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1

The Circle Problem of Gauss and the Divisor Problem of Dirichlet—Still Unsolved

Berndt, Bruce C., Kim, Sun, Zaharescu, Alexandru

Journal:

American Mathematical Monthly

Year:

2018

Language:

english

File:

PDF, 533 KB

english, 2018

2

NONVANISHING OF THE RAMANUJAN TAU FUNCTION IN SHORT INTERVALS

ALKAN, EMRE, ZAHARESCU, ALEXANDRU

Journal:

International Journal of Number Theory

Year:

2005

Language:

english

File:

PDF, 151 KB

english, 2005

3

Distribution of Selmer groups of quadratic twists of a family of elliptic curves

Maosheng Xiong, Alexandru Zaharescu

Journal:

Advances in Mathematics

Year:

2008

Language:

english

File:

PDF, 242 KB

english, 2008

4

Races with imaginary parts of zeros of the Riemann zeta function and Dirichlet L-functions

Liu, Di, Zaharescu, Alexandru

Journal:

Journal of Mathematical Analysis and Applications

Year:

2021

File:

PDF, 1.05 MB

2021

5

Thermal stability of isotactic polypropylene modified with calcium carbonate nanoparticles

Silviu Jipa, Traian Zaharescu, Pitt Supaphol

Journal:

Polymer Bulletin

Year:

2010

Language:

english

File:

PDF, 267 KB

english, 2010

6

An integral of Dedekind An integral of Dedekind An integral of Dedekind An integral of Dedekind eta-functions in Ramanujans lost notebook

Berndt, Bruce C., Zaharescu, Alexandru

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2002

Language:

english

File:

PDF, 87 KB

english, 2002

7

Finite trigonometric sums and class numbers

Bruce C. Berndt, Alexandru Zaharescu

Journal:

Mathematische Annalen

Year:

2004

Language:

english

File:

PDF, 198 KB

english, 2004

8

Quotients of values of the Dedekind Eta function

Emre Alkan, Maosheng Xiong, Alexandru Zaharescu

Journal:

Mathematische Annalen

Year:

2008

Language:

english

File:

PDF, 268 KB

english, 2008

9

On the distribution of imaginary parts of zeros of the Riemann zeta function, II

Kevin Ford, K. Soundararajan, Alexandru Zaharescu

Journal:

Mathematische Annalen

Year:

2009

Language:

english

File:

PDF, 316 KB

english, 2009

10

ARITHMETIC FUNCTIONS ON GAUSSIAN INTEGERS

STEINBERGER, THOMAS, ZAHARESCU, ALEXANDRU, ZAKI, MOHAMMAD

Journal:

International Journal of Number Theory

Year:

2013

Language:

english

File:

PDF, 197 KB

english, 2013

11

Weighted divisor sums and Bessel function series. III

Berndt, Bruce C., Kim, Sun, Zaharescu, Alexandru

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2013

Language:

english

File:

PDF, 320 KB

english, 2013

12

Some remarks on Landau-Siegel zeros

Zaharescu, A., Sarnak, P.

Journal:

Duke Mathematical Journal

Year:

2002

Language:

english

File:

PDF, 91 KB

english, 2002

13

Pair correlation of hyperbolic lattice angles

Boca, Florin P., Popa, Alexandru A., Zaharescu, Alexandru

Journal:

International Journal of Number Theory

Year:

2014

Language:

english

File:

PDF, 636 KB

english, 2014

14

ARITHMETICAL FUNCTIONS IN SEVERAL VARIABLES

ALKAN, EMRE, ZAHARESCU, ALEXANDRU, ZAKI, MOHAMMAD

Journal:

International Journal of Number Theory

Year:

2005

Language:

english

File:

PDF, 260 KB

english, 2005

15

The final problem: an identity from Ramanujan's lost notebook

Berndt, Bruce C., Li, Junxian, Zaharescu, Alexandru

Journal:

Journal of the London Mathematical Society

Year:

2019

Language:

english

File:

PDF, 325 KB

english, 2019

16

Grahm's conjecture under riemann hypothesis

Cristian Cobeli, Marian Vâjâitu, Alexandru Zaharescu

Journal:

Journal of Number Theory

Year:

1989

Language:

english

File:

PDF, 326 KB

english, 1989

17

On the distribution of rational functions along a curve over and residue races

Andrew Granville, Igor E. Shparlinski, Alexandru Zaharescu

Journal:

Journal of Number Theory

Year:

2005

Language:

english

File:

PDF, 354 KB

english, 2005

18

Weighted Divisor Sums and Bessel Function Series

Bruce C. Berndt, Alexandru Zaharescu

Journal:

Mathematische Annalen

Year:

2006

Language:

english

File:

PDF, 267 KB

english, 2006

19

Distribution of Lattice Points Visible from the Origin

Florin P. Boca, Cristian Cobeli, Alexandru Zaharescu

Journal:

Communications in Mathematical Physics

Year:

2000

Language:

english

File:

PDF, 234 KB

english, 2000

20

Weighted divisor sums and Bessel function series, II

Bruce C. Berndt, Sun Kim, Alexandru Zaharescu

Journal:

Advances in Mathematics

Year:

2012

Language:

english

File:

PDF, 272 KB

english, 2012

21

Weighted divisor sums and Bessel function series, IV

Bruce C. Berndt, Sun Kim, Alexandru Zaharescu

Journal:

The Ramanujan Journal

Year:

2012

Language:

english

File:

PDF, 698 KB

english, 2012

22

Circle and divisor problems, and double series of Bessel functions

Berndt, Bruce C., Kim, Sun, Zaharescu, Alexandru

Journal:

Advances in Mathematics

Year:

2013

Language:

english

File:

PDF, 343 KB

english, 2013

23

Zeros of partial sums of the Dedekind zeta function of a cyclotomic field

Ledoan, Andrew, Roy, Arindam, Zaharescu, Alexandru

Journal:

Journal of Number Theory

Year:

2014

Language:

english

File:

PDF, 286 KB

english, 2014

24

DETERMINATIONS OF ANALOGUES OF GAUSS SUMS AND OTHER TRIGONOMETRIC SUMS

BECK, MATTHIAS, BERNDT, BRUCE C., CHAN, O-YEAT, ZAHARESCU, ALEXANDRU

Journal:

International Journal of Number Theory

Year:

2005

Language:

english

File:

PDF, 294 KB

english, 2005

25

THE CORRELATIONS OF FAREY FRACTIONS

BOCA, FLORIN P., ZAHARESCU, ALEXANDRU

Journal:

Journal of the London Mathematical Society

Year:

2005

Language:

english

File:

PDF, 210 KB

english, 2005

26

A conjecture of R. R. Hall on Farey points

Boca, Florin P., Cobeli, Cristian, Zaharescu, Alexandru

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2001

Language:

english

File:

PDF, 231 KB

english, 2001

27

New pathways and connections in number theory and analysis motivated by two incorrect claims of Ramanujan

Berndt, Bruce C., Dixit, Atul, Roy, Arindam, Zaharescu, Alexandru

Journal:

Advances in Mathematics

Year:

2017

Language:

english

File:

PDF, 1.35 MB

english, 2017

28

Sums of squares and products of Bessel functions

Berndt, Bruce C., Dixit, Atul, Kim, Sun, Zaharescu, Alexandru

Journal:

Advances in Mathematics

Year:

2018

Language:

english

File:

PDF, 576 KB

english, 2018

29

Bilinear forms in Weyl sums for modular square roots and applications

Dunn, Alexander, Kerr, Bryce, Shparlinski, Igor E., Zaharescu, Alexandru

Journal:

Advances in Mathematics

Year:

2020

File:

PDF, 302 KB

2020

30

Completions of r.a.t.-Valued Fields of Rational Functions

A. Iovita, A. Zaharescu

Journal:

Journal of Number Theory

Year:

1995

File:

PDF, 147 KB

1995

31

On the Structure of the Irreducible Polynomials Over Local Fields

N. Popescu, A. Zaharescu

Journal:

Journal of Number Theory

Year:

1995

File:

PDF, 695 KB

1995

32

On the Closed Subfields ofCp

Victor Alexandru, Nicolae Popescu, Alexandru Zaharescu

Journal:

Journal of Number Theory

Year:

1998

Language:

english

File:

PDF, 442 KB

english, 1998

33

On the Distribution of Small Powers of a Primitive Root

C.I Cobeli, S.M Gonek, A Zaharescu

Journal:

