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PUBLICATIONS Jing Yu

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PUBLICATIONS Jing Yu

[1] A Cuspidal class number formula for the modular curves X(N), Mathematische An- nalen 252(1980), 197-216.

[2] Irrationality of lattices in finite characteristic, Mathematika 29(1982), 227-230.

[3] Transcendental numbers arising from Drinfeld modules, Mathematika 30(1983), 61-66.

[4] Transcendence theory over function fields, Duke Mathematical Journal 52(1985), 517-527.

[5] A six exponentials theorem in finite characteristic, Mathematische Annalen 272 (1985), 91-98.

[6] Transcendence and Drinfeld modules, Inventiones mathematicae 83(1986), 507-517.

[7] Transcendence and Drinfeld modules : several variables, Duke Mathematical Journal 58(1989), 559-575.

[8] On Periods and quasi-periods of Drinfeld modules, Compositio Mathematica 74 (1990), 235–245.

[9] Transcendence and special zeta values in characteristic p, Annals of Mathematics 134 (1991), 1–23.

[10] Transcendence in finite characteristic, The Arithmetic of Function Fields, ed. by D.

Goss, D.R.Hayes & M.I.Rosen, de Gruyter 1992, 253–264.

[11] Analytic homomorphisms into Drinfeld modules, Annals of Mathematics 145 (1997), 215–233.

[12] A note on a geometri analogue of Ankeny-Artin-Chowla’s conjecture, (with Jiu-Kang Yu), Contemporary Math. A.M.S. 210 (1998), 101–105.

[13] On class number relations over function fields, (with Julie T.-Y. Wang), Journal of Number Theory 69 (1998), 181–196.

[14] On Singular Moduli of Drinfeld Modules in Characteristic Two, (with L.-C. Hsia), Journal of Number Theory 69 (1998), 80–97.

[15] On characteristic polynomials of geometric Frobenius associated to Drinfeld modules, (with L.-C. Hsia), Compositio Mathematica 122 (2000), 261–280.

[16] Distribution of units of real quadratic number fields, (with Y.-M. J. Chen and Y.

Kitaoka), Nagoya J. of Mathematics 158 (2000), 167–184.

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[17] On a density problem for elliptic curves over finite fields, (with Y.-M. J. Chen), Asian J. of Mathematics 4 (2000), 737–756.

[18] On arithmetic of hyperelliptic curves, Aspects of Mathematics, HKU 2001, 395–415.

[19] On Artin’s conjecture for rank one Drinfeld modules, (with C.-N. Hsu), Journal of Number Theory 88 (2001), 157–174.

[20] On primitive roots of one dimensional tori: the function field case, (with Y.-M. J.

Chen and Y. Kitaoka), Mathematishe Zeitschrift 243 (2003), 201-215.

[21] On primitive roots for Carlitz module, (with W.-C. Yao), Journal of Number Theory 100 (2003), 88–103.

[22] On the density of 4-ranks of tame kernels for quadratic fields, (with Q Yue), J. reine angew. Math. 567 (2004), 151–173.

[23] Mass formula of supersingular Drinfeld modules, (with C.-F. Yu), C. R. Acad. Sci.

Paris, Ser. I 338 (2004), 905–908.

[24] On primitive roots of elliptic curves with complex multiplication, (with Y.-M. J.

Chen), Journal of Number Theory114 (2005), 66–87.

[25] Special zeta values on positive characteristic, Arithmetic Geometry and Number Theory, ed. by L. Weng & I. Nakamura, World Scientific 2006, 103–122.

[26] Determination of algebraic relations among special zeta values in positive charac- teristic, (with Chieh-Yu Chang), Advances in Math.216 2007, 321–345.

[27] On class number relations in characteristic two, (with Y.-M. J. Chen), Math. Zeit.

259 2008, 197–216.

[28]On primitive roots for rank one Drinfeld modules (with W.-C.Yao), Journal of Num- ber Theory 130 (2010), 370–385.

[29] On the Independence of Heegner Points in the Function Field Case, (with Fu-Tsun Wei), Journal of Number Theory 130 (2010), 2542–2560.

[30] Frobenius difference equations and algebraic independence of zeta values in positive characteristic, (with Chieh-Yu Chang and M. Papanikolas), to appear in Journal of Algebra and Number Theory, 2011.

[31] Geometric gamma values and zeta values in positive characteristic, (with Chieh-Yu Chang and M. Papanikolas), International Mathematics Research Notices 8 (2010), 1432-1455.

[32] Algebraic independence of arithmetic gamma values and Carlitz zeta values, (with Chieh-Yu Chang, D. Thakur, and M. Papanikolas), Advances in Math. 223 (2010), 1137-1154.

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[33] On theta series from quaternion algebras over function field, (with Fu-Tsun Wei), preprint 2010.

[34] Theta series and function field analogue of Gross formula, (with Fu-Tsun Wei), to appear in Documenta Mathematica 2011.

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