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Hardy's legacy to number theory

  • R. C. Vaughan (a1)
Abstract
Abstract

This is an expanded version of two lectures given at the conference held at Sydney University in December 1997 on the 50th anniversary of the death of G. H. Hardy.

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This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

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[63]D. Hilbert , ‘Beweis für Darstellbarkeit der ganzen Zahlen durch eine feste Anzahl unter Potenzen Waringsche Problem’, Math. Annalen 67 (1909), 281300;

[64]C. Hooley , ‘On the representation of a number as the sum of two squares and a prime’, Acta Math. 97 (1957), 189210.

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[99]W. M. Schmidt , ‘Small zeros of additive forms in many variables II’, Acta Math. 143 (1979), 219232.

[100]W. M. Schmidt , ‘Diophantine inequalities for forms of odd degrees’, Advances in Math. 38 (1980), 128151.

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[117]R. C. Vaughan , ‘A new iterative method in Waring's problem’, Acta Math. 162 (1989), 171.

[118]R. C. Vaughan , ‘On a variance associated with the distribution of general sequences in arithmetic progressions I, II’, Phil. Trans. Royal Soc. London A356 (1998), 781791.

[120]R. C. Vaughan and T. D. Wooley , ‘Further improvements in Waring's problem. II: Sixth powers’, Duke Math. J.? (1994), 683710.

[121]R. C. Vaughan and T. D. Wooley , ‘Further improvements in Waring's problem’, Acta Math. 174 (1995), 147240.

[125]H. Weyl , ‘Über die Geichverteilung von Zahlen mod Eins’, Math. Ann. 77 (1919), 313352.

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Journal of the Australian Mathematical Society
  • ISSN: 1446-7887
  • EISSN: 1446-8107
  • URL: /core/journals/journal-of-the-australian-mathematical-society
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