Analytic Number Theory

Table of Contents

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   Book Overview
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   Chapter 1 On Analytic Continuation of Multiple L -Functions and Related Zeta-Functions
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   Chapter 2 On the Values of Certain q -Hypergeometric Series II
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   Chapter 3 The Class Number One Problem for Some Non-Normal Sextic CM-Fields
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   Chapter 4 Ternary Problems in Additive Prime Number Theory
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   Chapter 5 A Generalization of E. Lehmer’s Congruence and Its Applications
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   Chapter 6 On Chen’s Theorem
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   Chapter 7 On a Twisted Power Mean of L (1, χ )
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   Chapter 8 On the Pair Correlation of the Zeros of the Riemann Zeta Function
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    Chapter 9 Discrepancy of Some Special Sequences
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    Chapter 10 Padé Approximation to the Logarithmic Derivative of the Gauss Hypergeometric Function
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    Chapter 11 The Evaluation of the Sum over Arithmetic Progressions for the Coefficients of the Rankin-Selberg Series II
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    Chapter 12 Substitutions, Atomic Surfaces, and Periodic Beta Expansions
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    Chapter 13 The Largest Prime Factor of Integers in the Short Interval
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    Chapter 14 A General Divisor Problem in Landau’s Framework
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    Chapter 15 On Inhomogeneous Diophantine Approximation and the Borweins’ Algorithm, II
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    Chapter 16 Asymptotic Expansions of Double Gamma-Functions and Related Remarks
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    Chapter 17 A Note on a Certain Average of L (1/2 + it , χ)
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    Chapter 18 On Covering Equivalence
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    Chapter 19 Certain Words, Tilings, Their Non-Periodicity, and Substitutions of High Dimension
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    Chapter 20 Determination of All Q-Rational CM-Points in Moduli Spaces of Polarized Abelian Surfaces
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    Chapter 21 On Families of Cubic Thue Equations
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    Chapter 22 Two Examples of Zeta-Regularization
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    Chapter 23 A Hybrid Mean Value Formula of Dedekind Sums and Hurwitz Zeta-Functions