Publications & Preprints
In Mathematics


PUBLICATIONS :

Sukumar Das Adhikari

  1. Monochromatic configurations for finite colourings of the plane
    (Jointly with Purusottam Rath)
    Note di Matematica 22, no. 1, 59 -63 (2003/04).
  2. On the sets of uniqueness of the distribution function of $\{ \xi (p/q)^n\}$
    (Jointly with P. Rath and N. Saradha)
    Acta Arithmetica, to appear.

Kalyan Chakraborty

  1. Exponent of the class group of real quadratic function fields II, (jointly with A. Mukhopadhayay), to appear in Proc.of the AMS.
  2. On the divisibility of class numbers of real quadratic fields , to appear in RIMS (Kyoto University) Conf. Proceedings, 2004.
  3. On the number of Fourier coefficients that determine a form, to appear in Waseda University Number Theory Conf. Proceedings, 2005.

Chandan Singh Dalawat

  1. Le groupe de Chow d'une surface rationnelle sur un corps local, Compositio Mathematica 141 (2) 2005, pp. 344-358. math.AG/0302157.
  2. The Chow group of a del Pezzo surface over a local field, Japanese Journal of Mathematics, to appear. math.AG/0302260.

Satya Deo

  1. Spline modules from a divided domain to a subdivided domain (with J. K. Maitra) Indian J. Pure Appl. Math 35(2004)1033-1041.

  2. Strongly contractible polyhedra which are not simply contractible at $n$ points for any $n\geq 2$ (with V. V. Awasthi), J. Indian Math Soc (to appear)

  3. Branched coverings, labelled coverings, and transitive permutation groups (jointly with R.S.Kulkarni), in preparation.

  4. Freeness of homogenized spline module from a divided domain to a subdivided domain (with J. K. Maitra), submitted.

  5. Algebraic Topology, a Primer; Hindustan Book Agency, TRIM series Number 27, New Delhi, 2003.

Rukmini Dey

  1. Deformation quantization of a dimensionally reduced Seiberg-Witten moduli space, accepted for publication in Reports on Mathematical Physics, as an addendum to a previous paper.
  2. Quantization of a dimensionally reduced Seiberg-Witten moduli spaces, Mathematical Physics Electronic Journal, vol 10, 2004, paper no.9,

  3. A complete conformal metric of preassigned negative Gaussian curvature for a punctured hyperbolic Riemann surfaces, Proceedings of Indian Academy of Sciences - Math Sci. Vol.114,No.2, May 2004, pg. 141-151

Manoj Kumar Keshari
  1. Stability results for projective modules over blowup rings. To appear in J. Algebra.

I.B.S. Passi

  1. Algebra Vol 4: Field Theory, Narosa Publishing House, 2004 (jointly with
    I. S. Luthar).
  2. A contribution to Bass' conjecture, J. Group Theory, 7 (2004), 409-420 (jointly with I. Emmanouil).
  3. Hyperbolic unit groups, Proc. Amer. Math. Soc., 133 (2005), 415-423 (jointly with S. O. Juriaans and D. Prasad).
  4. Augmentation powers and group homology,J. Pure Appl. Algebra, 192 (2004), 225-238 (jointly with R. Mikhailov).
  5. Higher traces on group rings,Comm. Algebra, 33 (2005), 987-997 (jointly with R. Mikhailov).
  6. A transfinite filtration of Schur multiplicator,International J. Algebra and Computation [to appear] (jointly with R. Mikhailov).
  7. Faithfulness of certain modules and residual nilpotence of groups, International J. Algebra and Computation [to appear] (jointly with R. Mikhailov).

B. Ramakrishnan

  1. An estimate for a certain average of the special values of character twists of modular $L$-functions (with M. Manickam), Proc. Amer. Math. Soc. 133 (2005), 2515-2517.
  2. On the representation of integers as sums of an odd number of squares (with Sanoli Gun), To appear in The Ramanujan Journal.
  3. On special values of certain Dirichlet $L$-functions (with Sanoli Gun), To appear in The Ramanujan Journal.
  4. Distribution of Quadratic non-residues which are not primitive roots (with Sanoli Gun, Brundaban Sahu and R. Thangadurai), Accepeted for publication in Math. Bohemica.

Ratnakumar P.K.

  1. Schrödinger equation and the oscillatory semigroup for the Hermite operator, jointly with A.K. Nandakumaran, Journal of Functional Analysis, (to appear).

