001476498 000__ 04869cam\\22006497a\4500
001476498 001__ 1476498
001476498 003__ OCoLC
001476498 005__ 20231003174424.0
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001476498 008__ 230902s2023\\\\sz\\\\\\o\\\\\000\0\eng\d
001476498 019__ $$a1395537998$$a1396911479
001476498 020__ $$a9783031316173$$q(electronic bk.)
001476498 020__ $$a3031316177$$q(electronic bk.)
001476498 020__ $$z3031316169
001476498 020__ $$z9783031316166
001476498 0247_ $$a10.1007/978-3-031-31617-3$$2doi
001476498 035__ $$aSP(OCoLC)1396062927
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001476498 049__ $$aISEA
001476498 050_4 $$aQA241
001476498 08204 $$a512.7$$223/eng/20230914
001476498 24500 $$aNumber theory in memory of Eduard Wirsing /$$cHelmut Maier, Jorn Steuding, Rasa Steuding, editors.
001476498 260__ $$aCham :$$bSpringer,$$c2023.
001476498 300__ $$a1 online resource (332 p.)
001476498 336__ $$atext$$btxt$$2rdacontent
001476498 337__ $$acomputer$$bc$$2rdamedia
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001476498 500__ $$aEstimates for k-Dimensional Spherical Summations of Arithmetic Functions of the GCD and LCM
001476498 5050_ $$6880-01$$aIntro -- Preface -- Contents -- Life and Work of Eduard Wirsing -- 1 A Brief Biography -- 2 The Early Years 1950-1957: Additive Number Theory -- 3 The Postdoc Period 1958-1969: Primes and Approximations -- 4 Thirty Years as Professor 1969-1999: From Logarithms to Partitions -- 5 Retirement and No End: Lattice Points, Rigidity, and More -- 6 Isolated, Unpublished and Late Results -- References -- Remembering Eduard Wirsing -- References -- Personal Memories -- On the Infimum of the Absolute Value of Successive Derivatives of a Real Function Defined on a Bounded Interval -- 1 Introduction
001476498 5058_ $$a2.1 A Little Lemma -- 2.2 Reduction of Theorem 1.1 -- 2.3 Proof of Theorem 1.1 -- 3 Proof of Theorem 1.2 -- 3.1 Reduction -- 3.2 Proof of Theorem 1.2 -- References -- Wirsing's Elementary Proofs of the Prime Number Theorem with Remainder Terms -- 1 Historical Background -- 2 The Selberg Formula Mechanism -- 3 Error Estimates, I -- 4 Error Estimates, II -- References -- Diophantine Analysis Around [1,2,3,...] -- 1 Introduction of the Zopf-Number -- 2 Rational Convergents of the Zopf-Number -- 3 Quadratic Convergents of the Zopf-Number -- 3.1 An Application to the Zopf-Number
001476498 5058_ $$a3.2 Expressing Quadratic Convergents by Numerators and Denominators of Rational Convergents -- 3.3 On the Approximation of the Zopf-Number by Quadratic Convergents -- 3.4 Proof of Lemma 3.4 -- 3.5 Proof of Lemma 3.7 -- 4 Error Sums of the Zopf-Number -- 4.1 Preliminaries -- 4.2 Main Results -- 4.3 Proofs -- 5 Concluding Comments -- References -- On a Smoothed Average of the Number of Goldbach Representations -- 1 Introduction and Statement of Results -- 2 Lemmas -- 3 Proof of Theorem 1.1 -- 4 Transition from Fq(N) to Gq(N) -- References
001476498 506__ $$aAccess limited to authorized users.
001476498 520__ $$aEduard Wirsing was an outstanding number theorist. In his research he made significant contributions to various subfields of number theory and also collaborated with other eminent scientists (e.g., with the Fields Medalist Alan Baker as well as Don Zagier). This commemorative volume includes numerous papers on current research in number theory by well-known experts, as well as some personal recollections by companions of Wirsing. The topics covered in this volume include arithmetical functions, continued fractions, elementary proofs of the prime number theorem, friable integers, the Goldbach problem, Dirichlet series, Euler products, and more. There is something for every interested reader.
001476498 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed September 14, 2023).
001476498 60010 $$aWirsing, E.
001476498 650_0 $$aNumber theory.
001476498 650_6 $$aThéorie des nombres.
001476498 655_0 $$aElectronic books.
001476498 7001_ $$aMaier, Helmut,$$d1953-
001476498 7001_ $$aSteuding, Jörn.
001476498 7001_ $$aSteuding, Rasa.
001476498 77608 $$iPrint version:$$aMaier, Helmut$$tNumber Theory in Memory of Eduard Wirsing$$dCham : Springer International Publishing AG,c2023$$z9783031316166
001476498 852__ $$bebk
001476498 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-31617-3$$zOnline Access$$91397441.1
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001476498 980__ $$aBIB
001476498 980__ $$aEBOOK
001476498 982__ $$aEbook
001476498 983__ $$aOnline
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