shahrekord university- Academic staff

Educations - Work Experiences - teaching - Membership -

Khodabakhsh Hessami Pilehrood

Associate Professor
Mathematics Department

Personal Details

Name: Khodabakhsh
Surname: Hessami Pilehrood
Nationality: Iranian
Date of Birth: 1965
Place of Birth: Ardebil, Iran
Email Addresses: hessamik@ipm.ir

hessamik@gmail.com

Educations

2000: Ph. D. in Mathematics. Moscow State University (MSU) (Moscow, Russia).

1997: Master of Science in Math . Moscow State University (MSU) (Moscow, Russia).

1993: Bachelor of Science in Math . Ahwaz Shahid Chamran University (Ahwaz, Iran ).

Research interests

• Number theory in general, diophantine equations, diophantine approximations;

• Transcendental number theory, linear independence and irrationality of numbers;

• Measures of irrationality and transcendence, hypergeometric functions;

• Polylogarithmic functions, Riemann zeta function, multiple zeta values;

• Pade approximations, number-theoretic remarkable constants;

• General topology.

Work Experiences

[1] Moscow State University (MSU), Moscow, Russia: Post-Doctoral position (2000 – 2001).

[2] Shahrekord University: Assistant Professor (September, 2001- January, 2008).

[3] Shahrekord University: Associate Professor (January, 2008 - present).

[4] Vice-Dean of the Faculty of Science (September, 2004- October, 2005).

[5] Dean of the Faculty of Science (October, 2007 - October, 2010).

[6] Institute for Research in Fundamental Sciences (IPM), Tehran: Associate Researcher (2002 - 2003, 2004 – 2009, 2010 - present).

[7] Research Institute for Fundamental Sciences, Tabriz: Research position (2003 – 2004).

[8] The Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy: Short-Term Visitor (7 July, 2007 - 7 September, 2007).

[9] Honorary Researcher of Chahar Mahal & Bakhtiary Province of Iran (2006).

[10] Max-Planck-Institute for Mathematics (MPI), Bonn, Germany: Short-Term Visitor (1 July, 2008 - 31 August, 2008).

[11] Institut des Hautes Etudes Scientifiques (IHES), Bures-sur-Yvette, France: Short-Term Visitor (1 July, 2009 - 31 August, 2009).

[12] The Abdus Salam International Center for Theoretical Physics (ICTP), Trieste, Italy: Short - Term Visitor (15 June, 2010 - 31 August, 2010).

[13] The Abdus Salam International Center for Theoretical Physics (ICTP), Trieste, Italy: Short - Term Visitor (23 June, 2011 - 19 September, 2011).

[14] Senior Associateship of the Abdus Salam International Center for Theoretical Physics (ICTP), (2011 - 2016).

Teaching

• Shahrekord University (2001 - present):

[1] Mathematical Analysis 1, Mathematics Department.

[2] Mathematical Analysis 2, Mathematics Department.

[3] General Topology, Mathematics Department.

[4] Non-Euclidean Geometry, Mathematics Department.

[5] Number Theory, Mathematics Department.

[6] Real Analysis 1, Mathematics Department.

[7] Algebraic Number Theory, Mathematics Department.

[8] Algebraic Topology, Mathematics Department.

Membership in Societies etc

[1] Iranian Mathematical Society (IMS).

[2] American Mathematical Society (AMS).

[3] Mathematical Association of America (MAA).

[4] Reviewer for the Mathematical Review of the AMS.

[5] Reviewer of Zentralblatt MATH.

[6] TWOWS.

[7] Iranian Physical Society (IPS).

Publications in refereed journals

(check also my list of publications in Mathematical Reviews and Zentralblatt).

[1] Kh. Hessami Pilehrood. On the Diophantine equation $x^2- Ny^2=-1$, Moscow University Math. Bull. Ser.1, (1999), no.2, pp.65-67. Springer link

[2] M. Z. Garaev, Kh. Hessami Pilehrood. A note on a system of Pell's equations, Fundam. Prikl. Mat. V.5, (1999), no. 3, pp. 927-930. ps (Russian), Journal link Springer link

[3] Kh. Hessami Pilehrood. On the Diophantine equation $ax^3+bx^2+cx+dy+e=fxyz$, Moscow University Math. Bull. Ser. 1, (2000), no. 1, pp. 50-51. Springer link

[4] Kh. Hessami Pilehrood. On the Diophantine equation $X^3+Y^3=PQZ^3$, Moscow University Math. Bull. Ser. 1, (2001), no. 1, pp.19-22. Springer link

[5] T. Hessami Pilehrood, Kh. Hessami Pilehrood. Criteria for irrationality of generalized Euler's constant, J. Number Theory, (2004), V.108, no.1, p.169-185. Elsevier link

[6] Kh. Hessami Pilehrood, T. Hessami Pilehrood. On Mordell diophantine equation pdf (Russian), Chebyshevskii sbornik, (2004), V.5, no. 2 (10), p.167-171.

