Khodabakhsh Hessami Pilehrood

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All published works

Action	Title	Year	Authors
+ PDF Chat	On 3-2-1 values of finite multiple harmonic $q$-series at roots of unity	2021	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood Roberto Tauraso
+	On $3-2-1$ values of finite multiple harmonic $q$-series at roots of unity	2021	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood Roberto Tauraso
+	On $3-2-1$ values of finite multiple harmonic $q$-series at roots of unity	2021	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood Roberto Tauraso
+ PDF Chat	Generating functions for multiple zeta star values	2019	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+	Generating functions for multiple zeta star values	2018	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+	Generating functions for multiple zeta star values	2018	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+	Multiple zeta star values on 3-2-1 indices	2018	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+	Multiple harmonic sums and multiple harmonic star sums are (nearly) never integers	2017	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood Roberto Tauraso
+	Multiple harmonic sums and multiple harmonic star sums are (nearly) never integers	2016	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood Roberto Tauraso
+	Multiple harmonic sums and multiple harmonic star sums are (nearly) never integers	2016	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood Roberto Tauraso
+	Jacobi polynomials and congruences involving some higher-order Catalan numbers and binomial coefficients	2015	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+	Jacobi polynomials and congruences involving some higher-order Catalan numbers and binomial coefficients	2015	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+	On $$q$$ q -analogues of two-one formulas for multiple harmonic sums and multiple zeta star values	2014	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+	Some $q$-congruences for homogeneous and quasi-homogeneous multiple $q$-harmonic sums	2014	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood Roberto Tauraso
+	Some $q$-congruences for homogeneous and quasi-homogeneous multiple $q$-harmonic sums	2014	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood Roberto Tauraso
+	On $q$-analogues of two-one formulas for multiple harmonic sums and multiple zeta star values	2013	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+	On $q$-Analogs of Some Families of Multiple Harmonic Sum and Multiple Zeta Star Value Identities	2013	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood Jianqiang Zhao
+	On $q$-analogues of two-one formulas for multiple harmonic sums and multiple zeta star values	2013	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+	New properties of multiple harmonic sums modulo $p$ and $p$-analogues of Leshchiner's series	2012	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood Roberto Tauraso
+	New properties of multiple harmonic sums modulo $p$ and $p$-analogues of Leshchiner's series	2012	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood Roberto Tauraso
+	Congruences concerning Jacobi polynomials	2011	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+	Bivariate identities for values of the Hurwitz zeta function and supercongruences	2011	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+ PDF Chat	Рациональные приближения значений дигамма-функции и гипотеза о знаменателях	2011	Татьяна Г Хессами Пилеруд Tatiana Hessami Pilehrood Ходабахш Хессами Пилеруд Khodabakhsh Hessami Pilehrood
+	Bivariate identities for values of the Hurwitz zeta function and supercongruences	2011	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+	Rational approximations to values of Bell polynomials at points involving Euler's constant and zeta values	2010	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+	On a continued fraction expansion for Euler's constant	2010	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+	Rational approximations for the quotient of gamma values	2010	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+ PDF Chat	Series acceleration formulas for beta values	2010	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+	Rational approximations for values of the digamma function and a denominators conjecture	2010	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+	Vacca-Type Series for Values of the Generalized Euler Constant Function and its Derivative	2010	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+	On a continued fraction expansion for Euler's constant	2010	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+	Rational approximations to values of Bell polynomials at points involving Euler's constant and zeta values	2010	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+	Rational approximations for the quotient of gamma values	2010	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+	A $q$-analog of the Bailey-Borwein-Bradley identity	2009	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+	Vacca-type series for values of the generalized-Euler-constant function and its derivative	2008	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+	Generating Function Identities for ζ(2n+2), ζ(2n+3) via the WZ Method.	2008	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+ PDF Chat	Simultaneous generation for zeta values by the Markov-WZ method	2008	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+ PDF Chat	Об одной гипотезе Эрдеша	2008	Татьяна Г Хессами Пилеруд Tatiana Hessami Pilehrood Ходабахш Хессами Пилеруд Khodabakhsh Hessami Pilehrood
+	Vacca-type series for values of the generalized-Euler-constant function and its derivative	2008	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+	Arithmetical properties of some series with logarithmic coefficients	2006	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+ PDF Chat	Irrationality of certain numbers that contain values of the di- and trilogarithm	2006	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood Wadim Zudilin

