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Reviews

  1. Review of “Renormalization of multiple zeta values,” by Li Guo and Bin Zhang, J. Algebra 319 (2008), no. 9, 3770–3809. [MR 2407850] (2009b:11155)
  2. Review of “Analytic and combinatoric aspects of Hurwitz polyzêtas,” by Jean-Yves Enjalbert and Hoang Ngoc Minh, J. Théor. Nombres Bordeaux 19 (2007), no. 3, 595–640. [MR 2388791] (2009b:11153)
  3. Review of “Symmetry on linear relations for multiple zeta values,” by Kentaro Ihara and Hiroyuki Ochiai, Nagoya Math. J. 189 (2008), 49–62. [MR 2396583] (2009a:11189)
  4. Review of “On relations for the multiple q-zeta values,” by Jun-ichi Okuda and Yoshihiro Takeyama, Ramanujan J. 14 (2007), no. 3, 379–387. [MR 2357443] (2008j:11011)
  5. Review of “New relations among Euler sums of even weight,” by Wen-Chin Liaw, Tamkang J. Math. 38 (2007), no. 1, 21–36. [MR 2321029] (2008g:11138)
  6. Review of “The dilogarithm function,” by Don Zagier, Frontiers in Number Theory, Physics, and Geometry. II, 3–65, Springer, Berlin, 2007. [MR 2290758] (2008h:33005)
  7. Review of “On some functional relations between Mordell-Tornheim double L-functions and Dirichlet L-functions,” by Hirofumi Tsumura, J. Number Theory 120 (2006), no. 1, 161–178. [MR 2256802] (2007j:11122)
  8. Review of “Primality from factorization properties of Chebyshev polynomials,” by Mohamed O. Rayes and Vilmar Trevisan, JP Jour. Algebra, Number Theory & Appl. 6 (2006), no. 3, 503–514. [MR 2284513] (2007j:33018)
  9. Review of “Derivation and double shuffle relations for multiple zeta values” by Kentaro Ihara, Masanobu Kaneko, and Don Zagier, Compositio Mathematica 142 (2006), no. 2, 307–338. [MR 2218898] (2007e:11110)
  10. Review of “On certain combination of colored multizeta values” by Matilde N. Lalin, J. Ramanujan Math. Soc. 21 (2006), no. 1, 115–127. [MR 2226356] (2007d:11104)
  11. Review of “Evaluations of a class of double L-values” by David Terhune, Proc. Amer. Math. Soc. 134 (2006), no. 7, 1881–1889. [MR 2215115] (2006k:11178)
  12. Review of “Compressed Drinfeld associators” by V. Kurlin, J. Algebra 292 (2005), no. 1, 184–242. [MR 2166802] (2006k:11177)
  13. Review of “On one-dimensional digamma and polygamma series related to the evaluation of Feynman diagrams” by Mark W. Coffey, J. Comput. Appl. Math. 183 (2005), no. 1, 84–100. [MR 2156181] (2006k:33006)
  14. Review of “Duality formulas of the special values of multiple polylogarithms,” by Jun-ichi Okuda, Bull. London Math. Soc. 37 (2005), no. 2, 230–242. [MR 2119023] (2006a:11084)
  15. Review of “Sum relations for multiple zeta values and connection formulas for the Gauss hypergeometric function,” by Yasuo Ohno and Takashi Aoki, Publ. Res. Inst. Math. Sci, Kyoto Univ. 41 (2005), no. 2, 329–337. [MR 2138027] (2005m:11165)
  16. Review of “Shuffle algebra and differential Galois group of colored polylogarithms,” by Hoang Ngoc Minh, Nuclear Phys. B Proc. Suppl. 135 (2004), 220–224. [MR 2111843] (2005k:11135)
  17. Review of “The Hopf algebra structure of multiple harmonic sums,” by Michael E. Hoffman, Nuclear Phys. B Proc. Suppl. 135 (2004), 215–219. [MR 2111842] (2005i:11125)
  18. Review of “Finite polyzêtas, poly-Bernoulli numbers, identities of polyzêtas and noncommutative rational power series,” by Hoang Ngoc Minh, in Proceedings of WORDS’03, 232–250, TUCS Gen. Publ., 27, Turku Cent. Comput. Sci., Turku, 2003. [MR 2081357] (2005g:11169)
