I am Sergey Zlobin. I received a Ph.D. in mathematics from Moscow State University in 2005.
You can contact me by e-mail at sirg_zlobin@please.no-spam.mail.ru (the obvious anti-spam phrase should be removed!).

See also Russian version of this page

  • Thesis for the Degree of Doctor of Philosophy in Physics and Mathematics

  • My papers
    1. Integrals that can be represented as linear forms of generalized polylogarithms. (Russian, English) // Math. Notes 71, No.5, 711-716 (2002); translation from Mat. Zametki 71, No.5, 782-787 (2002).
      Zentralblatt review
      Russian version, ps
      Russian version, pdf
    2. On some integral identities. (Russian, English) // Russ. Math. Surv. 57, No.3, 617-618 (2002); translation from Usp. Mat. Nauk 57, No.3, 153-154 (2002).
      Zentralblatt review
      Russian version, ps
      Russian version, pdf (created from ps file)
    3. Decompositions of multiple integrals into linear forms // Doklady Mathematics Vol. 70, No.2, 758-761 (2004); translation from Doklady Akademii Nauk, Volume 398, No.5, 595--598 (2004).
      Russian version (Preprint), ps
      Russian version (Preprint), pdf
      English version, pdf
    4. Generating functions for the values of a multiple zeta-function // (Russian, English) Vestn. Mosk. Univ., Ser.I 2005, No. 2, 55-59 (2005); translation in Mosc. Univ. Math. Bull. 60, No. 2, 44-48 (2005)
      Zentralblatt review
      Russian version (Preprint), ps
      Russian version (Preprint), pdf (created from ps file)
    5. Expansion of multiple integrals in linear forms. (English) // Math. Notes 77, No.5, 630-652 (2005); translation from Mat. Zametki 77, No.5, 683-706 (2005).
      Zentralblatt review
      Russian version, ps
      Russian version, pdf
    6. Properties of coefficients of certain linear forms in generalized polylogarithms // J. Math. Sci., New York 146, No. 2, 5655-5668 (2007); translation from Fundam. Prikl. Mat. 11, No. 6, 41-58 (2005).
      Abstract
      Zentralblatt review
      Russian version, pdf
      English version (E-print math.NT/0511245)
    7. Rhin integrals // (English. Russian original) Math. Notes 81, No. 2, 201-212 (2007); translation from Mat. Zametki 81, No. 2, 226-239 (2006).
      Zentralblatt review
      Russian version, pdf
    8. (with J. Sondow) Integrals Over Polytopes, Multiple Zeta Values and Polylogarithms, and Euler's Constant // (English, original) Math. Notes 84, No. 4, 568-583 (2008); (Russian, translation) Mat. Zametki 84, No.4, 609626 (2008).
      Russian version, pdf
      English version (E-print 0705.0732)
    9. Special Values of Generalized Polylogarithms // to appear in proceedings of the conference "Diophantine and Analytic Problems in Number Theory", (Moscow, January 2007).
      English version (E-print 0712.1656)

    10. Relations for multiple zeta values // (English. Russian original) Math. Notes 84, No. 6, 751-762 (2008); translation from Mat. Zametki 84, No. 6, 825-837 (2008).
      Russian version, pdf

  • Participation in papers by others
    1. Sondow J., A Faster Product for Pi and a New Integral for ln(Pi/2) // Amer. Math. Monthly 112 (2005), 729-734.
      Preprint
      Idea for one of the proofs.
    2. Sondow J., A Hypergeometric Approach, Via Linear Forms Involving Logarithms, to Irrationality Criteria for Euler's Constant.
      Preprint
      Appendix.


  • Some notes (not for publishing)
    1. On a Certain Integral Over a Triangle. It became the part of the joint paper with J. Sondow. See the paper #8.
    2. A Note on Arithmetical Properties of Multiple Zeta Values.
    3. Beautiful formulas (a list of my favourite formulas).
    4. Generalizations of Guillera-Sondow's double integral formulas.


    Started on October 21, 2005.
    Last modified on December 8, 2008.