Analytic Number Theory

Table of Contents

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   Book Overview
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   Chapter 1 q-Trinomial Coefficients and Rogers-Ramanujan Type Identities
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   Chapter 2 Evaluations of Selberg Character Sums
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   Chapter 3 Oscillations of Quadratic L-Functions
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   Chapter 4 Elementary Proof of a Theorem of Bateman
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   Chapter 5 The Prime k-Tuplets Conjecture on Average
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   Chapter 6 On Arithmetic Functions Involving Consecutive Divisors
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   Chapter 7 Small Zeros of Quadratic Forms Modulo p, II
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   Chapter 8 Zeros of Derivatives Of the Riemann Zeta-Function Near the Critical Line
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    Chapter 9 On some Exponential Sums
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    Chapter 10 On the Integers n for which Ω( n )= k
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    Chapter 11 A Boundary Value Problem for a Pair of Differential Delay Equations Related to Sieve Theory, I
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    Chapter 12 Some Remarks about Multiplicative Functions of Modulus < 1
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    Chapter 13 On the Normal Behavior of the Iterates Of some Arithmetic Functions
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    Chapter 14 On the Number of Partitions of n Without a Given Subsum, II
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    Chapter 15 On Gaps between Squarefree Numbers
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    Chapter 16 Some Arithmetical Semigroups
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    Chapter 17 Norms in Arithmetic Progressions
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    Chapter 18 Lower Bounds for Least Quadratic Non-Residues
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    Chapter 19 Some Conjectures in Analytic Number Theory And their Connection With Fermat’s Last Theorem
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    Chapter 20 Modular Integrals and Their Mellin Transforms
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    Chapter 21 A Congruence for Generalized Frobenius Partitions with 3 Colors Modulo Powers of 3
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    Chapter 22 The Coefficients of Cyclotomic Polynomials
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    Chapter 23 The Rudin-Shapiro Sequence, Ising Chain, and Paperfolding
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    Chapter 24 On Binomial Equations over Function Fields And a Conjecture of Siegel
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    Chapter 25 Best Possible Results on the Density of Sumsets
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    Chapter 26 Some Powers of The Euler Product
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    Chapter 27 A Divergent Argument Concerning Hadamard Roots Of Rational Functions
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    Chapter 28 Diagonalizing Eisenstein Series. I
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    Chapter 29 Some Binary Partition Functions
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    Chapter 30 On the Minimal Level of Modular Forms
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    Chapter 31 Inequalities for Heights Of Algebraic Subspaces And the Thue-Siegel Principle
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    Chapter 32 The Abstract Prime Number Theorem For Algebraic Function Fields