Miho Aoki

• Galois module structure of algebraic integers of cyclic cubic fields, submitted (2024). arXiv:2410.20403
• Galois module structure of algebraic integers of the simplest cubic field, (with Hajime Ogawa), submitted (2023). arXiv:2305.08888
• Normal integral bases of Lehmer's cyclic quintic fields, (with Yu Hashimoto), The Ramanujan Journal 65, (2024), 985-1010. arXiv:2209.10858
• Chebyshev's Bias against Splitting and Principal Primes in Global Fields, (with Shin-ya Koyama), Journal of Number Theory 245 (2023), 233-262. arXiv:2203.12266
• Normal integral bases and Gaussian periods in the simplest cubic fields, (with Yu Hashimoto), Annales mathématiques du Québec 48 (2024), 157-173. arXiv:2108.03367
• On values of the higher derivatives of the Barnes zeta function at non-positive integers, (with Shinpei Sakane), Kodai Math. J. 45 (1) (2022), 65-95. arXiv:2011.08667
• A family of pairs of imaginary cyclic fields of degree (p-1)/2 with both class numbers divisible by p, (with Yasuhiro Kishi), The Ramanujan Journal 52, (2020), 133-161.
• Remarks on hypergeometric Cauchy numbers, (with Takao Komatsu), to appear in Mathematical Reports.
• Several properties of hypergeometric Bernoulli numbers, (with Takao Komatsu and Gopal Krishna Panda), Journal of Inequalities and Applications, 2019:113 (2019).
• On the Laxton Group, (with Masanari Kida), Research in Number Theory 5, No. 1, Art. 13, (2019), 22 pp. arXiv:1809.07973
• Mod p equivalence classes of linear recurrence sequences of degree 2, (with Yuho Sakai) Rocky Mountain Journal of Mathematics 47, No. 8 (2017), 2513-2533.
  
• An infinite family of pairs of imaginary quadratic fields with both class numbers divisible by five, (with Yasuhiro Kishi), Journal of Number Theory 176 (2017), 333-343.
• On Equivalence Classes of Generalized Fibonacci sequences, (with Yuho Sakai), Journal of Integer Sequences, 19 (2016), Article 16.2.6.
• On systems of fundamental units of certain quartic fields, (with Yasuhiro Kishi), International Journal of Number Theory 11, No. 7 (2015) 2019-2035.
• On divisibility of generalized Fibonacci numbers, (with Yuho Sakai), Integers 15 (2015), Paper No. A31.
• On the Coates-Sinnott conjecture for CM fields, Bulletin of the London Mathematical Society 45 (2013), 131-139.
• A note on the Coates-Sinnott conjecture, Bulletin of the London Mathematical Society 41 (2009), 613-620.
• On some exact sequences in the theory of cyclotomic fields, Journal of Algebra 320 (2008), 4156--4177.
• An algorithm for computing p-class groups of abelian number fields, (with Takashi Fukuda), Lecture Notes in Computer Science, 4076 (2006), Springer, Berlin, 56-71.
• Notes on the structure of the ideal class groups of abelian number fields, Proc. Japan Acad. Series A 81 (2005), 69-74.
• Local units and Gauss sums, Journal of Number Theory 101 (2003), 270-293.
• The Iwasawa Main conjecture and Gauss sums, Journal of Number Theory 89 (2001), 151-164.