Professor of Mathematics
Alexander Berkovich

PROFESSIONAL SERVICE

I am a member of the AMS Committee on Science Policy.

UNIVERSITY SERVICE

I am a member of the University of Florida Faculty Senate.

I am a member of the Faculty Senate Budget Council.

SEMINAR

Organizer of the NUMBER THEORY SEMINAR. This semester the seminar meets Tuesdays 7th period (1:55pm) in LIT 368.

RESEARCH INTERESTS

Path To Partitions

RECENT PREPRINTS

  1. arXiv:1204.1092 On Rogers-Ramanujan functions, binary quadratic forms and eta-quotients. Submitted to arXiv [math.NT]. Alexander Berkovich, Hamza Yesilyurt. 14 pages.
  2. arXiv:1112.3392 Races among products. Submitted to arXiv [math.NT]. Alexander Berkovich, Keith Grizzell. 9 pages.
  3. arXiv:1101.2951 On representation of an integer as the sum of three squares and the ternary quadratic forms with the discriminants p^2, 16p^2. Alexander Berkovich, William Jagy. 17 pages.
  4. arXiv:1010.1926 A proof of the s-genus identities for ternary quadratic forms. Alexander Berkovich, Jonathan Hanke, William Jagy. 14 pages.
  5. arXiv:0907.1725 On Representation of an Integer by $X^2 + Y^2 + Z^2$ and the Modular Equations of Degree $3$ and $5$. Alexander Berkovich. 16 pages.
  6. arXiv:0906.2848 Ternary Quadratic Forms, Modular Equations and Certain Positivity Conjectures. Alexander Berkovich, William Jagy. 24 pages.
  7. arXiv:0807.4727 The GBG-Rank and t-Cores I. Counting and 4-Cores. Alexander Berkovich, Frank G. Garvan. 15 pages.
  8. arXiv:0804.2038 On the representations of integers by the sextenary quadratic form x2+y2+z2+ 7s2+7t2+ 7u2 and 7-cores. Alexander Berkovich, Hamza Yesilyurt. 10 pages.
  9. An absolute value sum, American Mathematical Monthly 115, no. 3 (2008), p. 263. Matthias Beck, Alexander Berkovich.
  10. arXiv:0801.3008 The tri-pentagonal number theorem and related identities. Alexander Berkovich. 13 pages.
  11. arXiv:0712.4087 On the difference of partial theta functions. Alexander Berkovich. 6 pages.
  12. math.NT/0702027 K. Saito's Conjecture for Nonnegative Eta Products and Analogous Results for Other Infinite Products. Alexander Berkovich, Frank G. Garvan. 15 pages.
  13. math.NT/0611300 Ramanujan's Identities and Representation of Integers by Certain Binary and Quaternary Quadratic Forms. Alexander Berkovich, Hamza Yesilyurt. 26 pages.
  14. math.NT/0603150 New Identities for 7-cores with prescribed BG-rank. Alexander Berkovich, Hamza Yesilyurt. 12 pages.
  15. math.CO/0602362 The BG-rank of a partition and its applications. Alexander Berkovich, Frank G. Garvan. 20 pages.
  16. Series and polynomial representations for weighted Rogers-Ramanujan partitions and products modulo 6, Probability and number theory---Kanazawa 2005, 21--39, Adv. Stud. Pure Math., 49, Math. Soc. Japan, Tokyo, 2007. Krishnaswami Alladi, Alexander Berkovich.
  17. math.CO/0409480 Dissecting the Stanley Partition Function. Alexander Berkovich, Frank G. Garvan. 11 pages.
  18. math.CO/0403167 Goellnitz-Gordon partitions with weights and parity conditions. Krishnaswami Alladi, Alexander Berkovich. 14 pages.
  19. math.CO/0402439 On the Andrews-Stanley Refinement of Ramanujan's Partition Congruence Modulo 5 and Generalizations. Alexander Berkovich, Frank G. Garvan. 24 pages.
  20. math.CO/0302320 Positivity preserving transformations for q-binomial coefficients. Alexander Berkovich, S. Ole Warnaar. 58 pages.
  21. math.CO/0205055 A new four parameter q-series identity and its partition implications. Krishnaswami Alladi, George E. Andrews, Alexander Berkovich. 25 pages.
  22. math.CO/0205031 A limiting form of the q-Dixon_4\phi_3 summation and related partition identities. Krishnaswami Alladi, Alexander Berkovich. 12 pages.
  23. math.CO/0203111 Some Observations on Dyson's New Symmetries of Partitions. Alexander Berkovich, Frank G. Garvan. 27 pages.
  24. math.CO/0203094 New polynomial analogues of Jacobi's triple product and Lebesgue's identities. Krishnaswami Alladi, Alexander Berkovich. 19 pages.
  25. math.CO/0109141 The WP - Bailey Tree and its Implications. George E. Andrews, Alexander Berkovich. 20 pages.

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Last update made Mon Jan 23 12:15:00 EDT 2012.