Edit Profile (opens in new tab) Hessami Pilehrood, Khodabakhsh Compute Distance To: Compute Author ID: hessami-pilehrood.khodabakhsh Published as: Hessami Pilehrood, Kh.; Hessami Pilehrood, Khodabakhsh; Khessami Pilerud, Kh.; Pilehrood, Kh. Hessami; Hessami Pilerood, H. Homepage: http://math.ipm.ac.ir/hessami/pubk.html External Links: MGP · ResearchGate Documents Indexed: 39 Publications since 1999 Reviewing Activity: 28 Reviews Co-Authors: 6 Co-Authors with 36 Joint Publications 157 Co-Co-Authors all top 5 Co-Authors 3 single-authored 35 Hessami Pilehrood, Tatiana 4 Tauraso, Roberto 1 Dilcher, Karl 1 Garaev, Moubariz Z. 1 Zhao, Jianqiang 1 Zudilin, Wadim all top 5 Serials 4 Mathematical Notes 3 Moscow University Mathematics Bulletin 3 Journal of Number Theory 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Mathematical Analysis and Applications 2 Mathematische Zeitschrift 2 The Electronic Journal of Combinatorics 2 Discrete Mathematics and Theoretical Computer Science. DMTCS 2 Journal of Integer Sequences 2 Chebyshevskiĭ Sbornik 1 Acta Arithmetica 1 Monatshefte für Mathematik 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Journal of Symbolic Computation 1 Indagationes Mathematicae. New Series 1 Journal de Théorie des Nombres de Bordeaux 1 Journal of Difference Equations and Applications 1 Fundamental’naya i Prikladnaya Matematika 1 The Ramanujan Journal 1 Mathematical Inequalities & Applications 1 Integers 1 Journal of the Australian Mathematical Society 1 International Journal of Number Theory 1 Communications in Number Theory and Physics all top 5 Fields 39 Number theory (11-XX) 16 Special functions (33-XX) 7 Combinatorics (05-XX) 3 Sequences, series, summability (40-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Numerical analysis (65-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 151 times in 107 Documents Cited by ▼ Year ▼ New properties of multiple harmonic sums modulo \(p\) and \(p\)-analogues of Leshchiner’s series. Zbl 1308.11018Hessami Pilehrood, Kh.; Hessami Pilehrood, T.; Tauraso, R. 31 2014 Arithmetical properties of some series with logarithmic coefficients. Zbl 1203.11052Hessami Pilehrood, Khodabakhsh; Hessami Pilehrood, Tatiana 19 2007 Vacca-type series for values of the generalized Euler constant function and its derivative. Zbl 1203.11087Hessami Pilehrood, Khodabakhsh; Hessami Pilehrood, Tatiana 10 2010 On a continued fraction expansion for Euler’s constant. Zbl 1275.11103Hessami Pilehrood, Kh.; Hessami Pilehrood, T. 9 2013 Congruences concerning Jacobi polynomials and Apéry-like formulae. Zbl 1261.11001Hessami Pilehrood, Kh.; Hessami Pilehrood, T.; Tauraso, R. 7 2012 Congruences arising from Apéry-type series for zeta values. Zbl 1293.11030Hessami Pilehrood, Kh.; Hessami Pilehrood, T. 7 2012 On \(q\)-analogues of two-one formulas for multiple harmonic sums and multiple zeta star values. Zbl 1391.11103Hessami Pilehrood, Khodabakhsh; Hessami Pilehrood, Tatiana 7 2015 Criteria for irrationality of generalized Euler’s constant. Zbl 1155.11334Hessami Pilehrood, T.; Hessami Pilehrood, Kh. 6 2004 On \(q\)-analogues of double Euler sums. Zbl 1379.11017Dilcher, K.; Hessami Pilehrood, Kh.; Hessami Pilehrood, T. 6 2014 On \(q\)-analogs of some families of multiple harmonic sums and multiple