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mzveng [2016/05/08 23:00]
Уланский Евгений Алесандрович [Course programm] 		mzveng [2016/05/12 22:35] (текущий)
Уланский Евгений Алесандрович [Multiple zeta values]
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 ======Multiple zeta values====== ======Multiple zeta values======
  
-Special course given **in English** by [[ulanskiy|E. A. Ulanskii]], one term, for students of 2-5 years. **On Wednesdays at 18:30 in 14-14 auditorium**.+Special course given **in English** by [[ulanskiy|E. A. Ulanskii]], one term, for students of 2-5 years. ​
  
 ======Abstract====== ======Abstract======
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   - Hommfan M. E. Multiple harmonic series. Pacific Journal of Mathematics. 152. No 2. 1992. 275-290.   - Hommfan M. E. Multiple harmonic series. Pacific Journal of Mathematics. 152. No 2. 1992. 275-290.
   - Hommfan M. E. The Algebra of Multiple harmonic series. Journal of Algebra. 194. No 2. 1997. 477-495.   - Hommfan M. E. The Algebra of Multiple harmonic series. Journal of Algebra. 194. No 2. 1997. 477-495.
 +  - Igarashi M. On generalizations of the sum formula for multiple zeta values. [[http://​arxiv.org/​abs/​1110.4875|arXiv/​1110.4875]],​ 2011.
   - Landen J. A New Method of Computing the Sums of Certain Series. Philosophical Transactions of the Royal Society of London. 51. 1759. 553-565.   - Landen J. A New Method of Computing the Sums of Certain Series. Philosophical Transactions of the Royal Society of London. 51. 1759. 553-565.
   - Landen J. Mathematical memoirs respecting a variety of subjects: with an appendix containing tables of theorems for the calculation of fluent. Vol. 1. 1780. London: J. Nourse.   - Landen J. Mathematical memoirs respecting a variety of subjects: with an appendix containing tables of theorems for the calculation of fluent. Vol. 1. 1780. London: J. Nourse.
   - Ohno Y. A generalization of the duality and sum formulas on the multiple zeta values. Journal of Number Theory. 74. No. 1. 1999. 39-43.   - Ohno Y. A generalization of the duality and sum formulas on the multiple zeta values. Journal of Number Theory. 74. No. 1. 1999. 39-43.
 +  - Okuda J-i., Ueno K. Relations for Multiple Zeta Values and Mellin Transforms of Multiple Polylogarithms.,​ Publ. Res. Inst. Math. Sci. 40 (2004), no. 2, 537-564.
   - Zagier D. Values of zeta functions and their applications. First European Congress of Mathematics. Birkhauser. Boston. II. 1994. 497-512.   - Zagier D. Values of zeta functions and their applications. First European Congress of Mathematics. Birkhauser. Boston. II. 1994. 497-512.
-  - Zlobin S. A Note on Arithmetical Properties of Multiple Zeta Values. ​arXiv:​math.NT/​0601151 v1 9 Jan 2006. http://​arxiv.org/​abs/​math/​0601151+  - Zlobin S. A Note on Arithmetical Properties of Multiple Zeta Values. ​[[http://​arxiv.org/​abs/​math/​0601151|arXiv:​math.NT/​0601151]] v1 9 Jan 2006. 
   - Zudilin W. One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational. Uspekhi Mat. Nauk. 56. No 4 2001. 149--150.   - Zudilin W. One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational. Uspekhi Mat. Nauk. 56. No 4 2001. 149--150.
   - Zudilin W. Algebraic relations for multiple zeta values. Russian Math. Surveys 58. No 1. 2003. 1–29.   - Zudilin W. Algebraic relations for multiple zeta values. Russian Math. Surveys 58. No 1. 2003. 1–29.