Journal of Number Theory

Year:

2001

Language:

english

File:

PDF, 124 KB

english, 2001

34

Trace on Cp

Victor Alexandru, Nicolae Popescu, Alexandru Zaharescu

Journal:

Journal of Number Theory

Year:

2001

Language:

english

File:

PDF, 290 KB

english, 2001

35

On a conjecture of Graham

Zaharescu Alexandru

Journal:

Journal of Number Theory

Year:

1987

Language:

english

File:

PDF, 346 KB

english, 1987

36

Organic thin film transistors with HfO2 high-k gate dielectric grown by anodic oxidation or deposited by sol–gel

J. Tardy, M. Erouel, A.L. Deman, A. Gagnaire, V. Teodorescu, M.G. Blanchin, B. Canut, A. Barau, M. Zaharescu

Journal:

Microelectronics Reliability

Year:

2007

Language:

english

File:

PDF, 363 KB

english, 2007

37

Continued fractions with three limit points

George E. Andrews, Bruce C. Berndt, Jaebum Sohn, Ae Ja Yee, Alexandru Zaharescu

Journal:

Advances in Mathematics

Year:

2005

Language:

english

File:

PDF, 317 KB

english, 2005

38

Preparation of BiFeO3 films by wet chemical method and their characterization

V. Fruth, E. Tenea, M. Gartner, M. Anastasescu, D. Berger, R. Ramer, M. Zaharescu

Journal:

Journal of the European Ceramic Society

Year:

2007

Language:

english

File:

PDF, 168 KB

english, 2007

39

Norm estimates of almost Mathieu operators

Florin P. Boca, Alexandru Zaharescu

Journal:

Journal of Functional Analysis

Year:

2005

Language:

english

File:

PDF, 304 KB

english, 2005

40

B-free numbers in short arithmetic progressions

Emre Alkan, Alexandru Zaharescu

Journal:

Journal of Number Theory

Year:

2005

Language:

english

File:

PDF, 257 KB

english, 2005

41

Diophantine approximation with mild divisibility constraints

Emre Alkan, Glyn Harman, Alexandru Zaharescu

Journal:

Journal of Number Theory

Year:

2006

Language:

english

File:

PDF, 136 KB

english, 2006

42

Pair correlation of rationals with prime denominators

Maosheng Xiong, Alexandru Zaharescu

Journal:

Journal of Number Theory

Year:

2008

Language:

english

File:

PDF, 138 KB

english, 2008

43

Metric invariants over Henselian valued fields

Angel Popescu, Nicolae Popescu, Alexandru Zaharescu

Journal:

Journal of Algebra

Year:

2003

Language:

english

File:

PDF, 142 KB

english, 2003

44

Galois structures on plane compacts

Angel Popescu, Nicolae Popescu, Alexandru Zaharescu

Journal:

Journal of Algebra

Year:

2003

Language:

english

File:

PDF, 210 KB

english, 2003

45

The distribution of patterns of inverses modulo a prime

C.I. Cobeli, S.M. Gonek, A. Zaharescu

Journal:

Journal of Number Theory

Year:

2003

Language:

english

File:

PDF, 175 KB

english, 2003

46

Small values ofn2α (mod 1)

Alexandru Zaharescu

Journal:

Inventiones mathematicae

Year:

1995

Language:

english

File:

PDF, 426 KB

english, 1995

47

On the pair correlation for fractional parts of vector sequences

F. P. Boca, A. Zaharescu

Journal:

Archiv der Mathematik

Year:

2001

Language:

english

File:

PDF, 119 KB

english, 2001

48

The distribution of spacings between the fractional parts of n2α

Zeév Rudnick, Peter Sarnak, Alexandru Zaharescu

Journal:

Inventiones mathematicae

Year:

2001

Language:

english

File:

PDF, 182 KB

english, 2001

49

Generalization of a problem of Lehmer

Cristian Cobeli, Alexandru Zaharescu

Journal:

manuscripta mathematica

Year:

2001

Language:

english

File:

PDF, 62 KB

english, 2001

50

Irreducibility Results for Compositions of Polynomials with Integer Coefficients

Anca Iuliana Bonciocat, Alexandru Zaharescu

Journal:

Monatshefte für Mathematik

Year:

2006

Language:

english

File:

PDF, 123 KB

english, 2006

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