Professor of Mathematics
Alexander Berkovich

PROFESSIONAL SERVICE

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

I am a member of the editorial board of Mathematics—An Open Access Journal.

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

• Additive number theory - partitions, combinatorics, basic q-hypergeometric series
• Mathematical Physics - quantum exactly integrable models, conformal field theory, special functions

Path To Partitions

RECENT PREPRINTS

1. arXiv:1303.2362 On the class of dominant and subordinate products. Alexander Berkovich, Keith Grizzell. 10 pages.
2. arXiv:1302.2359 Binary Quadratic forms and the Fourier coefficients of certain weight 1 eta-quotients. Alexander Berkovich, Frank Patane. 23 pages.
3. arXiv:1204.1092 On Rogers-Ramanujan functions, binary quadratic forms and eta-quotients. Submitted to arXiv [math.NT]. Alexander Berkovich, Hamza Yesilyurt. 14 pages.
4. arXiv:1112.3392 Races among products. Submitted to arXiv [math.NT]. Alexander Berkovich, Keith Grizzell. 9 pages.
5. 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.
6. arXiv:1010.1926 A proof of the s-genus identities for ternary quadratic forms. Alexander Berkovich, Jonathan Hanke, William Jagy. 14 pages.
7. 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.
8. arXiv:0906.2848 Ternary Quadratic Forms, Modular Equations and Certain Positivity Conjectures. Alexander Berkovich, William Jagy. 24 pages.
9. arXiv:0807.4727 The GBG-Rank and t-Cores I. Counting and 4-Cores. Alexander Berkovich, Frank G. Garvan. 15 pages.
10. 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.
11. An absolute value sum, American Mathematical Monthly 115, no. 3 (2008), p. 263. Matthias Beck, Alexander Berkovich.
12. arXiv:0801.3008 The tri-pentagonal number theorem and related identities. Alexander Berkovich. 13 pages.
13. arXiv:0712.4087 On the difference of partial theta functions. Alexander Berkovich. 6 pages.
14. 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.
15. math.NT/0611300 Ramanujan's Identities and Representation of Integers by Certain Binary and Quaternary Quadratic Forms. Alexander Berkovich, Hamza Yesilyurt. 26 pages.
16. math.NT/0603150 New Identities for 7-cores with prescribed BG-rank. Alexander Berkovich, Hamza Yesilyurt. 12 pages.
17. math.CO/0602362 The BG-rank of a partition and its applications. Alexander Berkovich, Frank G. Garvan. 20 pages.
18. 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.
19. math.CO/0409480 Dissecting the Stanley Partition Function. Alexander Berkovich, Frank G. Garvan. 11 pages.
20. math.CO/0403167 Goellnitz-Gordon partitions with weights and parity conditions. Krishnaswami Alladi, Alexander Berkovich. 14 pages.
21. math.CO/0402439 On the Andrews-Stanley Refinement of Ramanujan's Partition Congruence Modulo 5 and Generalizations. Alexander Berkovich, Frank G. Garvan. 24 pages.
22. math.CO/0302320 Positivity preserving transformations for q-binomial coefficients. Alexander Berkovich, S. Ole Warnaar. 58 pages.
23. math.CO/0205055 A new four parameter q-series identity and its partition implications. Krishnaswami Alladi, George E. Andrews, Alexander Berkovich. 25 pages.
24. math.CO/0205031 A limiting form of the q-Dixon_4\phi_3 summation and related partition identities. Krishnaswami Alladi, Alexander Berkovich. 12 pages.
25. math.CO/0203111 Some Observations on Dyson's New Symmetries of Partitions. Alexander Berkovich, Frank G. Garvan. 27 pages.
26. math.CO/0203094 New polynomial analogues of Jacobi's triple product and Lebesgue's identities. Krishnaswami Alladi, Alexander Berkovich. 19 pages.
27. math.CO/0109141 The WP - Bailey Tree and its Implications. George E. Andrews, Alexander Berkovich. 20 pages.

TEACHING

• MAP2302 Spring 2013 Section 022H
• MAS4203 Spring 2013 Section 8430

CONTACT INFORMATION

• email: alexb@ufl.edu
• office: LIT 496

OTHER LINKS

• Department of Mathematics, University of Florida
• MATHSCINET
• Local Math Reviews

Last update made Mon Mar 11 22:05:00 EDT 2013.