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1

K. Saito's Conjecture for nonnegative eta products and analogous results for other infinite products

Alexander Berkovich, Frank G. Garvan

Journal:

Journal of Number Theory

Year:

2008

Language:

english

File:

PDF, 170 KB

english, 2008

2

A proof of theS-genus identities for ternary quadratic forms

Alexander Berkovich, Jonathan Hanke, Will Jagy

Journal:

The Ramanujan Journal

Year:

2012

Language:

english

File:

PDF, 565 KB

english, 2012

3

THE TRI-PENTAGONAL NUMBER THEOREM AND RELATED IDENTITIES

BERKOVICH, ALEXANDER

Journal:

International Journal of Number Theory

Year:

2009

Language:

english

File:

PDF, 192 KB

english, 2009

4

Positivity Preserving Transformations for q-Binomial Coefficients

Alexander Berkovich and S. Ole Warnaar

Journal:

Transactions of the American Mathematical Society

Year:

2005

Language:

english

File:

PDF, 3.55 MB

english, 2005

5

New polynomial analogues of Jacobi's triple product and Lebesgue's identities

Krishnaswami Alladi, Alexander Berkovich

Journal:

Advances in Applied Mathematics

Year:

2004

Language:

english

File:

PDF, 259 KB

english, 2004

6

On the representations of integers by the sextenary quadratic form and 7-cores

Alexander Berkovich, Hamza Yesilyurt

Journal:

Journal of Number Theory

Year:

2009

Language:

english

File:

PDF, 180 KB

english, 2009

7

N = 2 supersymmetry and Bailey pairs

Alexander Berkovich, Barry M. McCoy, Anne Schilling

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

1996

Language:

english

File:

PDF, 1.35 MB

english, 1996

8

A new four parameterq-series identity and its partition implications

Krishnaswami Alladi, George E. Andrews, Alexander Berkovich

Journal:

Inventiones mathematicae

Year:

2003

Language:

english

File:

PDF, 416 KB

english, 2003

9

Ramanujan’s identities and representation of integers by certain binary and quaternary quadratic forms

Alexander Berkovich, Hamza Yesilyurt

Journal:

The Ramanujan Journal

Year:

2009

Language:

english

File:

PDF, 697 KB

english, 2009

10

The Perturbation ϕ2, 1 of the M(p, p + 1) Models of Conformal Field Theory and Related Polynomial-Character Identities

Alexander Berkovich, Barry M. McCoy

Journal:

The Ramanujan Journal

Year:

2000

Language:

english

File:

PDF, 139 KB

english, 2000

11

Variants of the Andrews-Gordon Identities

Alexander Berkovich, Peter Paule

Journal:

The Ramanujan Journal

Year:

2001

Language:

english

File:

PDF, 97 KB

english, 2001

12

Lattice Paths,q-Multinomials and Two Variants of the Andrews-Gordon Identities

Alexander Berkovich, Peter Paule

Journal:

The Ramanujan Journal

Year:

2001

Language:

english

File:

PDF, 118 KB

english, 2001

13

On representation of an integer as the sum of three squares and ternary quadratic forms with the discriminants ,

Alexander Berkovich, William C. Jagy

Journal:

Journal of Number Theory

Year:

2012

Language:

english

File:

PDF, 200 KB

english, 2012

14

Binary quadratic forms and the Fourier coefficients of certain weight 1 eta-quotients

Berkovich, Alexander, Patane, Frank

Journal:

Journal of Number Theory

Year:

2014

Language:

english

File:

PDF, 453 KB

english, 2014

15

On the Gauss E ϒPHKA theorem and some allied inequalities

Berkovich, Alexander

Journal:

Journal of Number Theory

Year:

2015

Language:

english

File:

PDF, 342 KB

english, 2015

16

10.1090/S0002-9947-04-03680-3

Berkovich, Alexander, Warnaar, S. Ole

Journal:

Transactions of the American Mathematical Society

Year:

2005

Language:

english

File:

PDF, 796 KB

english, 2005

17

On the Andrews-Stanley Refinement of Ramanujan's Partition Congruence Modulo 5 and Generalizations

Alexander Berkovich and Frank G. Garvan

Journal:

Transactions of the American Mathematical Society

Year:

2006

Language:

english

File:

PDF, 1.34 MB

english, 2006

18

New Weighted Rogers-Ramanujan Partition Theorems and Their Implications

Krishnaswami Alladi and Alexander Berkovich

Journal:

Transactions of the American Mathematical Society

Year:

2002

Language:

english

File:

