Research

Submitted
Kaplan, N, and R Takloo-Bighash. “Counting Subrings Of $Z^n$ Of Index $K$ For Small $N$”. (Submitted): n. pag. Web. arXiv kaplan_takloo-bighash-_counting_subrings.pdf
Short, D, N Kaplan, and D Narayan. “Flanking Numbers And Arankings Of Cyclic Graphs”. (Submitted): n. pag. Print.
Kaplan, N. “Macwilliams Identities For $M$-Tuple Weight Enumerators”. (Submitted): n. pag. Web. arXiv kaplanmtuplemacwilliams.pdf
Chapman, S, et al. “Shifts Of Generators And Delta Sets Of Numerical Monoids”. (Submitted): n. pag. Print. shiftsofgenerators.pdf
Forthcoming
Elkies, N, and N Kaplan. “Extended Abstract: An Application Of Weighted Theta Functions To $T$-Core Partitions And Numerical Semigroups”. Oberwolfach Reports (Forthcoming): n. pag. Print. kaplan_owr_reports_abstract.pdf
2013
Kaplan, N, and L Ye. “The Proportion Of Weierstrass Semigroups”. J. Algebra 373 (2013): 377-391. Web. arXiv kaplan_ye-proportion_of_weierstrass_v4.pdf
2012
Kaplan, N. “Counting Numerical Semigroups By Genus And Some Cases Of A Question Of Wilf.”. J. Pure Appl. Algebra 216.5 (2012): 1016-1032. Print. kaplan-counting_numerical_semigroups_by_genus_october_2011.pdf
2011
Anderson, D, et al. “An Algorithm To Compute $\omega$-Primality In A Numerical Monoid”. Semigroup Forum 82.1 (2011): 96-108. Print. omegaprimalitynumericalmonoid.pdf
2010
Chapman, S, et al. “Delta Sets Of Numerical Monoids Using Non-Minimal Sets Of Generators”. Comm. Algebra 38.7 (2010): 2622-2634. Print. nonminimalgenerators.pdf
Kaplan, N. “Flat Cyclotomic Polynomials Of Order Four And Higher”. Integers 10 (2010): 357-363. Web. http://www.integers-ejcnt.org/vol10.html
2009
Kaplan, N. “Bounds For The Maximal Height Of Divisors Of $X^n-1$”. J. Num. Theory 129.11 (2009): 2673-2688. Print.
Chapman, S, R Hoyer, and N Kaplan. “Delta Sets Of Numerical Monoids Are Eventually Periodic”. Aequationes Math. 77.3 (2009): 273-279. Print. deltasetsperiodic.pdf
2007
Kaplan, N. “Flat Cyclotomic Polynomials Of Order Three”. J. Num. Theory 127.1 (2007): 118-126. Print.
Erickson, C, et al. “Parameterized Families Of Quadratic Number Fields With $3$-Rank At Least $2$”. Acta. Arith. 130.2 (2007): 141-147. Print.
2006
Bowles, D, et al. “On Delta Sets Of Numerical Monoids”. J. Algebra Appl. 5.5 (2006): 695-718. Print.