  19. Review of “Evaluation formulas for Tornheim’s type of alternating double series,” by Hirofumi Tsumura, Math. Comp. 73 (2003), no. 245, 251–258. [MR 2034120] (2005d:11137)
  20. Review of “Formal computations about multiple zeta values,” by Marc Espie, Jean-Christophe Novelli and Georges Racinet, From combinatorics to dynamical systems, 1–16, IRMA Lect. Math. Theor. Phys., 3, de Gruyter, Berlin, 2003. [MR 2049420] (2005d:11134)
  21. Review of “Combinatorial relations for Euler-Zagier sums,” by Hirofumi Tsumura, Acta Arithmetica, 111 (2004), no. 1, 27–42. [MR 2038060] (2005a:11140)
  22. Review of “On Euler-Barnes multiple zeta functions,” by Taekyun Kim, Russian Journal of Mathematical Physics, 10 (2003), no. 3, 261–267. [MR 2012900] (2004j:11106)
  23. Review of “Inductive construction of rapidly convergent series representations for ζ(2n+1),” by Hari M. Srivastava and Hirofumi Tsumura, International Journal of Computer Mathematics, 80 (2003), no. 9, 1161–1173. [MR 2008431] (2004i:11099)
  24. Review of “A generalization of the Bernoulli polynomials,” by Pierpaolo Natalini and Angela Bernardini, J. Appl. Math. (2003), no. 3, 155–163. [MR 1982355] (2004g:33023)
  25. Review of “On alternating analogues of Tornheim’s double series,” by Hirofumi Tsumura, Proc. Amer. Math. Soc. 131 (2003), no. 12, 3633–3641. [MR 1998168] (2004e:11102)
  26. Review of “Note on multiple zeta-values,” {In memory of C. S. Sibirsky} by Henryk Żoładek, Buletinul Academiei de Ştiinţe a Republicii Moldova Matematica 41 (2003), no. 1, 78–82. [MR 1992652] (2004c:11168)
  27. Review of “Relations of multiple zeta values and their algebraic expression,” by Michael E. Hoffman and Yasuo Ohno, J. Algebra 262 (2003), 332–347. [MR 1971042] (2004c:11163)
  28. Review of “Ramanujan’s elliptic functions to alternative bases and approximations to π,” by Heng Huat Chan, in Number theory for the millenium, I (Urbana IL, 2000), 197–213, A. K. Peters, Natick, MA, 2002. [MR 1956226] (2003k:11194)
  29. Review of “On some combinatorial relations for Tornheim’s double series,” by Hirofumi Tsumura, Acta Arithmetica 105 (2002), no. 3, 239–252. [MR 1931792] (2003i:11134)
  30. Review of “Some infinite series related to Feynman diagrams,” by Odd Magne Ogreid and Per Osland, Proceedings of the 9th International Congress on Computational and Applied Mathematics (Leuven, 2000). J. Compututational & Applied Mathematics 140 (2002), no. 1–2, 659–671. [MR 1934465] (2003g:11145)
  31. Review of “Fast computation of ζ(3) and of some special integrals using the Ramanujan formula and polylogarithms,” by Ekatherina A. Karatsuba, BIT 41 (2001), no. 4, 722–730. [MR 1881214] (2003e:11142)
  32. Review of “A quantum field theoretical representation of Euler-Zagier sums,” by Uwe Müller and Christian Schubert, Internat. J. Math. Math. Sci. 29 (2002), no. 3, 127–148. [MR 1914732] (2003b:11096)
  33. Review of “Consecutive evaluation of Euler sums,” by Khristo N. Boyadzhiev, Internat. J. Math. Math. Sci. 29 (2002), no. 9, 555–561. [MR 1900347] (2003d:11124)
  34. Review of “Generating power series of coloured polylogarithm functions and Drinfel’d associator,” by M. Bigotte, G. Jacob, N. E. Oussous, and M. Petitot. Computer Mathematics (Chiang Mai, 2000), 39–48, Lecture Notes Ser. Comput., 8 World Sci. Publishing, River Edge, NJ, 2000. [MR 1896308] (2003e:11071)
  35. Review of “Computing the Riemann zeta function by numerical quadrature,” by William F. Galway, in Dynamical, spectral and arithmetic zeta functions (San Antonio, TX, 1999), 81–91, Contemp. Math. 290, Amer. Math. Soc., Providence, RI, 2001. [MR 1868470] (2002i:11131)