[7] Kh. Hessami Pilehrood, T. Hessami Pilehrood. On the diophantine equation $x^2+3=py^{p-1},$ pdf (Russian), Chebyshevskii Sbornik, (2004), V.5, no. 4 (12), p.118-124.

[8] T. Hessami Pilehrood, Kh. Hessami Pilehrood. Lower bounds for linear forms in values of polylogarithms, Mat. Zametki, (2005), V.77, no. 4, p.623-629; English transl.: Math. Notes, (2005), V.77, no. 4, p.573-579. pdf (English), ps (Russian). Springer link

[9] Kh. Hessami Pilehrood, T. Hessami Pilehrood. On the diophantine equation $x^2+3=py^n,$ Indian J. Pure Appl. Math. V.36 (2005), no.8, p.431-439.

[10] Kh. Hessami Pilehrood, T. Hessami Pilehrood. On sums of two rational cubes, Indian J. Pure Appl. Math. V. 36 (2005), no.12, p.707-717.

[11] T. Hessami Pilehrood, Kh. Hessami Pilehrood. Irrationality of the sums of zeta values, Mat. Zametki, V.79 (2006), no.4, p.607-618; English transl.: Math. Notes, V.79 (2006), no.4, p.561-571. pdf (English), ps (Russian), Springer link

[12] Kh. Hessami Pilehrood, T. Hessami Pilehrood, W.Zudilin. Irrationality of certain numbers that contain values of the di- and trilogarithm, Math. Zeitschrift, V. 254 (2006), no.2, p.299-313. Springer link

[13] Kh. Hessami Pilehrood, T. Hessami Pilehrood. Arithmetical properties of some series with logarithmic coefficients, Math. Zeitschrift, V. 255 (2007), no.1, p.117-131. Springer link

[14] Kh. Hessami Pilehrood, T. Hessami Pilehrood. On conditional irrationality measures for values of the digamma function, J. Number Theory, V. 123 (2007), no.1, p.241-253. Elsevier link

[15] Kh. Hessami Pilehrood, T. Hessami Pilehrood. Infinite sums as linear combinations of polygamma functions, Acta Arithmetica. 130, No. 3, 231-254 (2007). pdf ps

[16] Kh. Hessami Pilehrood, T. Hessami Pilehrood. On a conjecture of Erdos, Mat. Zametki, (2008), V.83, no. 2, p.312-315; English transl.: Math. Notes, (2008), V.83, no. 2, p.281-284. pdf (English), ps (Russian), Springer link

[17] Kh. Hessami Pilehrood, T. Hessami Pilehrood. Generating function identities for $\zeta(2n+2), \zeta(2n+3)$ via the WZ metod, The Electronic Journal of Combinatorics. 15 (2008), no. 1, #R35, p.1-9. pdf

[18] Kh. Hessami Pilehrood, T. Hessami Pilehrood. An Apery-like continued fraction for $\pi\coth\pi,$ Journal of Difference Equations and Applications, 14 (2008), no. 12, p. 1279-1287. (Publisher Taylor & Francis)

[19] Kh. Hessami Pilehrood, T. Hessami Pilehrood. Simultaneous generation for zeta values by the Markov-WZ method, Discrete Mathematics and Theoretical Computer Science (DMTCS), vol. 10:3, (2008), 115-124. pdf arXiv:0801.3310[math.CO].

[20] Kh. Hessami Pilehrood, T. Hessami Pilehrood. Vacca-type series for values of the generalized- Euler-constant function and its derivative, J. Integer Sequences, 13 (2010), Article 10.7.3. arXiv:0808.0410[math.NT].

[21] Kh. Hessami Pilehrood, T. Hessami Pilehrood. Series acceleration formulas for beta values, Discrete Math. and Theoretical Computer Science (DMTCS), vol. 12:2 (2010), 223-236.

[22] Kh. Hessami Pilehrood, T. Hessami Pilehrood. Approximations to Euler's constant, Math. Ineq. and Appl. 13 (2010), no. 4, 761-773. arXiv:0708.2771[math.NT].

