Ruptured-Disk
发表于 2025-3-23 13:43:41
,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
发表于 2025-3-23 15:50:23
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
发表于 2025-3-23 21:20:42
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
发表于 2025-3-23 23:05:24
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星星
发表于 2025-3-24 03:23:43
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Nausea
发表于 2025-3-24 07:59:57
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bacteria
发表于 2025-3-24 11:39:50
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东西
发表于 2025-3-24 17:27:38
https://doi.org/10.1007/978-1-4020-5404-4Chemistry; Mathematics; NATO; Physics; Prime; Prime number; Science; Series II; algebraic varieties; calculus
Cabinet
发表于 2025-3-24 19:00:48
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
发表于 2025-3-25 02:40:17
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.