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

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.)

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

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

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.

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.

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.

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

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

Drug use, drinking, and smoking: National survey results from high school, college, and young adult populations, 1975-1988.

https://deepblue.lib.umich.edu/bitstream/2027.42/137832/1/mtf-vol1_1988.pd

The distributional effects of the Trump and Clinton tax proposals

Hillary Clinton and Donald Trump, the Democratic and Republican candidates for President of the U.S. in 2016, proposed several changes in the federal tax code. Hillary Clinton would add a personal income tax surcharge of 4% on high annual incomes, limit the tax benefits of non-charitable deductions, set a minimum tax rate of 30% on taxpayers earning more than one million dollars a year, increase the tax rates on capital gains for taxpayers in the top tax bracket, and expand the base of the estate tax. Donald Trump would reduce the number of personal income tax rates, increase the standard personal deduction, cut all taxes on business income to no more than 15%, and abolish the inheritance tax. Using a tax calculator model, we estimate the static effects of these very different changes. Over a ten-year period, Clinton’s proposals would raise federal tax revenue by a total of $816 billion, an increase of 1.9$9.8 trillion. Clinton’s higher taxes would reduce incomes and revenue somewhat, while Trump’s tax cuts would potentially boost output substantially. Using an extended simulation model, we find that 86% of the incremental tax burden of Clinton’s tax increases would fall on those in the top tenth of the income distribution. Most other taxpayers would see only minor changes in their tax burdens, and the revenue and redistributive effects of her proposed changes are relatively modest. Meanwhile, 70% of Trump’s tax cuts would go to those in the top decile, and the effects are large, with gains of over $15,000 annually per person for this group, compared to gains of less than$500 per person for the poorest 40% of the population. On tax policy, the two candidates propose strikingly different policies