Titlebook: Combinatorial and Additive Number Theory II; CANT, New York, NY, Melvyn B. Nathanson Conference proceedings 2017 Springer International Pu

輕彈

羅盤

PRE

https://doi.org/10.1007/978-981-16-9657-2We obtain bounds on the number of triples that determine a given pair of dot products arising in a vector space over a finite field or a module over the set of integers modulo a power of a prime. More precisely, given . or ., we provide bounds on the size of the set .for units . and ..

STELL

ZEST

矛盾心理

聲音刺耳

愛哭

Pairs of Dot Products in Finite Fields and Rings,We obtain bounds on the number of triples that determine a given pair of dot products arising in a vector space over a finite field or a module over the set of integers modulo a power of a prime. More precisely, given . or ., we provide bounds on the size of the set .for units . and ..

Blood-Clot

Organization

,A New Proof of Khovanski?’s Theorem on the Geometry of Sumsets,Khovanski? studied how iterated sumsets grow geometrically, and provided the growth polynomial for sumsets as well as an approximation to lattice points inside polytopes. In this paper, we present a new proof of the theorem about geometric growth of sumsets.