Researcher Portfolio
Thönnes, Christian
Public Law, Max Planck Institute for the Study of Crime, Security and Law, Max Planck Society
Researcher Profile
Position: Public Law, Max Planck Institute for the Study of Crime, Security and Law, Max Planck Society
Researcher ID: https://pure.mpg.de/cone/persons/resource/persons270906
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Publications
: Zhao, J. (2020). Uniform approach to double shuffle and duality relations of various q-Analogs of multiple zeta values via Rota-Baxter algebras. In J. I. Burgos Gil, K. Ebrahimi-Fard, & H. Gangl (Eds. ), Periods in quantum field theory and arithmetic (pp. 259-292). Cham: Springer. [PubMan] : McCoy, M., Thielen, K., Wang, L., & Zhao, J. (2017). A family of super congruences involving multiple harmonic sums. International Journal of Number Theory, 13(1), 109-128. doi:10.1142/S1793042117500075. [PubMan] : Zhao, J. (2016). Multiple zeta functions, multiple polylogarithms and their special values. New Jersey [et al.]: World Scientific. [PubMan] : Zhao, J. (2016). Identity families of multiple harmonic sums and multiple zeta star values. Journal of the Mathematical Society of Japan, 68(4), 1669-1694. doi:10.2969/jmsj/06841669. [PubMan] : Yuan, H., & Zhao, J. (2016). Bachmann-Kühn's brackets and multiple zeta values at level N. Manuscripta Mathematica, 150(1-2), 177-210. doi:10.1007/s00229-015-0798-7. [PubMan] : Pilehrood, K. H., Pilehrood, T. H., & Zhao, J. (2016). On q-analogs of some families of multiple harmonic sums and multiple zeta star value identities. Communications in Number Theory and Physics, 10(4), 805-832. doi:10.4310/CNTP.2016.v10.n4.a4. [PubMan] : Zhao, J. (2015). Restricted sum formula of alternating Euler sums. The Ramanujan Journal, 36(3), 375-401. doi:10.1007/s11139-013-9533-8. [PubMan] : Yuan, H., & Zhao, J. (2015). Double shuffle relations of double zeta values and the double Eisenstein series at level N. Journal of the London Mathematical Society. Second Series, 92(3), 520-546. doi:10.1112/jlms/jdv042. [PubMan] : Guo, L., Lei, P., & Zhao, J. (2015). Families of weighted sum formulas for multiple zeta values. International Journal of Number Theory, 11(3), 997-1025. doi:10.1142/S1793042115500530. [PubMan] : Linebarger, E., & Zhao, J. (2015). A family of multiple harmonic sum and multiple zeta star value identities. Mathematika, 61(1), 63-71. doi:10.1112/S0025579313000302. [PubMan] : Yuan, H., & Zhao, J. (2015). New families of weighted sum formulas for multiple zeta values. Rocky Mountain Journal of Mathematic, 45(6), 2065-2096. doi:10.1216/RMJ-2015-45-6-2065. [PubMan] : Yuan, H., & Zhao, J. (2014). Restricted sum formula of multiple zeta values. Functiones et Approximatio Commentarii Mathematici, 51(1), 111-119. doi:10.7169/facm/2014.51.1.5. [PubMan] : Zhao, J. (2012). Finiteness of p-divisible sets of multiple harmonic sums. Annales des Sciences Mathématiques du Québec, 36(1), 259-283. Retrieved from http://de.arxiv.org/abs/math/0303043v7. [PubMan] : Zhao, J., & Zhou, X. (2011). Witten multiple zeta values attached to sl(4). Tokyo Journal of Mathematics, 34(1), 135-152. doi:10.3836/tjm/1313074447. [PubMan] : Zhao, J., & Zhou, X. (2011). Reducibility of signed cyclic sums of Mordell-Tornheim zeta and L-values. Journal of the Ramanujan Mathematical Society, 26(4), 383-414. Retrieved from http://arxiv.org/abs/0902.1262v1. [PubMan] : Zhao, J. (2011). Witten volume formulas for semi-simple Lie algebras. Integers, 11(4), 563 -588. doi:10.1515/INTEG.2011.042. [PubMan] : Zhao, J. (2010). On a conjecture of Borwein, Bradley and Broadhurst. Journal für die Reine und Angewandte Mathematik, 639, 223-233. doi:10.1515/crelle.2010.016. [PubMan] : Zhao, J. (2010). A note on colored Tornheim's double series. Integers, 10(6), 879-882. doi:10.1515/INTEG.2010.059. [PubMan] : Zhao, J., & Tauraso, R. (2010). Congruences of alternating multiple harmonic sums. Journal of Combinatorics and Number Theory, 2(2): Artcle 3. Retrieved from http://de.arxiv.org/abs/0909.0670v2. [PubMan] : Zhao, J. (2010). Multi-polylogs at twelfth roots of unity and special values of Witten multiple zeta function attached to the exceptional Lie algebra g 2. Journal of Algebra and its Applications, 9(2), 327-337. doi:10.1142/S021949881000394X. [PubMan] : Zhao, J. (2010). Alternating Euler sums and special values of the Witten multiple zeta function attached to so(5). Journal of the Australian Mathematical Society, 89(3), 419-430. doi:10.1017/S1446788711001054. [PubMan] : Zhao, J. (2010). Standard relations of multiple polylogarithm values at roots of unity. Documenta Mathematica, 15, 1-34. [PubMan]