Papers presented at an international conference of the Ramanujan Mathematical Society to observe its tenth anniversary, held during Jan. 36, 1996.

Includes bibliographical references.

Relative splitting of onemotives ; The Hasse principle in a pencil of algebraic varieties ; StarkHeegner points over real quadratic fields ; On the Hecke action on the cohomology of HilbertBlumenthal surfaces ; The bc conjecture and exponents of class groups of quadratic fields ; Heights of points on subvarieties of bf G^n_m ; A note on a geometric analogue of AnkenyArtinChowla's conjecture ; Determinant of representations of division algebras of prime degree over local fields ; rm Mod\, p modular forms ; On exceptions of integral quadratic forms ; A brief survey on the theta correspondence ; Deformations of SiegelHilbert Hecke eigensystems and their Galois representations ; A new key identity for Gollnitz' (big) partition theorem ; Some localconvexity theorems for the zetafunctionlike analytic functions. III ; Perfect powers in products of terms in an arithmetical progression. IV ; On some connections between probability and number theory ; Inhomogeneous minima of a class of quaternary quadratic forms of type 2,2) ; On an arithmetical inequality. II ; Algebraic numbers close to results and methods ; Transcendence in positive characteristic ; Minorations des hauteurs normalisees des sousvarietes de varietes abeliennes ; Klein polygons and geometric diagrams ; Sails and Klein polyhedra ; Automata and transcendence Daniel Bertrand ; JL ColliotThelene ; H Darmon ; Fred Diamond ; M Ram Murty ; Wolfgang Schmidt ; Jing Yu and JiuKang Yu ; S Jayasree and R Tandon ; Chandrashekhar Khare ; A K Lal and B Ramakrishnan ; Dipendra Prasad ; J Tilouine ; Krishnaswami Alladi and George E Andrews ; R Balasubramanian and K Ramachandra ; R Balasubramanian and T N Shorey ; JeanMarc Deshouillers ; Madhu Raka and Urmila Rani ; S Srinivasan ; Francesco Amoroso ; W Dale Brownawell ; Sinnou David and Patrice Philippon ; Gilles Lachaud ; Gilles Lachaud ; Dinesh S Thakur