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
RECENT PREPRINTS
- arXiv:1303.2362
On the class of dominant and subordinate products. Alexander Berkovich, Keith Grizzell. 10 pages.
- arXiv:1302.2359
Binary Quadratic forms and the Fourier coefficients of certain weight 1
eta-quotients. Alexander Berkovich, Frank Patane. 23 pages.
- arXiv:1204.1092 On Rogers-Ramanujan
functions, binary quadratic forms and eta-quotients. Submitted to arXiv [math.NT]. Alexander Berkovich, Hamza Yesilyurt. 14 pages.
- arXiv:1112.3392 Races among products. Submitted to arXiv [math.NT]. Alexander Berkovich, Keith Grizzell. 9
pages.
- 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.
- arXiv:1010.1926 A proof of the s-genus identities
for ternary quadratic forms. Alexander Berkovich,
Jonathan Hanke, William Jagy.
14 pages.
- 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.
- arXiv:0906.2848 Ternary Quadratic Forms, Modular
Equations and Certain Positivity Conjectures. Alexander Berkovich, William Jagy. 24
pages.
- arXiv:0807.4727 The GBG-Rank and t-Cores I.
Counting and 4-Cores. Alexander Berkovich, Frank
G. Garvan. 15 pages.
- 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.
- An absolute value
sum, American
Mathematical Monthly 115, no. 3 (2008), p. 263. Matthias Beck,
Alexander Berkovich.
- arXiv:0801.3008 The tri-pentagonal number theorem
and related identities. Alexander Berkovich. 13
pages.
- arXiv:0712.4087 On the difference of partial theta
functions. Alexander Berkovich. 6 pages.
- 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.
- math.NT/0611300
Ramanujan's Identities and Representation of
Integers by Certain Binary and Quaternary Quadratic Forms. Alexander Berkovich, Hamza Yesilyurt. 26 pages.
- math.NT/0603150
New Identities for 7-cores with prescribed BG-rank. Alexander Berkovich, Hamza Yesilyurt. 12 pages.
- math.CO/0602362 The BG-rank of a partition and its
applications. Alexander Berkovich, Frank G. Garvan. 20 pages.
- 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.
- math.CO/0409480 Dissecting the Stanley Partition
Function. Alexander Berkovich, Frank G. Garvan. 11 pages.
- math.CO/0403167 Goellnitz-Gordon
partitions with weights and parity conditions. Krishnaswami
Alladi, Alexander Berkovich.
14 pages.
- math.CO/0402439 On the Andrews-Stanley Refinement
of Ramanujan's Partition Congruence Modulo 5 and
Generalizations. Alexander Berkovich, Frank G. Garvan. 24 pages.
- math.CO/0302320 Positivity preserving
transformations for q-binomial coefficients. Alexander Berkovich,
S. Ole Warnaar. 58 pages.
- math.CO/0205055 A new four parameter q-series
identity and its partition implications. Krishnaswami
Alladi, George E. Andrews, Alexander Berkovich. 25 pages.
- math.CO/0205031 A limiting form of the
q-Dixon_4\phi_3 summation and related partition identities. Krishnaswami Alladi,
Alexander Berkovich. 12 pages.
- math.CO/0203111 Some Observations on Dyson's New
Symmetries of Partitions. Alexander Berkovich,
Frank G. Garvan. 27 pages.
- math.CO/0203094 New polynomial analogues of
Jacobi's triple product and Lebesgue's
identities. Krishnaswami Alladi,
Alexander Berkovich. 19 pages.
- math.CO/0109141 The WP - Bailey Tree and its
Implications. George E. Andrews, Alexander Berkovich.
20 pages.
TEACHING
CONTACT INFORMATION
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Last update made Mon Mar 11 22:05:00 EDT 2013.