Papers / Articles
In Journals
 (with H. Maier) Cotangent sums related to the Riemann Hypothesis for various shifts of the argument, Canadian Mathematical Bulletin, doi:10.4153/S0008439519000602.
 (with H. Maier) Distribution of a cotangent sum related to the NymanBeurling criterion for the Riemann Hypothesis, Applied Mathematics and Computation, 363(15)(2019), https://doi.org/10.1016/j.amc.2019.124589.
 (with V. Gupta and D. Agrawal) Quantitative Estimates for Differences of Baskakovtype Operators, Complex Analysis and Operator Theory, 13(8)(2019), 40454064.
 (with B. Yang and Andrei Raigorodskii) On the Reverse Hardy Type Integral Inequalities in the Whole Plane with the Extended RiemannZeta Function, Journal of Mathematical Inequalities (to appear).
 (with C. Park) Additive functional equations and partial multipliers in C*algebras, Revista de la Real Academia de Ciencias Exactas, Serie A. Matemáticas, 113(3)(2019), 22612275.
 (with H. Maier) Explicit estimates of sums related to the NymanBeurling criterion for the Riemann Hypothesis, Journal of Functional Analysis, 276(2019), 38323857.
 (with B. Yang) On an Equivalent Property of a Reverse HilbertType Integral Inequality Related to the Extended HurwitzZeta Function, Journal of Mathematical Inequalities, 13(2)(2019), 315334.
 (with B. Yang) On a Hilberttype integral inequality in the whole plane related to the extended Riemann zeta function, Complex Analysis and Operator Theory, 13(4)(2019), 17651782.
 (with B. Yang) A reverse Mulhollandtype inequality in the whole plane with multiparameters, Applicable Analysis and Discrete Mathematics, 13(1)(2019), 290308.
 (with M. R. Abdollahpour) HyersUlam stability of hypergeometric differential equations, Aequationes Mathematicae, (93)(4)(2019), 691698.
 (with B. Yang) On a Hilberttype integral inequality related to the extended Hurwitz zeta function in the whole plane, Acta Applicandae Mathematicae, 160(1)(2019), 6780.
 (with S. M. Jung and D. Nam) On the order of odd integers modulo 2^n, Applicable Analysis and Discrete Mathematics, 13(2019), 619631.
 (with H. Maier) On the size of an expression in the NymanBeurlingBaezDuarte criterion for the Riemann Hypothesis, Canadian Mathematical Bulletin, 61(3)(2018), 622627.
 (with B. Yang and A. Raigorodskii), Two Kinds of the Reverse HardyType Integral Inequalities with the Equivalent Forms Related to the Extended Riemann Zeta Function, Applicable Analysis and Discrete Mathematics, 12(2018), 273–296.
 (with B. Yang) Equivalent properties of a Hilberttype integral inequality with the best constant factor related to the Hurwitz zeta function, Annals of Functional Analysis, 9(2)(2018), 282295.
 (with H. Maier) Estimates of sums related to the NymanBeurling criterion for the Riemann Hypothesis, Journal of Number Theory, 188(2018), 96–120.
 (with H. Maier) Asymptotics for moments of certain cotangent sums for arbitrary exponents, Houston Journal of Mathematics, 43(4)(2017), 1235–1249.
 (with Y. H. Lee and S. M. Jung) Uniqueness theorems on functional inequalities concerning cubicquadraticadditive equation, Journal of Mathematical Inequalities, 12(1)(2018), 43–61.
 (with B. Yang) A halfdiscrete Hilberttype inequality in the whole plane related to the Riemann zeta function, Applicable Analysis, 97(9)(2018), 15051525.
 From a cotangent sum to a generalized totient function, Applicable Analysis and Discrete Mathematics, 11(2017), 369–385.
 (with H. Maier) The maximum of cotangent sums related to Estermann's zeta function in rational numbers in short intervals, Applicable Analysis and Discrete Mathematics, 11(2017), 166–176.
 (with H. Maier) Asymptotics for moments of certain cotangent sums, Houston Journal of Mathematics, 43(1)(2017), 207222.
 (with B. Yang) Equivalent conditions of a Hardytype integral inequality related to the extended Riemann zeta function, Advances in Operator Theory, 2(3)(2017), 237 256.
 (with H. Maier) Large gaps between consecutive prime numbers containing perfect kth powers of prime numbers, Journal of Functional Analysis, 272(2017) 26592696.
 (with H. Maier) The ternary Goldbach problem with a prime and two isolated primes, Proceedings of the Steklov Institute of Mathematics, 296(2017), 183197. Also translated in Russian and published in Trudy Matematich. Instituta im. V.A. Steklova, 296(2017), 192206.
 (with H. Maier) Generalizations of a cotangent sum associated to the Estermann zeta function, Communications in Contemporary Mathematics, 18(1)(2016), 89 pages, DOI: 10.1142/S0219199715500789.
 (with M. R. Abdollahpour and R. Aghayaria) HyersUlam stability of associated Laguerre differential equations in a subclass of analytic functions, Journal of Mathematical Analysis and Applications, 437(2016), 605 612.
 (with H. Maier) The rate of growth of moments of certain cotangent sums, Aequationes Mathematicae, 90(3)(2016), 581 595.
 (with H. Maier) Large gaps between consecutive prime numbers containing squarefree numbers and perfect powers of prime numbers, Proceedings of the American Mathematical Society, 144(2016), 3347  3354.
 (with B. Yang) On a HardyHilberttype inequality with a general homogeneous kernel, International Journal of Nonlinear Analysis and Applications, 7(1)(2016), 249269.
 (with H. Maier) The order of magnitude for moments for certain cotangent sums, Journal of Mathematical Analysis and Applications, 429(1)(2015), 576590.
 (with B. Yang) A Hilberttype integral inequality in the whole plane related to the hypergeometric function and the Beta function, Journal of Mathematical Analysis and Applications, 428(2)(2015), 12861308.
 (with S. M. Jung and C. Mortici) On a functional equation of trigonometric type, Applied Mathematics and Computation, 252(2015), 294303.
 (with C. Mortici) On the growth rate of divergent series, Journal of Number Theory, 147(2015), 499–507.
 On the representation of the number of integral points of an elliptic curve modulo a prime number, The Ramanujan Journal, Springer, 36(3)(2015), 483–499.
 (with B. Yang) On a multidimensional Hilberttype integral inequality associated to the Gamma function, Applied Mathematics and Computation, 249(2014), 408418.
 (with C. Mortici and S. M. Jung) On the stability of a functional equation associated with the Fibonacci numbers, Abstract and Applied Analysis, Volume 2014 (2014), Article ID 546046, 6 pages.
 (with B. Yang) On a multidimensional halfdiscrete Hilberttype inequality related to the hyperbolic cotangent function, Applied Mathematics and Computation, 242(2014), 800–813.
 (with S. M. Jung) A linear functional equation of third order associated to the Fibonacci numbers, Abstract and Applied Analysis, Volume 2014 (2014), Article ID 137468, 7 pages.
 A cotangent sum related to zeros of the Estermann zeta function, Applied Mathematics and Computation, 240(2014), 161–167.
 (with S. M. Jung and D. Popa) On the stability of the linear functional equation in a single variable on complete metric groups, Journal of Global Optimization, 59(2014), 165–171.
 (with Y. H. Lee and S. M. Jung) On an ndimensional mixed type additive and quadratic functional equation, Applied Mathematics and Computation, 228(2014), 13–16.
 (with B. Yang) A multidimensional halfdiscrete Hilberttype inequality and the Riemann zeta function, Applied Mathematics and Computation, 225(2013), 263–277.
 (with B. Yang) On halfdiscrete Hilbert’s inequality, Applied Mathematics and Computation, 220(2013), 75–93.
 (with G. V. Milovanović) Some properties of a hypergeometric function which appear in an approximation problem, Journal of Global Optimization, 57(2013), 1173–1192.
 (with P. Mihăilescu) Public key cryptography, number theory and applications, Newsletter, European Mathematical Society, 86(2012), 25–30.
In collected volumes

