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Geometry, Algebra, Number Theory, and Theirmation Technolo
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Geometry Algebra Number Theory and Their Information Technolo
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Geometry, Algebra, Number Theory, and Their Information Technology Applications
by Amir Akbary and Sanoli Gun
Springer | October 2018 | ISBN-10: 3319973789 | 523 Pages | ePUB/True PDF | 43.1/6 MB

This volume contains proceedings of two conferences held in Toronto (Canada) and Kozhikode (India) in 2016 in honor of the 60th birthday of Professor Kumar Murty.

The meetings were focused on several aspects of number theory:
- The theory of automorphic forms and their associated L-functions
- Arithmetic geometry, with special emphasis on algebraic cycles, Shimura varieties, and explicit methods in the theory of abelian varieties
- The emerging applications of number theory in information technology

Kumar Murty has been a substantial influence in these topics, and the two conferences were aimed at honoring his many contributions to number theory, arithmetic geometry, and information technology.

CONTENTS
Overview of the Work of Kumar Murty
On the Average Value of a Function of the Residual Index
Applications of the Square Sieve to a Conjecture of Lang and Trotter for a Pair of Elliptic Curves Over the Rationals
R-Group and Multiplicity in Restriction for Unitary Principal Series of GSpin and Spin
The 2-Class Tower of
On the Bad Reduction of Certain U(2,1) Shimura Varieties
Density Modulo 1 of a Sequence Associated with a Multiplicative Function Evaluated at Polynomial Arguments
Uniqueness Results for a Class of L-Functions
Quadratic Periods of Meromorphic Forms on Punctured Riemann Surfaces
On the Local Coefficients Matrix for Coverings of
Eisenstein Series of Weight One, q-Averages of theO-Logarithm and Periods of Elliptic Curves
On Zeros of Certain Cusp Forms of Integral Weight for Full Modular Group
A Note on Burgess Bound
A Smooth Selberg Sieve and Applications
Explicit Arithmetic on Abelian Varieties
Derived Categories of Moduli Spaces of Vector Bundles on Curves II
Representations of an Integer by Some Quaternary and Octonary Quadratic Forms
A Topological Realization of the Congruence Subgroup Kernel
Fine Selmer Groups and Isogeny Invariance
Distribution of a Subset of Non-residues Modulo p
On Solving a Generalized Chinese Remainder Theorem in the Presence of Remainder Errors
Endomorphism Algebras of Abelian Varieties with Special Reference to Superelliptic Jacobians
 
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