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# Basilla, Julius

Associate Professor
Math Building 229

Research Interests
Number theory. Algebraic geometry.
• Publications
• Arances, Eric Anthony C. and Basilla, J.M., On the greatest common divisor in imaginary quadratic number fields. ”Matimyas Matematika vol. 41 No. 1 (2018) pp 1-8.
• Basilla J., Santos C.,”The quadratic fields with discriminant divisible by exactly three primes and with subgroup isomorphic to $$\frac{\mathbb{Z}}{4\mathbb{Z}} \oplus\frac{\mathbb{Z}}{4\mathbb{Z}}$$.” Matimyas Matematika, December, 2010.
• Basilla, J. M. “On Cornacchia’s algorithm for solving the diophantine equation $$x^2+dy^2=m$$.” Proceedings of the 6th Taiwan-Philippine symposium on analysis. October 21-23, 2005 National Sun Yat-sen University, Kaohsiung, Taiwan.
• Basilla, J.M and Wada H. “On the solution of $$x^2-dy^2 = \pm m$$.” Proceeding of Japan Academy, Vol. 81, Ser. A, No. 8(2005) pp.137-140.
• Basilla, J.M. “The quadratic fields with discriminant divisible by exactly two primes and with narrow class number divisible by 8”, Proceeding of Japan Academy, Vol. 80 Ser A No. 10, December 2004 pp. 187-190.
• Basilla, J.M and Wada H. “On efficient computation of the 2-parts of ideal class groups of quadratic fields”, Proceeding of Japan Academy, Vol. 80 Ser A No. 10, December 2004 pp. 191-193.
• Basilla, J.M and Nagata K.. “The integral solutions of $$x^2+dy^2=m (0$$”
• Basilla, J.M. “On the solutions of $$x^2+dy^2 =m$$”, Proceeding of Japan Academy, Vol. 80 Ser A No. 5, March 2004 pp. 40-41.