International Symposium in Memory of Hua Loo Keng

Chapter 1 Hua Loo Keng: A Brief Outline of his Life and Works

Chapter 2 Professor Hua Loo Keng in Japan

Chapter 3 On the Least Prime in an Arithmetical Progression and Theorems Concerning the Zeros of Dirichlet’s L -Functions ( V )

Chapter 4 On the Even Part of BSD Conjecture for Elliptic Curves with Complex Multiplication by % MathType!MTEF!2!1!+- % feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeSijHi6aam % WaaeaacaaMi8+aaSaaaeaacaaIXaGaey4kaSYaaOaaaeaacqGHsisl % caaI3aaaleqaaaGcbaGaaGOmaaaacaaMi8oacaGLBbGaayzxaaaaaa!40BD! $$\mathbb{Z}\left[ {{\kern 1pt} \frac{{1 + \sqrt { - 7} }}{2}{\kern 1pt} } \right]$$

Chapter 5 Eigenvalues of the Laplacian for PSL (2, ℤ): Some New Results and Computational Techniques

Chapter 6 Three Primes Theorem in a Short Interval (II)

Chapter 7 On the Zeros of Riemann’s Zeta-Function on the Critical Line

Chapter 8 Small Prime Solutions of a Pair of Linear Equations in Five Variables

Chapter 9 Hecke Operator and Pellian Equation Conjecture

Chapter 10 Lower Bound for Number of B-Twins in Short Intervals

Chapter 11 Legendre Polynomial over Finite Fields and Factorization of Integers

Chapter 12 Modular Forms of Weight 3/2 Related to Class Numbers

Chapter 13 On the Congruent Number Problem

Chapter 14 Aspects of the Small Sieve

Chapter 15 On the Number of Good Simultaneous Approximations to Algebraic Numbers

Chapter 16 On a Generalized Waring’s Problem in Algebraic Number Fields

Chapter 17 Solutions of x + y = z in Numbers Which Are Almost S - Units

Chapter 18 Fourth Power Mean Value of Dirichlet’s L -Functions

Chapter 19 From Baker to Mordell

Chapter 20 On the Arithmetic Properties of G -Functions

Chapter 21 Uniform Distribution of Values of Multiplicative Functions