  36. Review of “Evaluation of Euler-Zagier sums,” by Khristo Boyadzhiev, Internat. J. Math. Math. Sci. 27 (2001), no. 7, 407–412. [MR 1874187] (2002k:11147)
  37. Review of “On some new continued fractions related to 2φ1 basic hypergeometric functions,” by K. R. Vasuki and K. Shivashankara, Far East Journal of Mathematical Sciences 3 (2001), no. 3, 435–443. [MR 1835870] (2002f:33024)
  38. Review of “Extended Bell and Stirling numbers from hypereometric exponentiation,” by J.-M. Sixdeniers, K. A. Penson, A. I. Solomon, Journal of Integer Sequences 4 (2001), no. 1, Article 01.1.4 (11pp. electronic). [MR 1848944] (2002e:11022)
  39. Review of “Analytic continuation of multiple zeta-functions and their values at non-positive integers,” by Shigeki Akiyama, Shigeki Egami, and Yoshio Tanigawa, Acta Arithmetica 98 (2001), no. 2, 107–116. [MR 1831604] (2002c:11113)
  40. Review of “Parallel integer relation detection: techniques and applications,” by David H. Bailey and David J. Broadhurst, Mathematics of Computation 70 (2001), no. 236, 1719–1736. [MR 1836930] (2002b:11174)
  41. Review of “Congruences relating rational values of Bernoulli and Euler polynomials,” by Glenn J. Fox, Fibonacci Quarterly 39 (2001), no. 1, 50–57. [MR 1812619] (2002a:11014)
  42. Review of “On Barnes’ multiple zeta and gamma functions,” by S. N. M. Ruijsenaars, Advances in Mathematics 156 (2000), no. 1, 107–132. [MR 1800255] (2002b:33022)
  43. Review of “New formulas for approximation of π and other transcendental numbers,” by Bahman Kalantari,  Computational methods from rational approximation theory (Wilrijk, 1999). Numerical Algorithms 24 (2000), no. 1–2, 59–81. [MR 1784992] (2001h:11087)
  44. Review of “Some definite integrals associated with the Riemann zeta function,” by H. M. Srivastava, M. L. Glasser, and V. S. Adamchik, Zeitschrift für Analysis und ihre Anwendungen 19 (2000), no. 3, 831–846. [MR 1784133] (2001g:11136)
  45. Review of “Recent problems from uniform asymptotic analysis of integrals in particular in connection with Tricomi’s Ψ-function,” by Nico M. Temme, in Tricomi’s ideas and contemporary applied mathematics, (Rome/Turin 1997), pp. 183–201, Atti Convegni Lincei 147 Accad. Naz. Lincei, Rome, 1998. [MR 1737496] (2001i:33004)
  46. Review of “Cubic modular equations and new Ramanujan-type series for 1/π,” by Heng Huat Chan and Wen-Chin Liaw, Pacific Journal of Mathematics 192 (2000), no. 2, 219–238. [MR 1744566] (2001e:11041)
  47. Review of “On Russell-type modular equations,” by Heng Huat Chan and Wen-Chin Liaw, Canadian Journal of Mathematics 52 (2000), no. 1, 31–46. [MR 1745700] (2001c:33028)
  48. Review of “New representations for the Madelung constant,” by Richard E. Crandall, Experimental Mathematics, 8 (1999), no. 4, 367–379. [MR 1737232] (2000m:11125)
  49. Review of “Differential inequalities for Iwaniec’s q-functions,” by Harold G. Diamond and Heini Halberstam, in Number theory in progress,  Vol. 2 (Zakopane-Kościelisko, 1997), 721–735, de Gruyter, Berlin, 1999. [MR 1689540] (2000f:11123)
  50. Featured Review (with Jonathan Borwein) of “Ramanujan’s theories of elliptic functions to alternative bases,” by Bruce C. Berndt, S. Bhargava, and Frank G. Garvan, Transactions of the American Mathematical Society 347 (1995), no. 11, 4163–4244. Mathematical Reviews, August 1997. [MR 1311903] (97h:33034)