Introduction to the circle method

Murty, Maruti Ram.

Introduction to the circle method M. Ram Murty, Kaneenika Sinha. - Providence: American Mathematical Society, 2023. - xix, 257p. - Student mathematical library, volume 104 1520-9121 ; .

Includes bibliographical references and index.

Fundamental theorem of arithmetic -- Arithmetic functions -- Introduction to congruence arithmetic -- Distribution of prime numbers -- An introduction to Waring's problem -- Waring's problem -- Exponential sums -- The circle method and Waring's problem -- The circle method and the Goldbach conjectures.

9781470472030

2023009446


Hardy-Littlewood method.
Waring's problem.
Number theory -- Additive number theory; partitions -- Applications of the Hardy-Littlewood method.
Number theory -- Additive number theory; partitions -- Goldbach-type theorems; other additive questions involving primes.
Number theory -- Forms and linear algebraic groups -- Sums of squares and representations by other particular quadratic forms.

QA241 / .M853 2023

512.7 M96I



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