On sums and differences of two coprime kth powers

Wenguang Zhai

Acta Arithmetica (1999)

  • Volume: 91, Issue: 3, page 233-248
  • ISSN: 0065-1036

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Wenguang Zhai. "On sums and differences of two coprime kth powers." Acta Arithmetica 91.3 (1999): 233-248. <http://eudml.org/doc/207354>.

@article{WenguangZhai1999,
author = {Wenguang Zhai},
journal = {Acta Arithmetica},
keywords = {sums of higher power; number of primitive lattice points; plane domain; Riemann hypothesis; exponent pairs},
language = {eng},
number = {3},
pages = {233-248},
title = {On sums and differences of two coprime kth powers},
url = {http://eudml.org/doc/207354},
volume = {91},
year = {1999},
}

TY - JOUR
AU - Wenguang Zhai
TI - On sums and differences of two coprime kth powers
JO - Acta Arithmetica
PY - 1999
VL - 91
IS - 3
SP - 233
EP - 248
LA - eng
KW - sums of higher power; number of primitive lattice points; plane domain; Riemann hypothesis; exponent pairs
UR - http://eudml.org/doc/207354
ER -

References

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  2. [2] E. Fouvry and H. Iwaniec, Exponential sums for monomials, J. Number Theory 33 (1989), 311-333. Zbl0687.10028
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  7. [7] H. L. Montgomery and R. C. Vaughan, The distribution of squarefree numbers, in: Recent Progress in Analytic Number Theory (Durham, 1979), Vol. 1, Academic Press, London, 1981, 247-256. 
  8. [8] B. Z. Moroz, On the number of primitive lattice points in plain domains, Monatsh. Math. 99 (1985), 37-43. Zbl0551.10038
  9. [9] W. Müller and W. G. Nowak, Lattice points in planar domains: applications of Huxley's 'discrete Hardy-Littlewood method', in: Number-Theoretic Analysis (Vienna, 1988-89), Lecture Notes in Math. 1452, Springer, 1990, 139-164. 
  10. [10] W. Müller and W. G. Nowak, On a mean-value theorem concerning differences of two k-th powers, Tsukuba J. Math. 13 (1989), 23-29. Zbl0687.10033
  11. [11] W. G. Nowak, On sums of two coprime k-th powers, Monatsh. Math. 108 (1989), 47-57. Zbl0678.10034
  12. [12] W. G. Nowak, On sums and differences of two relative prime cubes, Analysis 15 (1995), 325-341. Zbl0842.11032
  13. [13] W. G. Nowak, Primitive lattice points in starlike planar sets, Pacific J. Math. 170 (1997), 163-178. Zbl0917.11052
  14. [14] W. G. Nowak, On sums of two k-th powers: a mean-square bound for the error term, Analysis 16 (1996), 297-304. Zbl0860.11060
  15. [15] W. G. Nowak, On sums and differences of two relative prime cubes II, Tatra Mt. Math. Publ. 11 (1997) (Proc. Czech and Slovak Number Theory Conference, 1995), 23-34. Zbl0978.11050
  16. [16] W. G. Nowak, On differences of two k-th powers of integers, Ramanujan J. 2 (1998), 421-440. Zbl0922.11080
  17. [17] J. D. Vaaler, Some extremal problems in Fourier analysis, Bull. Amer. Math. Soc. 12 (1985), 183-216. Zbl0575.42003

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