@article{bwmeta1.element.bwnjournal-article-aav60i3p289bwm, author = {J. Herzog and P. R. Smith}, title = {Lower bounds for a certain class of error functions}, journal = {Acta Arithmetica}, volume = {62}, year = {1992}, pages = {289-305}, zbl = {0754.11024}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav60i3p289bwm} }
J. Herzog; P. R. Smith. Lower bounds for a certain class of error functions. Acta Arithmetica, Tome 62 (1992) pp. 289-305. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav60i3p289bwm/
[000] [1] T. M. Apostol, Introduction to Analytic Number Theory, Springer, New York 1976.
[001] [2] R. Dedekind, Gesammelte mathematische Werke. Erster Band, R. Fricke, E. Noether and Ö. Ore (eds.), Vieweg, Braunschweig 1930.
[002] [3] P. Erdős, On the sum , J. London Math. Soc. 27 (1952), 7-15.
[003] [4] P. Erdős and H. N. Shapiro, On the changes of sign of a certain error function, Canad. J. Math. 3 (1951), 375-385. | Zbl 0044.03903
[004] [5] H. Halberstam and H.-E. Richert, On a result of R. R. Hall, J. Number Theory 11 (1979), 76-89.
[005] [6] J. Herzog and P. R. Smith, Asymptotic results on the distribution of integers possessing weak order (mod m), preprint, Frankfurt 1990.
[006] [7] G. J. Janusz, Algebraic Number Fields, Academic Press, New York 1973. | Zbl 0307.12001
[007] [8] V. S. Joshi, Order free integers (mod m), in: Number Theory, Mysore 1981, Lecture Notes in Math. 938, Springer, New York 1982, 93-100.
[008] [9] J. C. Lagarias and A. M. Odlyzko, Effective versions of the Chebotarev density theorem, in: Algebraic Number Fields: L-functions and Galois Properties, Proc. Sympos. Durham 1975, Academic Press, London 1977, 409-464.
[009] [10] E. Landau, Über die zahlentheoretische Funktion μ(k), in: Collected Works, Vol. 2, L. Mirsky et al. (eds.), Thales Verlag, Essen 1986, 60-93.
[010] [11] E. Landau, Vorlesungen über Zahlentheorie, Chelsea, New York 1950.
[011] [12] F. Mertens, Über einige asymptotische Gesetze der Zahlentheorie, J. Reine Angew. Math. 77 (1874), 289-338.
[012] [13] H. L. Montgomery, Fluctuations in the mean of Euler's phi function, Proc. Indian Acad. Sci. (Math. Sci.) 97 (1987), 239-245. | Zbl 0656.10042
[013] [14] S. S. Pillai and S. D. Chowla, On the error terms in some asymptotic formulae in the theory of numbers (I), J. London Math. Soc. 5 (1930), 95-101. | Zbl 56.0889.01
[014] [15] J. H. Proschan, On the changes of sign of a certain class of error functions, Acta Arith. 17 (1971), 407-430. | Zbl 0233.10027
[015] [16] H. Stevens, Generalizations of the Euler φ-function, Duke Math. J. 38 (1971), 181-186. | Zbl 0215.06702
[016] [17] A. Walfisz, Weylsche Exponentialsummen in der neueren Zahlentheorie, Deutsch. Verlag Wiss., Berlin 1963. | Zbl 0146.06003