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Area, Lattice Points, and Exponential Sums Book

Area, Lattice Points, and Exponential Sums
Area, Lattice Points, and Exponential Sums, In analytic number theory many problems can be reduced to those involving the estimation of exponential sums in one or several variables. This book is a thorough treatment of the developments arising from the method for estimating the Riemann zeta funct, Area, Lattice Points, and Exponential Sums has a rating of 3.5 stars
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Area, Lattice Points, and Exponential Sums, In analytic number theory many problems can be reduced to those involving the estimation of exponential sums in one or several variables. This book is a thorough treatment of the developments arising from the method for estimating the Riemann zeta funct, Area, Lattice Points, and Exponential Sums
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  • Area, Lattice Points, and Exponential Sums
  • Written by author M. N. Huxley
  • Published by Oxford University Press, USA, August 1996
  • In analytic number theory many problems can be "reduced" to those involving the estimation of exponential sums in one or several variables. This book is a thorough treatment of the developments arising from the method for estimating the Riemann zeta funct
  • In analytic number theory many problems can be "reduced" to those involving the estimation of exponential sums in one or several variables. This book is a thorough treatment of the developments arising from the method for estimating the Riemann zeta funct
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Book Categories

Authors

Notation
Introduction1
1The rational line7
2Polygons and area24
3The integer points close to a curve42
4The rational points close to a curve63
5Analytic lemmas87
6Mean value results126
7The simple exponential sum142
8The exponential sum for the lattice point problem167
9Exponential sums with a difference185
10Exponential sums with modular form coefficients197
11The ruled surface method235
12The Hardy-Littlewood method255
13The First Spacing Problem for the double sum272
14The First and Second Conditions287
15Consecutive minor arcs307
16The Third and Fourth Conditions329
17Exponential sum theorems349
18Lattice points and area372
19Further results406
20Sums with modular form coefficients423
21Applications to the Riemann zeta function438
22An application to number theory: prime integer points452
23Related work467
24Further ideas478
References484
Index491


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Area, Lattice Points, and Exponential Sums, In analytic number theory many problems can be reduced to those involving the estimation of exponential sums in one or several variables. This book is a thorough treatment of the developments arising from the method for estimating the Riemann zeta funct, Area, Lattice Points, and Exponential Sums

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Area, Lattice Points, and Exponential Sums, In analytic number theory many problems can be reduced to those involving the estimation of exponential sums in one or several variables. This book is a thorough treatment of the developments arising from the method for estimating the Riemann zeta funct, Area, Lattice Points, and Exponential Sums

Area, Lattice Points, and Exponential Sums

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Area, Lattice Points, and Exponential Sums, In analytic number theory many problems can be reduced to those involving the estimation of exponential sums in one or several variables. This book is a thorough treatment of the developments arising from the method for estimating the Riemann zeta funct, Area, Lattice Points, and Exponential Sums

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