Papers
Papers
- Squares, triangles, and continued fractions
- B.N. Givens and M. Kobayashi, INTEGERS 2025 Conference Proceedings, to appear.
- Dyadically resolving trinomials for fast modular arithmetic
- R. Dougherty-Bliss, M. Kobayashi, N. Ter-Saakov, and E. Zima, Mathematics in Computer Science, submitted.
- A geometric approach to triangular-square numbers
- M. Kasatani and M. Kobayashi, Math. Mag. 97 (2024), 495–502.
- On the equation \(\phi(n)=\phi(n+1)\)
- P. Kinlaw, M. Kobayashi, and C. Pomerance, Acta Arith. 196 (2020), 69–92.
- On integers \(n\) for which \(\sigma(2n+1)\geq \sigma(2n)\)
- M. Kobayashi and T. Trudgian, J. Number Theory 215 (2020), 138–148.
- A dissection proof of Euler's series for \(1-\gamma\)
- M. Kobayashi, Math. Mag. 90 (2017), 360–364.
- A generalization of a series for the density of abundant numbers
- M. Kobayashi, Int. J. Number Theory 12 (2016), 671–677.
- A dissection proof of Leibniz's series for \(\pi/4\)
- M. Kobayashi, Math. Mag. 87 (2014), 145–150.
- A new series for the density of abundant numbers
- M. Kobayashi, Int. J. Number Theory 10 (2014), 73–84.
- The error term in the count of abundant numbers
- M. Kobayashi and P. Pollack, Mathematika 60 (2014), 43–65.
- Polynomial graphs and symmetry
- G. Goehle and M. Kobayashi, College Math. J. 44 (2013), 37–42.
- Mating strategies and the Allee effect: a comparison of mathematical models
- D.I. Wallace, R. Agarwal, and M. Kobayashi, BIOMAT 2010, 2011, 192–207.
- On the density of abundant numbers
- M. Kobayashi, thesis, Dartmouth College, 2010, 239 pp.
- On the distribution of sociable numbers
- M. Kobayashi, P. Pollack, and C. Pomerance, J. Number Theory 129 (2009), 1990–2009.
- Solution structure of monomeric peptide YY supports the functional significance of the PP-fold
- D.A. Keire, M. Kobayashi, T.E. Solomon, and J.R. Reeve, Biochemistry 39 (2000), 9935–42.
- Primary structures of PYY, [Pro34]PYY, and PYY-(3–36) confer different confirmations and receptor selectivity
- D.A. Keire, P.J. Mannon, M. Kobayashi, and J.H. Walsh, Am. J. Physiol. Gastrointest. Liver Physiol. 279 (2000) G126–31.
- NMR studies of the metal-loading kinetics and acid-base chemistry of DOTA and butylamide-DOTA
- D.A. Keire and M. Kobayashi, Bioconjugate Chemistry 10 454–63.
- The orientation and dynamics of substance P in lipid environments
- D.A. Keire and M. Kobayashi, Protein Science 7 (1998), 2438–50.