We study a class of measure-theoretic objects that we call cubic couplings, on which there is a common generalization of the Gowers norms and the Host Kra seminorms. Our main result yields a complete structural description of cubic couplings, using...Loe edasi...
Number Theory Revealed: A Masterclass acquaints enthusiastic students with the Queen of Mathematics. The text offers a fresh take on congruences, power residues, quadratic residues, primes, and Diophantine equations and presents hot topics like...Loe edasi...
(Ilmumisaeg: 01-Dec-2019, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470441586)
Offers a fresh take on congruences, power residues, quadratic residues, primes, and Diophantine equations and presents hot topics like cryptography, factoring, and primality testing. Students are also introduced to beautiful enlightening questions a...Loe edasi...
Higher order Fourier analysis is a subject that has become very active only recently. This book serves as an introduction to the field, giving the beginning graduate student in the subject a high-level overview of the field. The text focuses on the s...Loe edasi...
(Ilmumisaeg: 01-Sep-2012, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9780821889862)
Tao (mathematics, U. of California-Los Angeles) presents the material he used in a graduate course summarizing the nascent field of quadratic--and more generally higher-order--Fourier analysis. He focuses on the foundational and preparatory aspects a...Loe edasi...
