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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

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

6

Finite trigonometric sums and class numbers

Bruce C. Berndt, Alexandru Zaharescu

Journal:

Mathematische Annalen

Year:

2004

Language:

english

File:

PDF, 198 KB

english, 2004

7

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

8

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

9

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

10

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

11

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

12

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

13

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

14

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

15

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

16

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

17

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

18

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

19

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

20

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

21

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

22

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

23

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

24

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

25

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

26

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

27

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

28

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

29

Trace on Cp

Victor Alexandru, Nicolae Popescu, Alexandru Zaharescu

Journal:

Journal of Number Theory

Year:

2001

Language:

english

File:

PDF, 290 KB

english, 2001

30

On a conjecture of Graham

Zaharescu Alexandru

Journal:

Journal of Number Theory

Year:

1987

Language:

english

File:

PDF, 346 KB

english, 1987

31

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

32

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

33

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

34

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

35

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

36

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

37

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

38

Small values ofn2α (mod 1)

Alexandru Zaharescu

Journal:

Inventiones mathematicae

Year:

1995

Language:

english

File:

PDF, 426 KB

english, 1995

39

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

40

Generalization of a problem of Lehmer

Cristian Cobeli, Alexandru Zaharescu

Journal:

manuscripta mathematica

Year:

2001

Language:

english

File:

PDF, 62 KB

english, 2001

41

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

42

On the Existence of Trace for Elements of(mathbb{C}_p)

Nicolae Popescu, Marian Vâjâitu, Alexandru Zaharescu

Journal:

Algebras and Representation Theory

Year:

2006

Language:

english

File:

PDF, 392 KB

english, 2006

43

Representation Results for Equivariant Rigid Analytic Functions

V. Alexandru, N. Popescu, M. Vâjâitu, A. Zaharescu

Journal:

Algebras and Representation Theory

Year:

2012

Language:

english

File:

PDF, 294 KB

english, 2012

44

Borwein's conjecture on average over arithmetic progressions

Alexandru Zaharescu

Journal:

The Ramanujan Journal

Year:

2006

Language:

english

File:

PDF, 157 KB

english, 2006

45

On the gaps in the Fourier expansion of cusp forms

Emre Alkan, Alexandru Zaharescu

Journal:

The Ramanujan Journal

Year:

2008

Language:

english

File:

PDF, 321 KB

english, 2008

46

On the index of fractions with square-free denominators in arithmetic progressions

Emre Alkan, Andrew H. Ledoan, Marian Vâjâitu, Alexandru Zaharescu

Journal:

The Ramanujan Journal

Year:

2008

Language:

english

File:

PDF, 585 KB

english, 2008

47

Derivations and generating degrees in the ring of arithmetical functions

Alexandru Zaharescu, Mohammad Zaki

Journal:

Proceedings Mathematical Sciences

Year:

2007

Language:

english

File:

PDF, 126 KB

english, 2007

48

Analytic normal basis theorem

Victor Alexandru, Nicolae Popescu, Alexandru Zaharescu

Journal:

Central European Journal of Mathematics

Year:

2008

Language:

english

File:

PDF, 289 KB

english, 2008

49

Galois Theory of BdR+

Adrian Iovita, Alexandru Zaharescu

Journal:

Compositio Mathematica

Year:

1999

Language:

english

File:

PDF, 283 KB

english, 1999

50

Proof of the HRT conjecture for configurations

Ciprian Demeter, Alexandru Zaharescu

Journal:

Journal of Mathematical Analysis and Applications

Year:

2012

Language:

english

File:

PDF, 154 KB

english, 2012