代表性成果:
[1] Y. Bugeaud and J.-Y. Yao, Hankel determinants, Padé approximations, and irrationality exponents for p-adic numbers. Ann. Mat. Pura Appl. 196 (2017), 929-946.
[2] Y. Bugeaud, Guo-Niu Han, Z.-Y. Wen, and J.-Y. Yao, Hankel determinants, Padé approximations, and irrationality exponents. Int. Math. Res. Not. IMRN 2016, 1467-1496.
[3] D. S. Thakur, Z.-Y. Wen, J.-Y. Yao, and L. Zhao, Transcendence in positive characteristic and special values of hypergeometric functions. J. Reine Angew. Math. 657 (2011), 135-171.
[4] A.-H. Fan, M.-T. Li, J.-Y. Yao, and D. Zhou, Strict ergodicity of affine p-adic dynamical systems on Zp. Adv. Math. 214 (2007), 666-700.
[5] J.-Y. Yao, Carlitz-Goss gamma function, Wade's method, and transcendence. J. Reine Angew. Math. 579 (2005), 175-193.
所翻译的专著:
[1] G. Tenenbaum,M. Mendès France合著,姚家燕译,素数论. 清华大学出版社(2007)
[2] L. Schwartz著,姚家燕译,广义函数论. 高等教育出版社(2010)