PDF, 1.49 MB

english, 2002

19

11354

Matthias Beck and Alexander Berkovich

Journal:

American Mathematical Monthly

Year:

2008

Language:

english

File:

PDF, 182 KB

english, 2008

20

On partitions with fixed number of even-indexed and odd-indexed odd parts

Berkovich, Alexander, Uncu, Ali Kemal

Journal:

Journal of Number Theory

Year:

2016

Language:

english

File:

PDF, 435 KB

english, 2016

21

10.1090/s0002-9947-02-02977-x

Alladi, Krishnaswami, Berkovich, Alexander

Journal:

Transactions of the American Mathematical Society

Year:

2002

Language:

english

File:

PDF, 270 KB

english, 2002

22

Variation on a theme of Nathan Fine. New weighted partition identities

Berkovich, Alexander, Uncu, Ali K.

Journal:

Journal of Number Theory

Year:

2017

Language:

english

File:

PDF, 466 KB

english, 2017

23

[IEEE 2017 IEEE International Symposium on Circuits and Systems (ISCAS) - Baltimore, MD, USA (2017.5.28-2017.5.31)] 2017 IEEE International Symposium on Circuits and Systems (ISCAS) - Dark current reduction by an adaptive CTIA photocircuit for room temperature SWIR sensing

Berkovich, Andrew, Castro, Alexander, Islam, Mohammad, Choa, Fow-Sen, Barrows, Geoffrey, Abshire, Pamela

Year:

2017

Language:

english

File:

PDF, 488 KB

english, 2017

24

A Computer Proof of a Polynomial Identity Implying a Partition Theorem of Göllnitz

Alexander Berkovich, Axel Riese

Journal:

Advances in Applied Mathematics

Year:

2002

Language:

english

File:

PDF, 117 KB

english, 2002

25

Some Observations on Dyson's New Symmetries of Partitions

Alexander Berkovich, Frank G. Garvan

Journal:

Journal of Combinatorial Theory, Series A

Year:

2002

Language:

english

File:

PDF, 281 KB

english, 2002

26

The BG-rank of a partition and its applications

Alexander Berkovich, Frank G. Garvan

Journal:

Advances in Applied Mathematics

Year:

2008

Language:

english

File:

PDF, 206 KB

english, 2008

27

New identities for 7-cores with prescribed BG-rank

Alexander Berkovich, Hamza Yesilyurt

Journal:

Discrete Mathematics

Year:

2008

Language:

english

File:

PDF, 190 KB

english, 2008

28

Continued fractions and fermionic representations for characters ofM(p,p′)minimal models

Alexander Berkovich, Barry M. McCoy

Journal:

Letters in Mathematical Physics

Year:

1996

Language:

english

File:

PDF, 757 KB

english, 1996

29

Polynomial identities, indices, and duality for theN=1 superconformal modelSM(2, 4v)

Alexander Berkovich, Barry M. McCoy, William P. Orrick

Journal:

Journal of Statistical Physics

Year:

1996

Language:

english

File:

PDF, 1.30 MB

english, 1996

30

Rogers–Schur–Ramanujan Type Identities for theM(p,p′) Minimal Models of Conformal Field Theory

Alexander Berkovich, Barry M. McCoy, Anne Schilling

Journal:

Communications in Mathematical Physics

Year:

1998

Language:

english

File:

PDF, 721 KB

english, 1998

31

A Double Bounded Version of Schur's Partition Theorem

Krishnaswami Alladi, Alexander Berkovich

Journal:

Year:

2002

Language:

english

File:

PDF, 255 KB

english, 2002

32

Dissecting the Stanley partition function

Alexander Berkovich, Frank G. Garvan

Journal:

Journal of Combinatorial Theory, Series A

Year:

2005

Language:

english

File:

PDF, 162 KB

english, 2005

33

Haem localization in haemoproteins by spin and triplet tools

Yevgenia YUDANOVA, Vladimir MECKLER, Vitali FOGEL, Alexander KULIKOV, Alexander KOTELNIKOV, Gertz LIKHTENSTEIN, Mark BERKOVICH, Alexander KARYAKIN, Alexander ARCHAKOV, Alexander KAPLUN, Vitali SCHVETS

Journal:

Year:

1986

Language:

english

File:

PDF, 345 KB

english, 1986

34

Fermionic counting of RSOS states and Virasoro character formulas for the unitary minimal series M(v,v + 1): Exact results

Alexander Berkovich

Journal:

Nuclear Physics B

Year:

1994

Language:

english

File:

PDF, 1.18 MB

english, 1994

35

Spin-anisotropy commensurable chains. Quantum group symmetries and N = 2 SUSY

Alexander Bérkovich, César Gómez, Germán Sierra

Journal:

