete Mathematics to be held in Poona University from 21st March- 24th March, 2004.
Visits to other Institutes:

  1. Visited University of Poona, Pune

  2. Bhaskaracharya Prathisthana, Pune
Invited Lectures/Seminars:

  1. Invited speaker at the Conference on "Number Theory" in the honor of Prof. K. Ramachandra on his 70th birthday held at NIAS, Bangalore from 13th Dec. -- 15th Dec. 2003.

  2. Invited speaker for the workshop on Discrete Mathematics to be held in Poona University from 21st March- 24th March, 2004.
Other Activities:

  1. Guiding Student: Mr. Brundaban Sahu, a second year student has taken a year long project under me on "Combinatorial Number Theory" from August 2003.
  2. Graduate Courses taught: Introduction to Number Theory during August, 2003 to December, 2003.
Participation in Committees:

  1. Jest Committee (2003-04): Co-ordinator
  2. Visiting Students including VSSP (2003-04): Co-ordinator
  3. Graduate Committee (2003-04): Member
  4. Computer Committee (2003-04): Member
  5. Sports and Entertinement Committee (2003-04): Member



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