2,877 research outputs found

    Non-Beiter ternary cyclotomic polynomials with an optimally large set of coefficients

    Full text link
    Let l>=1 be an arbitrary odd integer and p,q and r primes. We show that there exist infinitely many ternary cyclotomic polynomials \Phi_{pqr}(x) with l^2+3l+5<= p<q<r such that the set of coefficients of each of them consists of the p integers in the interval [-(p-l-2)/2,(p+l+2)/2]. It is known that no larger coefficient range is possible. The Beiter conjecture states that the cyclotomic coefficients a_{pqr}(k) of \Phi_{pqr} satisfy |a_{pqr}(k)|<= (p+1)/2 and thus the above family contradicts the Beiter conjecture. The two already known families of ternary cyclotomic polynomials with an optimally large set of coefficients (found by G. Bachman) satisfy the Beiter conjecture.Comment: 20 pages, 7 Table

    Part-time work by high school seniors: Sorting out correlates and possible consequences (rev. ed.)

    Full text link
    https://deepblue.lib.umich.edu/bitstream/2027.42/137892/1/occ32.pd

    When four months equal a year: An exploration of inconsistencies in students' monthly versus yearly reports of drug use

    Full text link
    https://deepblue.lib.umich.edu/bitstream/2027.42/137903/1/occ9.pd

    The impacts of response styles on black-white differences in self-esteem: An analysis of six samples of youth

    Full text link
    https://deepblue.lib.umich.edu/bitstream/2027.42/137900/1/occ16.pd

    National survey results on drug use from the Monitoring the Future study, 1975-1995. Volume I: Secondary school students.

    Full text link
    https://deepblue.lib.umich.edu/bitstream/2027.42/137816/1/mtf-vol1_1995.pd

    Drug use among American high school seniors, college students and young adults, 1975-1990. Volume II: College students and young adults.

    Full text link
    https://deepblue.lib.umich.edu/bitstream/2027.42/137830/1/mtf-vol2_1990.pd

    National survey results on drug use from the Monitoring the Future study, 1975-1994. Volume II: College students and young adults.

    Full text link
    https://deepblue.lib.umich.edu/bitstream/2027.42/137820/1/mtf-vol2_1994.pd

    Correlates of drug use, part I: Selected measures of background, recent experiences, and lifestyle orientations

    Full text link
    https://deepblue.lib.umich.edu/bitstream/2027.42/137904/1/occ8.pd

    Response styles revisited: Racial/ethnic and gender differences in extreme responding

    Full text link
    https://deepblue.lib.umich.edu/bitstream/2027.42/137850/1/occ72.pd

    Student drug use, attitudes, and beliefs: National trends, 1975-1982.

    Full text link
    https://deepblue.lib.umich.edu/bitstream/2027.42/137839/1/mtf-vol1_1982.pd
    • …
    corecore