Current Trends in Number Theory

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