Front Matter ....Pages i-ix
On the Average of the Sum-of-odd-divisors Function (S. D. Adhikari, G. Coppola)....Pages 1-15
Rogers-Ramanujan Identities (A. K. Agarwal)....Pages 17-25
On the Problem of Explicit Evaluation of the Number of Solutions of the Equation a1x12 + ⋯ + anxn2 = bx1 ⋯ xn in a Finite Field (Ioulia Baoulina)....Pages 27-37
An Introduction to Congruences Between Modular Forms (Eknath Ghate)....Pages 39-58
The Cyclotomic Problem (S. A. Katre)....Pages 59-72
The Local Root Number of Elliptic Curves (Shin-Ichi Kobayashi)....Pages 73-83
On Skew-holomorphic Jacobi Forms (M. Manickam)....Pages 85-90
The View-obstruction Problem (Anirban Mukhopadhyay)....Pages 91-100
The Addition Law on Hyperelliptic Jacobians (V. Kumar Murty)....Pages 101-110
Sieving Using Dirichlet Series (M. Ram Murty)....Pages 111-124
Higher Circular ℓ-units of Anderson and Ihara (D. S. Nagaraj)....Pages 125-128
On Automorphism Groups of Algebraic Curves (Shōichi Nakajima)....Pages 129-134
Special Integral Bases with Restricted Coefficients for Extensions of Dedekind Domains (V. C. Nanda)....Pages 135-140
Zeta Functions for Curves Defined over Finite Fields (Anuradha Narasimhan)....Pages 141-146
Algebraic Elements in Group Rings (I. B. S. Passi)....Pages 147-158
Reflection Representation and Theta Correspondence (Nilabh Sanat)....Pages 159-164
Some Aspects of the Central Critical Value of Automorphic L-functions (J. Sengupta)....Pages 165-174
Integral Points on the Circle X2 + Y2 = c (Parvati Shastri)....Pages 175-184
An Equation of Goormaghtigh and Diophantine Approximations (T. N. Shorey)....Pages 185-197
Base Change, Distinguishedness and a Theorem of Saito (Rajat Tandon)....Pages 199-213
Elliptic curves in function field arithmetic (Dinesh S. Thakur)....Pages 215-238
On Certain Zero-sum Problems in Finite Abelian Groups (R. Thangadurai)....Pages 239-254
Modular Forms and Functional Equations (T. C. Vasudevan)....Pages 255-264
Lefschetz Properties of Subvarieties of Shimura Varieties (T. N. Venkataramana)....Pages 265-270