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1

THE CONJECTURE IMPLIES THE RIEMANN HYPOTHESIS

Bettin, Sandro, Gonek, Steven M.

Journal:

Year:

2017

Language:

english

File:

PDF, 152 KB

english, 2017

2

The mean square of the product of the Riemann zeta-function with Dirichlet polynomials

Bettin, Sandro, Chandee, Vorrapan, Radziwiłł, Maksym

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Language:

english

File:

PDF, 436 KB

english

3

High moments of the Estermann function

Journal:

Algebra & Number Theory

Year:

2019

Language:

english

File:

PDF, 1.54 MB

english, 2019

4

Greedy approximations by signed harmonic sums and the ThueâMorse sequence

Bettin, Sandro, Molteni, Giuseppe, Sanna, Carlo

Journal:

Advances in Mathematics

Year:

2020

File:

PDF, 1.57 MB

2020

5

THE SECOND MOMENT OF THE RIEMANN ZETA FUNCTION WITH UNBOUNDED SHIFTS

Journal:

International Journal of Number Theory

Year:

2010

Language:

english

File:

PDF, 161 KB

english, 2010

6

On the reciprocity law for the twisted second moment of Dirichlet $L$-functions

Journal:

Transactions of the American Mathematical Society

Year:

2016

Language:

english

File:

PDF, 451 KB

english, 2016

7

Period functions and cotangent sums

Bettin, Sandro, Conrey, John

Journal:

Algebra & Number Theory

Year:

2013

Language:

english

File:

PDF, 1.91 MB

english, 2013

8

Trilinear forms with Kloosterman fractions

Bettin, Sandro, Chandee, Vorrapan

Journal:

Advances in Mathematics

Year:

2018

Language:

english

File:

PDF, 522 KB

english, 2018

9

Statistical distribution of the Stern sequence

Bettin, Sandro, Drappeau, Sary, Spiegelhofer, Lukas

Journal:

Commentarii Mathematici Helvetici

Year:

2019

Language:

english

File:

PDF, 434 KB

english, 2019

10

On the Distribution of a Cotangent Sum: Fig. 1.

Journal:

International Mathematics Research Notices

Year:

2015

Language:

english

File:

PDF, 161 KB

english, 2015

11

On the non-vanishing of certain Dirichlet series

Bettin, Sandro, Martin, Bruno

Journal:

Journal of Number Theory

Year:

2017

Language:

english

File:

PDF, 884 KB

english, 2017

12

The first moment of twisted Hecke $L$-functions with unbounded shifts

Journal:

Functiones et Approximatio Commentarii Mathematici

Year:

2017

Language:

english

File:

PDF, 471 KB

english, 2017

13

A conjectural extension of Hecke’s converse theorem

Bettin, Sandro, Bober, Jonathan W., Booker, Andrew R., Conrey, Brian, Lee, Min, Molteni, Giuseppe, Oliver, Thomas, Platt, David J., Steiner, Raphael S.

Journal:

The Ramanujan Journal

Year:

2017

Language:

english

File:

PDF, 536 KB

english, 2017

14

A congruence sum and rational approximations

Journal:

Rendiconti del Circolo Matematico di Palermo (1952 -)

Year:

2016

Language:

english

File:

PDF, 432 KB

english, 2016

15

Non-isotrivial elliptic surfaces with non-zero average root number

Bettin, Sandro, David, Chantal, Delaunay, Christophe

Journal:

Journal of Number Theory

Year:

2018

Language:

english

File:

PDF, 3.15 MB

english, 2018

16

Small values of signed harmonic sums

Bettin, Sandro, Molteni, Giuseppe, Sanna, Carlo

Journal:

Comptes Rendus Mathematique

Year:

2018

Language:

english

File:

PDF, 394 KB

english, 2018

17

High moments of the Estermann function

Journal:

Algebra & Number Theory

Year:

2019

File:

PDF, 1.54 MB

2019

18

A Note on the Dimension of the Largest Simple Hecke Submodule

Bettin, Sandro, Perret-Gentil, Corentin, Radziwiłł, Maksym

Journal:

International Mathematics Research Notices

Year:

2018

Language:

english

File:

PDF, 301 KB

english, 2018

19

THE POWER-SAVING MANIN–PEYRE CONJECTURE FOR A SENARY CUBIC

Bettin, Sandro, Destagnol, Kevin

Journal:

Year:

2019

Language:

english

File:

PDF, 459 KB

english, 2019

20

THE POWER-SAVING MANIN–PEYRE CONJECTURE FOR A SENARY CUBIC

Bettin, Sandro, Destagnol, Kevin

Journal:

Year:

2019

File:

PDF, 459 KB

2019