[23] Kh. Hessami Pilehrood, T. Hessami Pilehrood. A q-analogue of the Bailey-Borwein-Bradley identity, accepted for publication, to appear in J. Symbolic Computation (Elsevier); arXiv:0903.2843 [math.NT].

[24] Kh. Hessami Pilehrood, T. Hessami Pilehrood. Rational approximations for the quotient of gamma values, accepted for publication, to appear in Indagationes Mathematicae (Elsevier); arXiv:1010.0429v1[math.NT]

[25] Kh. Hessami Pilehrood, T. Hessami Pilehrood. Rational approximations for values of the digamma function and a denominators conjecture, submitted for publication. arXiv:1004.0578 [math. NT].

[26] Kh. Hessami Pilehrood, T. Hessami Pilehrood. Rational approximations to values of Bell polynomials at points involving Euler's constant and zeta values, submitted for publication.

[27] Kh. Hessami Pilehrood, T. Hessami Pilehrood. On a continued fraction expansion for Euler's constant, submitted for publication. arXiv:1010.1420 [math.NT]

Books

[1] In the book of Gashkov S. B., Chubarikov V. N. ''Arithmetica. Algoritmy. Slozhnost' vychislenii`` (''Arithmetics. Algorithms. Computing Complexity``), Moscow: Vysshaya Shkola, 2000, problems 10.55, 10.57, 10.58, 10.60 and their solutions (pp.130-136) are author's.

Proceeding papers

[1] A note on a system of Pell's equations. The 30th International Conference on Mathematics (Ardebil, Iran, September 1999).

[2] On the third-degree Diophantine equations. The 33th International Conference on Mathematics (Mashhad, Iran, September 2002).

[3] On the positive integral solutions of a third degree Diophantine equation (with T. Hessami Pilehrood). The 34th Iranian Mathematics Conference (Shahrood, Iran, September 2003).

[4] On some Diophantine inequalities involving the hypergeometric functions (with T. Hessami Pilehrood). The 34th Iranian Mathematics Conference (Shahrood, Iran, September 2003).

[5] On Mordell diophantine equation (with T. Hessami Pilehrood). Sixth International conference ``Algebra and Number Theory: Modern Problems and Applications'' dedicated to 100-year anniversary of N. G. Chudakov (Saratov State University, Saratov, Russia, September 2004).

[6] Conditional irrationality measures for generalized Euler's constant (with T. Hessami Pilehrood). XXIV Journees Arithmetiques. (Marseille, France, 4-8 July 2005).

[7] On irrationality of sums of zeta values (with T. Hessami Pilehrood). XXIV Journees Arithmetiques. (Marseille, France, 4-8 July 2005).

[8] Approximation formulas for logarithms of some infinite products (with T. Hessami Pilehrood). International Congress of Mathematicians, ICM 2006. (Madrid, Spain, 22-30 August 2006).

[9] On irrationality of certain numbers that contain values of the di- and trilogarithm (with T. Hessami Pilehrood and W. Zudilin). International Congress of Mathematicians, ICM 2006. (Madrid, Spain, 22-30 August 2006).

[10] Apery-like recursion and continued fraction for $\pi\coth\pi$ (with T. Hessami Pilehrood). Conference on Diophantine approximations, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany, 15-21 April, 2007. Report No.21/2007, p.56-58.

[11] On transcendence of certain infinite series (with T. Hessami Pilehrood). 25th Journees Arithmetiques. (University of Edinburgh and ICMS, Edinburgh, Scotland, UK, 2-6 July, 2007).

[12] On Apery-like recursion and continued fraction for $\pi\coth\pi$ (with T. Hessami Pilehrood). 25th Journees Arithmetiques. (University of Edinburgh and ICMS, Edinburgh, Scotland, UK, 2-6 July, 2007).

[13] On transcendence of certain infinite series (with T. Hessami Pilehrood). ICTP preprint no. IC20070097.The Abdus Salam International Centre for Theoretical Physics, August 2007 pdf ICTP link

[14] Approximations to Euler's constant (with T. Hessami Pilehrood). ICTP preprint no. IC20070098.The Abdus Salam International Centre for Theoretical Physics, August 2007 pdf ICTP link.

[15] Vacca-type series for values of the generalized-Euler-constant function and its derivative (with T. Hessami Pilehrood). Preprint of the Max-Plank-Institut fur MKathematik; MPIM2008-93. MPIM link.

[16] General sequence transformations for Euler's constant. International conference "Approximation and Computation 2008" dedicated to Prof. G. V. Milovanovic' on the occasion of his 60-th anniversary. University of Nis', Serbia, August 25-29, 2008.