(with H. Maier), Prime avoidance property of kth powers of prime numbers with Beatty sequences, In: Discrete Mathematics and Applications, Springer (ta appear)

(with B. Yang and A. Raigorodskii), On a HalfDiscrete HilbertType Inequality in the Whole Plane with the Kernel of Hyperbolic Secant Function Related to the Hurwitz Zeta Function, In: Trigonometric Sums and their Applications, Springer (to appear)

(with H. Maier and A. Raigorodskii), The maximum of cotangent sums related to the NymanBeurling criterion for the Riemann Hypothesis, In: Trigonometric Sums and their Applications, Springer (to appear)

(with A. Raigorodskii), Maier's Matrix Method and irregularities in the distribution of prime numbers, In: Irregularities in the Distribution of Prime Numbers, Springer, 2018, 165186.
 (with B. Yang) A halfdiscrete HardyHilberttype inequality with a best possible constant factor related to the Hurwitz zeta function, In: Progress in Approximation Theory and Applicable Complex Analysis: In the Memory of Q. I. Rahman, Springer, 2017, 183218.
 (with H. Maier) Asymptotics and equidistribution of cotangent sums associated to the Estermann and Riemann zeta functions, In: From Arithmetic to ZetaFunctions. Number Theory in Memory of Wolfgang Schwarz, Springer, Basel, 2016, 277293.
 (with L. Tóth) Trigonometric representations of generalized Dedekind and Hardy sums via the discrete Fourier transform, In: Analytic Number Theory. In honor of Helmut Maier's 60th birthday, Springer, New York, 2015, 329343.
 (with B. Tams and P. Mihăilescu) Current challenges for IT security with focus on Biometry, In: Computation, Cryptography, and Network Security, Springer, New York, 2015, 461491.
 (with B. Yang) Parameterized YangHilberttype integral inequalities and their operator expressions, In: Computation, Cryptography, and Network Security, Springer, New York, 2015, 635736.
 (with B. Yang) A multidimensional Hilberttype integral inequality related to the Riemann zeta function, In: Applications of Mathematics and Informatics in Science and Engineering, Springer, New York, 2014, 417–433.
 (with P. Mihăilescu) Computational number theory and cryptography, In: Applications of Mathematics and Informatics in Science and Engineering, Springer, New York, 2014, 349–373.