Titlebook: Equidistribution in Number Theory, An Introduction; Andrew Granville,Zeév Rudnick Conference proceedings 20071st edition Springer Science+

Ruptured-Disk

,SIEVING AND THE ERDŐS–KAC THEOREM,We give a relatively easy proof of the Erdős-Kac theorem via computing moments. We show how this proof extends naturally in a sieve theory context, and how it leads to several related results in the literature.

frivolous

THE DISTRIBUTION OF PRIME NUMBERS,What follows is an expanded version of my lectures at the NATO School on Equidistribution. I have tried to keep the informal style of the lectures. In particular, I have sometimes oversimplified matters in order to convey the spirit of an argument.

PRE

THE DISTRIBUTION OF ROOTS OF A POLYNOMIAL,How are the roots of a polynomial distributed (in ℂ)? The question is too vague for if one chooses one’s favourite complex numbers z., z., ⋯, z. then the polynomial Π..(x - z.) has its roots at these points.

Ptosis

星星

Nausea

bacteria

东西

https://doi.org/10.1007/978-1-4020-5404-4Chemistry; Mathematics; NATO; Physics; Prime; Prime number; Science; Series II; algebraic varieties; calculus

Cabinet

Saket Verma,L. M. Das,S. C. Kaushikistribution and, in turn, the bounding of relevant exponential sums. Several of the bounds we give have since been quantitatively sharpened, by Garaev (Garaev, 2005) and, spectacularly so, in recent work of Bourgain (Bourgain, 2004; Bourgain, 2005).

Herd-Immunity

https://doi.org/10.1007/978-3-319-23537-0jective hyper-surfaces; in Ullmo’s course we study Galois orbits and Duke’s lectures deal with CM-points on the modular curve. This lecture concerns one of the earliest examples, namely torsion points on group varieties.