The ideal Waring theorem for exponents $401-200,000$
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- by Rosemarie M. Stemmler PDF
- Math. Comp. 18 (1964), 144-146 Request permission
References
- L. E. Dickson, Proof of the Ideal Waring Theorem for Exponents 7-180, Amer. J. Math. 58 (1936), no. 3, 521–529. MR 1507175, DOI 10.2307/2370969
- L. E. Dickson, Solution of Waring’s Problem, Amer. J. Math. 58 (1936), no. 3, 530–535. MR 1507176, DOI 10.2307/2370970
- L. E. Dickson, The Waring problem and its generalizations, Bull. Amer. Math. Soc. 42 (1936), no. 12, 833–842. MR 1563447, DOI 10.1090/S0002-9904-1936-06432-3
- K. Mahler, On the fractional parts of the powers of a rational number. II, Mathematika 4 (1957), 122–124. MR 93509, DOI 10.1112/S0025579300001170
- Hans-Heinrich Ostmann, Additive Zahlentheorie. Erster Teil: Allgemeine Untersuchungen. Zweiter Teil: Spezielle Zahlenmengen, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Hefte 7, vol. 11, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1956 (German). MR 0098721 S. S. Pillai, “On Waring’s problem,” Indian J. Math. n.s., v. 2, 1936, p. 16-44.
- D. Ridout, Rational approximations to algebraic numbers, Mathematika 4 (1957), 125–131. MR 93508, DOI 10.1112/S0025579300001182
Additional Information
- © Copyright 1964 American Mathematical Society
- Journal: Math. Comp. 18 (1964), 144-146
- MSC: Primary 10.46; Secondary 10.03
- DOI: https://doi.org/10.1090/S0025-5718-1964-0159803-X
- MathSciNet review: 0159803