maculated 发表于 2025-3-27 00:27:07

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TRUST 发表于 2025-3-27 02:59:53

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玩忽职守 发表于 2025-3-27 06:19:16

Some PracticeWe detail four examples in this chapter and provide a wide-ranging ready-made result. The way most of this chapter is written differs rather seriously from the prevailing one in the previous chapters: we essentially enunciate things and expect the readers to complete the proofs.

Matrimony 发表于 2025-3-27 12:17:50

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饶舌的人 发表于 2025-3-27 17:19:01

The Mertens EstimatesWe need estimates for the number of primes in the initial interval. Such estimates are long known. Efforts to make them explicit started in the thirties, see, for instance, the papers [.] by R. Breusch, Robert and [.] by J.B. Rosser.

EXPEL 发表于 2025-3-27 20:04:21

The Levin–Faĭnleĭb Theorem and AnaloguesOur first theorem is efficient when the value of the non-negative multiplicative function . we are summing is about constant on prime numbers.

不发音 发表于 2025-3-27 23:21:58

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cochlea 发表于 2025-3-28 05:20:46

Primes in Arithmetical ProgressionsWe first gently steer the readers through the general notions and then inspect them more closely in two special cases.

发出眩目光芒 发表于 2025-3-28 08:55:48

Computing a Famous ConstantLet .(.) denote the number of integers . that can be written as a sum of two integer squares. In early 1913 a then unknown clerk by the name of S. Ramanujan made the following claim in his first letter to the very famous mathematician Hardy.

敌意 发表于 2025-3-28 13:44:20

1019-6242 a methodological approach to the material with several diffe.This textbook offers a unique exploration of analytic number theory that is focused on explicit and realistic numerical bounds. By giving precise proofs in simplified settings, the author strategically builds practical tools and insights f
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