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Area Lattice Points and Exponential Sums London ~ Buy Area Lattice Points and Exponential Sums London Mathematical Society Monographs on FREE SHIPPING on qualified orders

Area Lattice Points and Exponential Sums M N Huxley ~ 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 function Huxley and his coworkers have taken this method and vastly extended and improved it

Area lattice points and exponential sums Book 1996 ~ Exponential sum theorems 18 Lattice points and area 19 Further results 20 Sums with modular form coefficients 21 Applications to the Riemann zeta function 22 An application to number theory prime integer points 23 Related work 24 Further ideas Series Title Oxford science publications London Mathematical Society

Exponential Sums and Lattice Points II Proceedings of ~ The area A inside a simple closed curve C can be estimated graphically by drawing a square lattice of sides 1M The number of lattice points inside C is approximately AM 2 If C has continuous nonzero radius of curvature then the number of lattice points is accurate to order of magnitude at most M α for any α ⅔

Exponential sums and lattice points III Huxley 2003 ~ In the Bombieri–Iwaniec–Mozzochi exponential sums method we must count the number of pairs of arcs of the boundary curve which can be brought into coincidence by an automorphism of the integer lattice These coincidences are parametrised by integer points close to certain plane curves the resonance curves

Exponential Sums and Lattice Points II Huxley 1993 ~ The area A inside a simple closed curve C can be estimated graphically by drawing a square lattice of sides 1M The number of lattice points inside C is approximately AM 2 If C has continuous non‐zero radius of curvature then the number of lattice points is accurate to order of magnitude at most M α for any α ⅔

Exponential Sums and the Riemann Zeta Function V ~ In the previous paper in this series Proc London Math Soc 3 66 1993 1–40 and the monograph Area lattice points and exponential sums we saw that coincidence implies that there is an integer point close to some ‘resonance curve’ one of a family of curves in some dual space now calculated accurately in the paper ‘Resonance

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