zeta star value identities. Zbl 1404.42058Pilehrood, Kh. Hessami; Pilehrood, T. Hessami; Zhao, Jianqiang 6 2016 Bivariate identities for values of the Hurwitz zeta function and supercongruences. Zbl 1242.33027Hessami Pilehrood, Kh.; Hessami Pilehrood, T. 5 2011 Simultaneous generation for zeta values by the Markov-WZ method. Zbl 1219.11122Hessami Pilehrood, Khodabakhsh; Hessami Pilehrood, Tatiana 5 2008 An alternative proof of a theorem of Zagier. Zbl 1420.11119Hessami Pilehrood, Kh.; Hessami Pilehrood, T. 5 2017 Series acceleration formulae for beta values. Zbl 1250.05018Hessami Pilehrood, Khodabakhsh; Hessami Pilehrood, Tatiana 4 2010 Infinite sums as linear combinations of polygamma functions. Zbl 1132.11037Hessami Pilehrood, Kh.; Hessami Pilehrood, T. 4 2007 Irrationality of the sums of zeta values. Zbl 1112.11035Hessami Pilehrood, T.; Hessami Pilehrood, Kh. 3 2006 Rational approximations for the quotient of gamma values. Zbl 1217.41016Hessami Pilehrood, Kh.; Hessami Pilehrood, T. 3 2009 A \(q\)-analogue of the Bailey-Borwein-Bradley identity. Zbl 1254.11023Hessami Pilehrood, Kh.; Hessami Pilehrood, T. 3 2011 Generating function identities for \(\zeta (2n+2)\), \(\zeta (2n+3)\) via the WZ method. Zbl 1219.11121Hessami Pilehrood, Kh.; Hessami Pilehrood, T. 3 2008 Rational approximations to values of the digamma function and a conjecture on denominators. Zbl 1282.11076Hessami Pilehrood, T.; Hessami Pilehrood, Kh. 2 2011 Multiple harmonic sums and multiple harmonic star sums are (nearly) never integers. Zbl 1412.11063Hessami Pilehrood, Khodabakhsh; Hessami Pilehrood, Tatiana; Tauraso, Roberto 1 2017 Rational approximations to values of Bell polynomials at points involving Euler’s constant and zeta values. Zbl 1251.11050Hessami Pilehrood, Kh.; Hessami Pilehrood, T. 1 2012 Approximations to Euler’s constant. Zbl 1203.11086Hessami Pilehrood, Kh.; Hessami Pilehrood, T. 1 2010 On the Mordell Diophantine equation. Zbl 1141.11018Khessami Pilerud, Kh.; Khessami Pilerud, T. 1 2004 Some \(q\)-congruences for homogeneous and quasi-homogeneous multiple \(q\)-harmonic sums. Zbl 1435.11038Hessami Pilehrood, Kh.; Hessami Pilehrood, T.; Tauraso, R. 1 2017 On conditional irrationality measures for values of the digamma function. Zbl 1110.11021Hessami Pilehrood, Kh.; Hessami Pilehrood, T. 1 2007 An alternative proof of a theorem of Zagier. Zbl 1420.11119Hessami Pilehrood, Kh.; Hessami Pilehrood, T. 5 2017 Multiple harmonic sums and multiple harmonic star sums are (nearly) never integers. Zbl 1412.11063Hessami Pilehrood, Khodabakhsh; Hessami Pilehrood, Tatiana; Tauraso, Roberto 1 2017 Some \(q\)-congruences for homogeneous and quasi-homogeneous multiple \(q\)-harmonic sums. Zbl 1435.11038Hessami Pilehrood, Kh.; Hessami Pilehrood, T.; Tauraso, R. 1 2017 On \(q\)-analogs of some families of multiple harmonic sums and multiple zeta star value identities. Zbl 1404.42058Pilehrood, Kh. Hessami; Pilehrood, T. Hessami; Zhao, Jianqiang 6 2016 On \(q\)-analogues of two-one formulas for multiple harmonic sums and multiple zeta star values. Zbl 1391.11103Hessami Pilehrood, Khodabakhsh; Hessami Pilehrood, Tatiana 7 2015 New properties of multiple harmonic sums modulo \(p\) and \(p\)-analogues of Leshchiner’s series. Zbl 1308.11018Hessami Pilehrood, Kh.; Hessami