Nuclear Physics B

Year:

1994

Language:

english

File:

PDF, 2.57 MB

english, 1994

36

Races among products

Alexander Berkovich, Keith Grizzell

Journal:

Journal of Combinatorial Theory, Series A

Year:

2012

Language:

english

File:

PDF, 167 KB

english, 2012

37

Bailey flows and Bose-Fermi identities for the conformal coset models (A1(1))N × (A1(1))N′/(A1(1))N+N′

Alexander Berkovich, Barry M. McCoy, Anne Schilling, S. Ole Warnaar

Journal:

Nuclear Physics B

Year:

1997

Language:

english

File:

PDF, 1.16 MB

english, 1997

38

The perturbations φ2,1 and φ1,5 of the minimal models M(p, p′) and the trinomial analogue of Bailey's lemma

Alexander Berkovich, Barry M. McCoy, Paul A. Pearce

Journal:

Nuclear Physics B

Year:

1998

Language:

english

File:

PDF, 1.13 MB

english, 1998

39

Force modulated conductance of artificial coiled-coil protein monolayers

Atanassov, Alexander, Hendler, Ziv, Berkovich, Inbal, Ashkenasy, Gonen, Ashkenasy, Nurit

Journal:

Year:

2013

Language:

english

File:

PDF, 429 KB

english, 2013

40

On Rogers–Ramanujan functions, binary quadratic forms and eta-quotients

Berkovich, Alexander, Yesilyurt, Hamza

Journal:

Proceedings of the American Mathematical Society

Year:

2013

Language:

english

File:

PDF, 249 KB

english, 2013

41

De Novo Designed Coiled-Coil Proteins with Variable Conformations as Components of Molecular Electronic Devices

Shlizerman, Clara, Atanassov, Alexander, Berkovich, Inbal, Ashkenasy, Gonen, Ashkenasy, Nurit

Journal:

Journal of the American Chemical Society

Year:

2010

Language:

english

File:

PDF, 2.84 MB

english, 2010

42

ON A NEW CLASS OF INTEGRABLE MODELS

BERKOVICH, ALEXANDER, GÓMEZ, CÉSAR, SIERRA, GERMÁN

Journal:

International Journal of Modern Physics B

Year:

1992

Language:

english

File:

PDF, 428 KB

english, 1992

43

A new companion to Capparelli's identities

Berkovich, Alexander, Uncu, Ali Kemal

Journal:

Advances in Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 307 KB

english, 2015

44

Essentially Unique Representations by Certain Ternary Quadratic Forms

Berkovich, Alexander, Patane, Frank

Journal:

Experimental Mathematics

Year:

2015

Language:

english

File:

PDF, 387 KB

english, 2015

45

On the Class of Dominant and Subordinate Products

Berkovich, Alexander, Grizzell, Keith

Journal:

Year:

2013

Language:

english

File:

PDF, 181 KB

english, 2013

46

On accuracy estimation of ultrasonic thermometry technique with heated wire method

Smirnov, Evgeny, Yukhnev, Andrey, Gataulin, Yakov, Sinitsyna, Daria, Berkovich, Alexander, Tarkhov, Dmitriy, Borodinecs, A., Sergeev, V., Vatin, N.

Journal:

MATEC Web of Conferences

Year:

2018

File:

PDF, 808 KB

2018

47

The association between fasting plasma glucose and glycated hemoglobin in the prediabetes range and future development of hypertension

Geva, Mika, Shlomai, Gadi, Berkovich, Anat, Maor, Elad, Leibowitz, Avshalom, Tenenbaum, Alexander, Grossman, Ehud

Journal:

Cardiovascular Diabetology

Year:

2019

Language:

english

File:

PDF, 1003 KB

english, 2019

48

Elementary Polynomial Identities Involving $$\varvec{q}$$ q -Trinomial Coefficients

Berkovich, Alexander, Uncu, Ali Kemal

Journal:

Annals of Combinatorics

Year:

2019

Language:

english

File:

PDF, 338 KB

english, 2019

49

On some polynomials and series of Bloch–Pólya type

Berkovich, Alexander, Uncu, Ali Kemal

Journal:

Proceedings of the American Mathematical Society

Year:

2018

Language:

english

File:

PDF, 206 KB

english, 2018

50

On some polynomials and series of Bloch–Pólya type

Berkovich, Alexander, Uncu, Ali Kemal

Journal:

Proceedings of the American Mathematical Society

Year:

2018

File:

PDF, 206 KB

2018