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The Prime Number Theorem with an Error Term,Rewriting PNT as ., it is clear from Theorem . that . is a better approximation than . to .. We have given a proof of PNT in the previous chapter by a method different from that of J. Hadamard and de la Vallée Poussin.骇人 发表于 2025-3-25 22:50:50
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The Baker Theorem,A complex number . is called . if there exists a non-zero polynomial . such that . and . if . such that .(.) is monic and .. In fact . satisfies the unique polynomial .(.) of minimal degree with relatively prime integer coefficients such that the leading coefficient of . is positive.不感兴趣 发表于 2025-3-26 07:28:17
Complex Analysis with Applications to Number Theory978-981-15-9097-9Series ISSN 2363-6149 Series E-ISSN 2363-6157IDEAS 发表于 2025-3-26 09:02:32
Introduction and Simply Connected Regions,ce. We introduce the notion of connectedness in Sect. 1.2, and we show in Theorem . that an open set in a metric space is a disjoint union of open connected sets which we call .. Further, we prove Theorem . in Sect. 1.3 that the extended complex plane is a metric space homeomorphic to the Riemann spachlorhydria 发表于 2025-3-26 13:53:59
Harmonic Functions,unction are harmonic. We prove the existence of a harmonic conjugate of a harmonic function in a simply connected region in Sect. 4.4 where we also prove its converse. We introduce continuous functions with Mean Value Property in a region . in Sect. 4.5 and prove in Sect. 4.5 Maximum principle for hCYN 发表于 2025-3-26 17:12:21
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