Some problems of ?Partitio Numerorum?: IV. The singular series in Waring's Problem and the value of the numberG(k)

Author:

Hardy G. H.,Littlewood J. E.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference22 articles.

1. G. H. Hardy and J. E. Littlewood, Some problems of ?Partitio Numerorum?: I. A new solution of Waring's Problem, Göttinger Nachrichten 1920, S. 33?54: II. Proof that every large number is the sum of at most 21 biquadrates, Mathematische Zeitschrift9 (1921), S. 14?27. The third memoir of the series (Some problems of ?Partitio Numerorum?: III. On the expression of a number as a sum of primes) will appear shortly in the Acta Mathematica. The problems considered in this memoir are of a somewhat different character. We refer to these memoirs as P. N. 1, P. N. 2, P. N. 3.

2. D. Hilbert, Beweis für die Darstellbarkeit der ganzen Zahlen durch eine feste Anzahln-ter Potenzen, Göttinger Nachrichten 1909, S. 17?36: reprinted with certain changes in Mathematische Annalen,67 (1909), S. 281?300.

3. E. Landau, Zur Hardy-Littlewoodschen Lösung des Waringschen Problems, Göttinger Nachrichten 1921, S. 88?92.

4. H. Weyl, Bemerkung zur Hardy-Littlewoodschen Lösung des Waringschen Problems, Göttinger Nachrichten 1922.

5. A. Ostrowski, Bemerkung zur Hardy-Littlewoodschen Lösung des Waringschen Problems, Mathematische Zeitschrift,9 (1921), S. 28?34. We return to this point in § 6. 3.

Cited by 58 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On Waring numbers of henselian rings;Mathematika;2024-08-25

2. Splitting hypergeometric functions over roots of unity;Research in the Mathematical Sciences;2024-08-22

3. The number of q-points on diagonal hypersurfaces with monomial deformation;Pacific Journal of Mathematics;2024-04-30

4. Partitio Numerorum: sums of squares and higher powers;Functiones et Approximatio Commentarii Mathematici;2024-01-01

5. Power Values of Power Sums: A Survey;Association for Women in Mathematics Series;2024

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3