Li Guo: Articles, reprints and preprints

This page gives access to most of my reprints and preprints. Clicking on the name of a paper will give you a postscript version of the paper. The TeX file is sometimes available.

(Warning: There may be some copyright problems if you use any published paper for anything other than your own scholarly use, so beware.)
  1. Rota-Baxter algebras and dendriform algebras, (with K. Ebrahimi-Fard), preprint, 2004.
  2. On products and duality of binary, quadratic, regular operads, (with Kurusch Ebrahimi-Fard) preprint, 2004, ArXiv: math.RA/0407162.
  3. Quasi-shuffles, mixable shuffles and Hopf algebras, (with K. Ebrahimi-Fard) preprint 2004.
  4. Spitzer's Identity and the Algebraic Birkhoff Decomposition in pQFT, (with K. Ebrahimi-Fad, D. Kreimer), J. Phys. A: Math. Gen. 37 (2004) 11037-11052, ArXiv:hep-th/0407082.
  5. Integrable renormalization II: the general case, (with K. Ebrahimi-Fard and D. Kreimer) to appear in Annales Henri Poincare, arXiv:hep-th/0403118.
  6. Integrable renormalization I: the ladder case, (with K. Ebrahimi-Fard and D. Kreimer) J. Math. Phys. 45 (2004), 3758-3769, arXiv:hep-th/0402095.
    8. Adjoint motives of modular forms and the Tamagawa number conjecture, (with F. Diamond and M. Flach), to appear in Ann Sci ENS.
  8. Baxter algebras, Stirling numbers and partitions, to appear in Journal of Algebra and Its Applications.
  9. Baxter Algebras and Hopf Algebras, (With George E. Andrews, William Keigher and Ken Ono), Trans. Amer. Math. Soc. 355 (2003), no.11, 4639-4656.
  10. Baxter algebras and differential algebra, Differential algebra and related topics (Newark, NJ, 2000), 281-305, World Sci. Publishing 2002.
  11. On the Bloch-Kato conjecture for adjoint motives of modular forms, (With Fred Diamond and Matthias Flach), Mathematical Research Letters. 8 (2001), no. 4, 437-442.
  12.  Ascending Chain Conditions in Free Baxter Algebras, International Journal of Algebra and Computation. 12 (2002), no. 4, 601-622.
  13. Baxter Algebras and the Umbral Calculus,
    14. Advances in Applied Mathematics. 27 (2001), no.2-3, 405-426.
  14. Properties of Free Baxter Algebras,
    15. Advances in Mathematics 151 (2000), no.2, 346-374.
  15. (with William Keigher),
    16. On free Baxter algebras: completions and the internal construction, Advances in Mathematics 151 (2000), no.1, 101-127.
  16. Congruences between Selmer groups,
    17. Journal of Number Theory 80 (2000), no.1, 135-153.
  17. (with William Keigher),
    18. Baxter algebras and shuffle products, Advances in Mathematics 150 (2000), no.1, 117-149.
  18. (With Ken Ono),
    19. The Partition Function and the Arithmetic of Certain Modular L-functions, International Mathematics Research Notices 1999 (1999), no. 21, 1179-1197.
  19. Hecke characters and formal group characters,
    20. Topics in Number Theory, Kluwer Academic Publishers, March 1999, 181-192.
  20. (with Linghsueh Shu),
    21. Class numbers of cyclotomic function fields, Trans. Amer. Math. Soc. 351 (1999), no. 11, 4445-4467.
  21. On the Bloch-Kato conjecture for Hecke L-functions,
    22. Journal of Number Theory 57 (1996), 340-365.
  22. General Selmer groups and critical value of Hecke L-functions,
    23. Mathematische Annalen, 297 (1993), 221-233.
  23. On a generalization of Tate dualities with application to Iwasawa theory,
    24. Compositio Mamthematica, 85 (1993), 125-161
  24. Some theorems on chain conditions,
    25. Journal of Mathematics (Wuhan Univ.), 6 (1986), 165-174 (Math Review No.: 87k:16019).
  25. On the generic free complements of projective modules,
    26. Journal of Mathematics (Wuhan Univ.), 5 (1986), 283-287 (Math Review No.: 87i:16038).
  26. On a theorem of factor sets,
    27. Journal of Wuhan University (Natural Science Edition) (1985), 28-32 (Math Review No.: 87f:12009).

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