Common Coauthors

Coauthor	Papers Together
Tatiana Hessami Pilehrood	41
Roberto Tauraso	10
Татьяна Г Хессами Пилеруд	2
Ходабахш Хессами Пилеруд	2
Jianqiang Zhao	1
Wadim Zudilin	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Some new identities for ζ(k)	1981	Dmitry Leshchiner	6
+	New properties of multiple harmonic sums modulo 𝑝 and 𝑝-analogues of Leshchiner’s series	2013	Kh. Hessami Pilehrood Tatiana Hessami Pilehrood Roberto Tauraso	5
+ PDF Chat	Hypergeometric Series Acceleration Via the WZ method	1996	Tewodros Amdeberhan Doron Zeilberger	5
+	The Algebra of Multiple Harmonic Series	1997	Michael E. Hoffman	4
+ PDF Chat	Infinite families of accelerated series for some classical constants by the Markov-WZ Method	2005	Mohamud Mohammed	4
+ PDF Chat	The Markov-WZ Method	2004	Mohamud Mohammed Doron Zeilberger	4
+ PDF Chat	Rational approximations for values of derivatives of the Gamma function	2009	Tanguy Rivoal	4
+ PDF Chat	Multiple q-zeta functions and multiple q-polylogarithms	2007	Jianqiang Zhao	3
+	Borwein and Bradley's Apérv-Like Formulae for ζ(4n + 3)	1999	Gert Almkvist Andrew Granville	3
+	A Classical Introduction to Modern Number Theory	1982	Kenneth Ireland Michael Rosen	3
+ PDF Chat	Evaluation of the multiple zeta values zeta(2,...,2,3,2,...,2)	2012	Don Zagier	3
+	New Vacca-Type Rational Series for Euler’s Constant γ and Its “Alternating” Analog $$\ln \frac{4}{\pi }$$	2010	Jonathan Sondow	3
+ PDF Chat	Euler Sums and Contour Integral Representations	1998	Philippe Flajolet Bruno Salvy	3
+ PDF Chat	Simultaneous Generation of Koecher and Almkvist-Granville's Apéry-Like Formulae	2004	Tanguy Rivoal	3
+	On $q$-Analogs of Some Families of Multiple Harmonic Sum and Multiple Zeta Star Value Identities	2013	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood Jianqiang Zhao	3
+	The Special Functions and Their Approximations	1972	C. W. Clenshaw Yudell L. Luke	3
+	Multiple q-zeta values	2004	David M. Bradley	3
+	Experimental Determination of Apéry-like Identities for ς(2n + 2)	2006	David H. Bailey Jonathan M. Borwein David M. Bradley	3
+	WOLSTENHOLME TYPE THEOREM FOR MULTIPLE HARMONIC SUMS	2008	Jianqiang Zhao	3
+ PDF Chat	Multiple harmonic series	1992	Michael E. Hoffman	3
+	Algebraic Aspects of Multiple Zeta Values	2008	Michael E. Hoffman	3
+ PDF Chat	Cyclic sum of multiple zeta values	2006	Yasuo Ohno Noriko Wakabayashi	3
+	Criteria for irrationality of Euler’s constant	2003	Jonathan Sondow	2
+	An alternative proof of a theorem of Zagier	2016	Kh. Hessami Pilehrood Tatiana Hessami Pilehrood	2
+	Empirically Determined Apéry-Like Formulae for ζ(4n+3)	1997	Jonathan M. Borwein David M. Bradley	2
+	On Congruences Involving Bernoulli Numbers and the Quotients of Fermat and Wilson	1938	Emma Lehmer	2
+	On certain properties of prime numbers	1851	Frederick Pollock	2
+	Special values of multiple polylogarithms	2000	Jonathan M. Borwein David M. Bradley D.J. Broadhurst Petr Lisoněk	2
+ PDF Chat	Simultaneous generation for zeta values by the Markov-WZ method	2008	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood	2
+ PDF Chat	Multiple orthogonal polynomials for classical weights	2003	Alexander Ivanovich Aptekarev Amílcar Branquinho Walter Van Assche	2
+	Congruences concerning Bernoulli numbers and Bernoulli polynomials	2000	Zhi-Hong Sun	2
+	Sur la constante d'Euler et la fonction de Binet	1875	Eugène Catalan	2
+ PDF Chat	Special values of finite multiple harmonic $q$-series at roots of unity	2020	Henrik Bachmann Yoshihiro Takeyama Koji Tasaka	2
+ PDF Chat	The generalized-Euler-constant function <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>γ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>z</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> and a generalization of Somos's quadratic recurrence constant	2006	Jonathan Sondow Petros Hadjicostas	2
+	Rational approximations for values of the digamma function and a denominators conjecture	2010	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood	2
+	Sums of digits and the Hurwitz zeta function	1990	Jean‐Paul Allouche Jeffrey Shallit	2
+	A new proof of the irrationality of ζ(2) and ζ(3) using Padé approximants	1996	Marc Prévost	2
+ PDF Chat	Cyclic q-MZSV sum	2011	Yasuo Ohno Jun-ichi Okuda Wadim Zudilin	2
+	A system of recurrence relations for rational approximations of the Euler constant	2009	D. N. Tulyakov	2
+	Generating Function Identities for ζ(2n+2), ζ(2n+3) via the WZ Method.	2008	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood	2
+	Some q-series identities related to divisor functions	1995	Karl Dilcher	2
+ PDF Chat	Summation of series defined by counting blocks of digits	2006	Jean‐Paul Allouche Jeffrey Shallit Jonathan Sondow	2
+	A Series Representation for Euler's Constant	1967	A. W. Addison	2
+	Values of Zeta Functions and Their Applications	1994	Don Zagier	2
+ PDF Chat	QUASI-SYMMETRIC FUNCTIONS AND MOD <b><i>p </i></b>MULTIPLE HARMONIC SUMS	2015	Michael E. Hoffman	2
+	Approximations rationnelles des valeurs de la fonction Gamma aux rationnels	2009	Tanguy Rivoal	2
+	A Proof that Euler Missed …	2000	Alfred van der Poorten	2
+	Identity Families of Multiple Harmonic Sums and Multiple Zeta (Star) Values	2013	Jianqiang Zhao	2
+ PDF Chat	Multi-variable Zeilberger and Almkvist–Zeilberger algorithms and the sharpening of Wilf–Zeilberger theory	2006	Moa Apagodu Doron Zeilberger	2
+ PDF Chat	Multiple zeta star values on 3–2–1 indices	2022	Kh. Hessami Pilehrood Tatiana Hessami Pilehrood	2