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An Introduction to the Circle Method of Hardy, Littlewood, and Ramanujan

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We discuss the number of lattice points with integer coordinates on the sphere of radius \(\lambda \) and Vinogradov’s Theorem on the representation of integers as a sum of three primes.

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Acknowledgements

This research supported in part by NSF grant DMS-0098757 at the University of Wisconsin. I would like to thank Guido for over 60 years of friendship, guidance, and encouragement. I would also like to thank the referee for his helpful suggestions.

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  1. Mathematics Department, University of Wisconsin - Madison, 480 Lincoln Drive, 213 Van Vleck Hall, Madison, WI, 53706, USA

    Stephen Wainger

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Wainger, S. An Introduction to the Circle Method of Hardy, Littlewood, and Ramanujan. J Geom Anal 31, 9113–9130 (2021). https://doi.org/10.1007/s12220-020-00579-9

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