Geometry, Algebra, Number Theory, and Their Information Technology Applications: Toronto, Canada, June, 2016, and Kozhikode, India, August, 2016

Front Matter ....Pages i-vi
 Overview of the Work of Kumar Murty  (Amir Akbary, Sanoli Gun, M. Ram Murty)....Pages 1-18
 On the Average Value of a Function of the Residual Index  (Amir Akbary, Adam Tyler Felix)....Pages 19-37
 Applications of the Square Sieve to a Conjecture of Lang and Trotter for a Pair of Elliptic Curves Over the Rationals  (S. Baier, Vijay M. Patankar)....Pages 39-57
 R-Group and Multiplicity in Restriction for Unitary Principal Series of GSpin and Spin  (Dubravka Ban, Kwangho Choiy, David Goldberg)....Pages 59-69
 The 2-Class Tower of \\(\\mathbb {Q}(\\sqrt{-5460})\\)  (Nigel Boston, Jiuya Wang)....Pages 71-80
 On the Bad Reduction of Certain U(2, 1) Shimura Varieties  (Ehud de Shalit, Eyal Z. Goren)....Pages 81-152
 Density Modulo 1 of a Sequence Associated with a Multiplicative Function Evaluated at Polynomial Arguments  (Jean-Marc Deshouillers, Mohammad Nasiri-Zare)....Pages 153-161
 Uniqueness Results for a Class of L-Functions  (Anup B. Dixit)....Pages 163-181
 Quadratic Periods of Meromorphic Forms on Punctured Riemann Surfaces  (Payman Eskandari)....Pages 183-205
 On the Local Coefficients Matrix for Coverings of \\(\\mathrm{SL}_2\\)  (Fan Gao, Freydoon Shahidi, Dani Szpruch)....Pages 207-244
 Eisenstein Series of Weight One, q-Averages of the 0-Logarithm and Periods of Elliptic Curves  (Daniel R. Grayson, Dinakar Ramakrishnan)....Pages 245-266
 On Zeros of Certain Cusp Forms of Integral Weight for Full Modular Group  (Murugesan Manickam, E. M. Sandeep)....Pages 267-271
 A Note on Burgess Bound  (Ritabrata Munshi)....Pages 273-289
 A Smooth Selberg Sieve and Applications  (M. Ram Murty, Akshaa Vatwani)....Pages 291-315
 Explicit Arithmetic on Abelian Varieties  (V. Kumar Murty, Pramathanath Sastry)....Pages 317-374
 Derived Categories of Moduli Spaces of Vector Bundles on Curves II  (M. S. Narasimhan)....Pages 375-382
 Representations of an Integer by Some Quaternary and Octonary Quadratic Forms  (B. Ramakrishnan, Brundaban Sahu, Anup Kumar Singh)....Pages 383-409
 A Topological Realization of the Congruence Subgroup Kernel  (John Scherk)....Pages 411-417
 Fine Selmer Groups and Isogeny Invariance  (R. Sujatha, M. Witte)....Pages 419-444
 Distribution of a Subset of Non-residues Modulo p  (R. Thangadurai, Veekesh Kumar)....Pages 445-459
 On Solving a Generalized Chinese Remainder Theorem in the Presence of Remainder Errors  (Guangwu Xu)....Pages 461-476
 Endomorphism Algebras of Abelian Varieties with Special Reference to Superelliptic Jacobians  (Yuri G. Zarhin)....Pages 477-528