Prof. Bumkyu Cho
Department of Mathematics
Dongguk University
Seoul, Republic of Korea
Department of Mathematics
Dongguk University
Seoul, Republic of Korea
Lecture Notes
Lecture Notes on Modern Algebra, in preparation.
공학수학1, in preparation.
Papers
B. Cho, Modular equations for congruence subgroups of genus zero (II), J. Number Theory, 231 (2022), 48-79
B. Cho, Recurrence relations satisfied by the traces of singular moduli for Gamma_0(N), Taiwanese J. Math., 24 (2020), 1045-1072
B. Cho, Convolution sums of a divisor function for prime levels, Int. J. Number Theory, 16 (2020), 537-546
B. Cho, Modular equations for congruence subgroups of genus zero, Ramanujan J., 51 (2020), 187-204
B. Cho, On the number of representations of integers by quadratic forms with congruence conditions, J. Math. Anal. Appl., 462 (2018), 999-1013
B. Cho and H. Park, Evaluating binomial convolution sums of divisor functions in terms of Euler and Bernoulli polynomials, Int. J. Number Theory, 14 (2018), 509-525
B. Cho, D. Kim and H. Park, The multinomial convolution sums of certain divisor functions, J. Math. Anal. Appl., 448 (2017), 1163-1174
B. Cho, Representations of integers by the binary quadratic form x^2 + xy + ny^2, J. Aust. Math. Soc., 100 (2016), 182-191
B. Cho, D. Kim and H. Park, Combinatorial convolution sums derived from divisor functions and Faulhaber sums, Glas. Mat. Ser. III, 49 (2014), 351-367
B. Cho and H. Park, On some results of Hurwitz and Deutsch about certain quadratic forms, J. Number Theory, 144 (2014), 1-14
B. Cho, Integers of the form x^2 + ny^2, Monatsh. Math., 174 (2014), 195-204
B. Cho, S. Choi and C. H. Kim, Harmonic weak Maass-modular grids in higher level cases, Acta Arith., 160 (2013), 129-141
B. Cho, D. Kim and H. Park, Evaluation of a certain combinatorial convolution sum in higher level cases, J. Math. Anal. Appl., 406 (2013), 203-210
B. Cho and Y. Choie, On harmonic weak Maass forms of half integral weight, Proc. Amer. Math. Soc., 141 (2013), 2641-2652
B. Cho, Siegel-Ramachandra invariants generate ray class fields, J. Math. Anal. Appl. 401 (2013), 293-297
B. Cho, N. M. Kim and J. K. Koo, Affine models of the modular curves X(p) and its application, Ramanujan J., 24 (2011), 235-257
B. Cho and Y. Choie, Zagier duality for harmonic weak Maass forms of integral weight, Proc. Amer. Math. Soc., 139 (2011), 787-797
B. Cho, J. K. Koo and Y. K. Park, On Ramanujan's cubic continued fraction as a modular function, Tohoku Math. J., 62 (2010), 579-603
B. Cho, D. Kim and J. K. Koo, Divisor functions arising from q-series, Publ. Math. Debrecen, 76 (2010), 495-508
B. Cho and J. K. Koo, Construction of class fields over imaginary quadratic fields and applications, Q. J. Math., 61 (2010), 199-216
B. Cho, Primes of the form x^2 + ny^2 with conditions x = 1 mod N, y = 0 mod N, J. Number Theory, 130 (2010), 852-861
B. Cho, N. M. Kim and Y. K. Park, On the coefficients of certain family of modular equations, Osaka J. Math., 46 (2009), 479-502
B. Cho, D. Kim and J. K. Koo, Modular forms arising from divisor functions, J. Math. Anal. Appl., 356 (2009), 537-547
B. Cho, J. K. Koo and Y. K. Park, Arithmetic of the Ramanujan-Gollnitz-Gordon continued fraction, J. Number Theory, 129 (2009), 922-947