Titlebook: Cubic Forms and the Circle Method; Tim Browning Book 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to Spri

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踉蹌

前兆

https://doi.org/10.1007/978-3-030-86872-7Circle method; Cubic forms; Diophantine equations; Fourier analysis; Global fields; Hasse principle; Local

helper-T-cells

978-3-030-86874-1The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

Evocative

Christine G. Krüger,Sonja LevsenIn this chapter we discuss cubic Diophantine equations over the function field ., where . is a finite field with . elements. Any homogeneous cubic polynomial in at least 10 variables over . admits a non-trivial zero over ., by Theorem ..

Evocative

Polish Volunteers in the Napoleonic Wars,A key part of higher-dimensional algebraic geometry involves uncovering the connection between the geometry of algebraic varieties and the geometry of the . of genus 0 curves (of fixed degree) that are contained in them. In general, these spaces are very difficult to access and remain largely elusive.

Endearing

Adenoma

使閉塞

,Waring’s Problem for Cubes,s as a sum of integers drawn from a particular set, such as the set of primes, squares or cubes. All of the examples in this book concern cubic polynomials and the goal of this chapter is to illustrate the genesis of the circle method through one of the most famous additive problems.