R. Thangadurai

  1. On Steinhaus sets, (with S. M. Srivastava),Expositiones Mathematicae, No 2 23 (2005), 171-178.
  2. On the structure of p-zero-sum free sequences and its application to a variant of Erdös-Ginzburg-Ziv theorem (with W D Gao and A Panigrahi), Proceedings of the Indian Academy of Sciences (Mathematical Sciences), VOL. 115, NO. 1, FEBRUARY 2005, 67-77.
  3. On the structure of sequence with forbidden zero-sum problems (with W. D. Gao), To appear in Aequisitiones Mathematicae.
  4. Irreducibility Criterion over $\mathbb{Z}$, To appear in Elemente Mathematicae.

Manoj K. Yadav

  1. (Jointly with Everett C. Dade)Finite groups with many product conjugacy classes. to appear in Israel Journal of Mathematics.

Sanoli Gun

  1. On the representation of integers as sums of an odd number of squares (with B. Ramakrishnan), To appear in The Ramanujan Journal.
  2. On special values of certain Dirichlet $L$-functions (with B. Ramakrishnan), To appear in The Ramanujan Journal.
  3. Distribution of Quadratic non-residues which are not primitive roots (with Brundaban Sahu, R. Thangadurai and B. Ramakrishnan), Accepeted for publication in Math. Bohemica.

Purusottam Rath

  1. Monochromatic configurations for finite colourings of the plane
    (Jointly with S.D.Adhikari)
    Note di Matematica 22, no. 1, 59 -63 (2003/04).
  2. On the sets of uniqueness of the distribution function of $\{ \xi (p/q)^n\}$
    (Jointly with S.D.Adhikari and N. Saradha)
    Acta Arithmetica, to appear.

Brundaban Sahu

  1. Distribution of Quadratic non-residues which are not primitive roots (with Sanoli Gun, R. Thangadurai and B. Ramakrishnan), Accepeted for publication in Math. Bohemica.

Anupam Kumar Singh

  1. Reality properties of conjugacy classes in $G_2$ (with M. Thakur, appeared in Israel Journal of mathematics, vol. 145).


PREPRINTS :

Sukumar Das Adhikari

  • Contributions to zero-sum problems
    (Jointly with J. Friedlander, S. Konyagin and F. Pappalardi)

Punita Batra

  • (With S. Eswara Rao)Classification of Irreducible Integrable modules for Twisted Toroidal Lie algebras with finite dimensional weight spaces.

Kalyan Chakraborty

  • Exponents of class groups of a family of cyclic cubic fields.

Chandan Singh Dalawat

  • (with Dipendra Prasad) Bad varieties with good motives. In preparation.
  • Restriction and corestriction on the Chow group of a rational surface.
  • (with Bas Edixhoven) Regular proper integral models of ruled surfaces ; applications. In preparation.

Satya Deo

  • Spline modules from a divided domain to a subdivided domain (with J. K. Maitra) Indian J. Pure Appl. Math 35(2004)1033-1041.
  • Strongly contractible polyhedra which are not simply contractible at $n$ points for any $n\geq 2.$ (with V. V. Awasthi), J. Indian Math Soc (to appear)
  • Freeness of homogenized spline module from a divided domain to a subdivided domain (with J. K. Maitra), submitted.

Manoj Kumar Keshari

  • Stability results for projective modules over blowup rings.

I.B.S. Passi

  • Group homology and Connes' periodicity in the cyclic homology of group algebras (jointly with I. Emmanouil).

N. Raghavendra

  • Indranil Biswas, and N. Raghavendra, On transversely holomorphic principal bundles, Submitted for publication.

B. Ramakrishnan

  • Eichler-Zagier map for Jacobi forms of half-integral weight (with M. Manickam).
  • On the Lacunarity of Two-Eta-Products (with Sanoli Gun).

D. Surya Ramana

  • D.S.Ramana, A Method of Vinogradov for Sums of Fractional Parts.

Ratnakumar P.K.

  • Schrödinger propagator for the special Hermite operator, a regularity result.

Ritumoni Sarma

  • Ritumoni Sarma, $S$-Arithmetic Subgroups of $SL_2$ (under preparation).

R. Thangadurai

  • On Davenport's Constant.

Manoj K. Yadav

  • Class preserving automorphisms of finite $p$-groups (in preparation).

Sanoli Gun

  • On the Lacunarity of Two-Eta-Products (with Shaun Cooper and B. Ramakrishnan).

Krishnendu Gongopadhyay

  • (with Ravi Kulkarni)The spaces of $n$-planes and $n$-spheres.

Siddhartha Sarkar

  • Genus Spectrum for $p$-groups of exponent $p$ and order upto $p^6$.

Anupam Kumar Singh

  • Conjugacy classes in anisotropic $G_2$.
  • Reality properties of conjugacy classes in Linear Algebraic Groups (with M. Thakur, in preparation).


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