Proceedings of the Indian Academy of Sciences
Mathematical Sciences


VOL. 99, January-December 1989


Contents

April 1, 1989
Pages
Zassenhaus conjecture of A5 —  I. S. Luthar and I. B. S. Passi
1-5
Aperiodic rings, necklace rings and Witt vectors-II — K. Varadarajan
7-15
Classification of isolated complete intersection singularities — A. J. Parameswaran
17-25
Quasiminimal invariants for foliations of orientable closed surfaces — A. Wiliam Veech
27-48
Positive solutions of the semilinear Dirichlet problem with critical growth in the unit disc in R2 — Adimurthi
49-73
A softer, stronger Lidskii theorem — Rajendra Bhatia and John A. R. Holbrook
75-83
On unbounded subnormal operators — Arvind B. Patel and Subhas J. Bhatt
85-92
Thermohaline convection with cross-diffusion in an anisotropic porous medium — Prabhamani R. Patil and C. P. Parvathy
93-101
August 2, 1989

Canonical measures on the moduli spaces of compact Riemann surfaces — Subhashis Nag
103-111
Dynamics on Ahlfors quasi-circles — Jenny Harison
113-122
On the gap between two classes of analytic functions — M. Jahangiri
123-126
Discrete subgroups of algebraic groups over local fields of positive characteristics —
M. S. Raghunathan
127-146
Small fractional parts of additive forms — R. J. Cook
147-153
A generalisation of the Riemann zeta-function — K. Ramachandra and I. V. Volovich
155-162
Generalized absolute Cesaro summability of a Fourier series — Subas Chandra Jena and Sakuntala Swain
163-168
Fractional integral formulae involving a general class of polynomials and the multivariable H-function — K. C. Gupta and S. M. Agrawal
169-173
Asymptotic expansions of the Mehler-Fock transform — R. S. Pathak and R. N. Pandey
175-180
Asymptotic analysis of some nonlinear problems using Hopf-Cole transform and spectral theory — K. T. Joseph
181-190
December 3, 1989

Cycles on the generic abelian threefold — Madhav V. Nori
191-196
Mumford's example and a general construction — S. Subramanian
197-208
Graded subrings of C[X,Y] — R. V. Gurjar
209-215
A note on the coefficient rings of polynomial rings — J. H. Pathak
217-220
Ramifications of Ramanujan's work on n-products — David Ford and John Mckay
221-229
Transcendence conjectures about periods of modular forms and rational structures on spaces of modular forms — Winfried Kohnen
231-233
On Shintani correspondence — M. Manickam, B. Ramakrishanan and T. C. Vasudevan
235-247
On the integral modulus of continuity of Fourier series — Babu Ram and Suresh Kumari
249-253
On orbit equivalence of Borel automorphisms — P. Chaube and M. G. Nadkurni
255-261
Steady-state thermoelastic stresses in an infinite transversely isotropic medium containing an external circular crack — Geetarashmi Basu and Bikash Ranjan Das
263-272
Note — M. A. Shah and B. B. Waghmode
273