Pilehrood, T.; Tauraso, R. 31 2014 On \(q\)-analogues of double Euler sums. Zbl 1379.11017Dilcher, K.; Hessami Pilehrood, Kh.; Hessami Pilehrood, T. 6 2014 On a continued fraction expansion for Euler’s constant. Zbl 1275.11103Hessami Pilehrood, Kh.; Hessami Pilehrood, T. 9 2013 Congruences concerning Jacobi polynomials and Apéry-like formulae. Zbl 1261.11001Hessami Pilehrood, Kh.; Hessami Pilehrood, T.; Tauraso, R. 7 2012 Congruences arising from Apéry-type series for zeta values. Zbl 1293.11030Hessami Pilehrood, Kh.; Hessami Pilehrood, T. 7 2012 Rational approximations to values of Bell polynomials at points involving Euler’s constant and zeta values. Zbl 1251.11050Hessami Pilehrood, Kh.; Hessami Pilehrood, T. 1 2012 Bivariate identities for values of the Hurwitz zeta function and supercongruences. Zbl 1242.33027Hessami Pilehrood, Kh.; Hessami Pilehrood, T. 5 2011 A \(q\)-analogue of the Bailey-Borwein-Bradley identity. Zbl 1254.11023Hessami Pilehrood, Kh.; Hessami Pilehrood, T. 3 2011 Rational approximations to values of the digamma function and a conjecture on denominators. Zbl 1282.11076Hessami Pilehrood, T.; Hessami Pilehrood, Kh. 2 2011 Vacca-type series for values of the generalized Euler constant function and its derivative. Zbl 1203.11087Hessami Pilehrood, Khodabakhsh; Hessami Pilehrood, Tatiana 10 2010 Series acceleration formulae for beta values. Zbl 1250.05018Hessami Pilehrood, Khodabakhsh; Hessami Pilehrood, Tatiana 4 2010 Approximations to Euler’s constant. Zbl 1203.11086Hessami Pilehrood, Kh.; Hessami Pilehrood, T. 1 2010 Rational approximations for the quotient of gamma values. Zbl 1217.41016Hessami Pilehrood, Kh.; Hessami Pilehrood, T. 3 2009 Simultaneous generation for zeta values by the Markov-WZ method. Zbl 1219.11122Hessami Pilehrood, Khodabakhsh; Hessami Pilehrood, Tatiana 5 2008 Generating function identities for \(\zeta (2n+2)\), \(\zeta (2n+3)\) via the WZ method. Zbl 1219.11121Hessami Pilehrood, Kh.; Hessami Pilehrood, T. 3 2008 Arithmetical properties of some series with logarithmic coefficients. Zbl 1203.11052Hessami Pilehrood, Khodabakhsh; Hessami Pilehrood, Tatiana 19 2007 Infinite sums as linear combinations of polygamma functions. Zbl 1132.11037Hessami Pilehrood, Kh.; Hessami Pilehrood, T. 4 2007 On conditional irrationality measures for values of the digamma function. Zbl 1110.11021Hessami Pilehrood, Kh.; Hessami Pilehrood, T. 1 2007 Irrationality of the sums of zeta values. Zbl 1112.11035Hessami Pilehrood, T.; Hessami Pilehrood, Kh. 3 2006 Criteria for irrationality of generalized Euler’s constant. Zbl 1155.11334Hessami Pilehrood, T.; Hessami Pilehrood, Kh. 6 2004 On the Mordell Diophantine equation. Zbl 1141.11018Khessami Pilerud, Kh.; Khessami Pilerud, T. 1 2004 all cited Publications top 5 cited Publications all top 5 Cited by 90 Authors 17 Xu, Ce 14 Hessami Pilehrood, Khodabakhsh 14 Hessami Pilehrood, Tatiana 7 Tauraso, Roberto 4 Adell, José Antonio 4 Lekuona, Alberto 3 Blagouchine, Iaroslav V. 3 Chen, Chaoping 3 Karatsuba, Ekaterina Anatol’evna 3 Saha, Ekata 2 Alkan, Emre 2 Allouche, Jean-Paul Simon 2 Chen, Dirong 2 Elsner, Carsten 2 Fischler, Stéphane 2 Gun, Sanoli 2 Krattenthaler, Christian Friedrich 2 Lalín, Matilde Noemí 2 Lu, Dawei 2 Mao, Guo-Shuai 2 Mattarei, Sandro 2 Murty, Maruti Ram 2 Seki, Shin-ichiro 2 Sondow, Jonathan D. 2 Sun, Zhi-Wei 2 Wang, Chen 2 Xu, Aimin 2 You, Xu 1 Akhilesh, P. 1 Alzer, Horst 1 Basak, Debmalya 1 Batir, Necdet 1 Cai, Yulin 1 Chatterjee, Tapas 1 Chen, Shaoshi 1 Choi, Junesang 1 Coppo, Marc-Antoine 1 Degré-Pelletier, Nicolas 1 Dilcher, Karl 1 Genčev, Marian 1 Göral, Haydar 1 Guo, Victor J. W. 1 Han, Xuefeng 1 Hou, Qinghu 1 Huang, Shouyou 1 Khurana, Suraj Singh 1 Koparal, Sibel 1 Kwon, DoYong 1 Lagarias, Jeffrey C. 1 Lampret, Vito 1 Li, Zhong-Hua 1 Lin, XianZu 1 Ma, Xuesi 1 McCoy, Megan 1 Mortici, Cristinel 1 Murahara, Hideki 1 Murty, Vijaya Kumar 1 Nesterenko, Yuriĭ Valentinovich 1 Omur, Nese 1 Onozuka, Tomokazu 1 Oyama, Kojiro 1 Paris, Richard Bruce 1 Prévost, Marc 1 Prodinger, Helmut 1 Rivoal, Tanguy 1 Rogers, Mathew D. 1 Rosen, Julian 1 Sakugawa, Kenji 1 Saradha, N. 1 Schlosser, Michael J. 1 Sertbaş, Doğa Can 1 Si, Xin 1 Sinha, Sneh Bala 1 Sîntămărian, Alina 1 Song, Zexi 1 Tang, Hanqi 1 Teo, Lee-Peng 1 Thielen, Kevin 1 Topçu, Hatice 1 Wang, Liuquan 1 Wang, Xiaoguang 1 Xu, Ruiqing 1 Yu, Han 1 Żelazko, Wiesław 1 Zhang, Jichao 1 Zhang, Mingyu 1 Zhao, Jianqiang 1 Zhu, Weixia 1 Zlobin, Sergey 1 Zudilin, Wadim all top 5 Cited in 55 Serials 19 Journal of Number Theory 7 Journal of Mathematical Analysis and Applications 5 Journal of Inequalities and Applications 4 International Journal of Number Theory 3 Problems of Information Transmission 3 Monatshefte für Mathematik 3 Results in Mathematics 3 Journal of Difference Equations and Applications 3 The Ramanujan Journal 2 Acta Arithmetica 2 Functiones et Approximatio. Commentarii Mathematici 2 Advances in Applied Mathematics 2 Journal of Symbolic Computation 2 Journal of the Ramanujan Mathematical Society 2 Journal de Théorie des Nombres de Bordeaux 2 Kyushu Journal of Mathematics 2 The Electronic Journal of Combinatorics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Electronic Research Archive 1 American Mathematical Monthly 1 Bulletin of the Australian Mathematical Society 1 International Journal of Mathematical Education in Science and Technology 1 Israel Journal of Mathematics 1 Lithuanian Mathematical Journal 1 Periodica Mathematica Hungarica 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Colloquium Mathematicum 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Algebra 1 Journal of Computational and Applied Mathematics 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Numerical Algorithms 1 Bulletin of the American Mathematical Society. New Series 1 Indagationes Mathematicae. New Series 1 Integers 1 Journal of the Australian Mathematical Society 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Proceedings of the Steklov Institute of Mathematics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Journal of Mathematical Inequalities 1 Applicable Analysis and Discrete Mathematics 1 Journal of Applied Mathematics & Informatics 1 Journal de l’École Polytechnique – Mathématiques all top 5 Cited in 18 Fields 95 Number theory (11-XX) 34 Special functions (33-XX) 23 Combinatorics (05-XX) 17 Sequences, series, summability (40-XX) 14 Approximations and expansions (41-XX) 12 Numerical analysis (65-XX) 11 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Mathematics education (97-XX) Citations by Year