Concept

Generalized Riemann hypothesis

Related publications (33)

Unique decomposition of homogeneous languages and application to isothetic regions

A language is said to be homogeneous when all its words have the same length. Homogeneous languages thus form a monoid under concatenation. It becomes freely commutative under the simultaneous actions of every permutation group G(n) on the collection of ho ...

2019

Bilinear forms with Kloosterman sums and applications

Philippe Michel

We prove nontrivial bounds for general bilinear forms in hyper-Kloosterman sums when the sizes of both variables may be below the range controlled by Fourier-analytic methods (Polya-Vinogradov range). We then derive applications to the second moment of cus ...

Annal Mathematics2017

Observation of an alternative chi(c0)(2P) candidate in e(+)e(-)-> J/psi D(D)over-bar

Olivier Schneider, Mingkui Wang, Chao Wang, Sun Hee Kim, Tara Nanut, Jun Yong Kim, Ji Hyun Kim, Donghyun Kim, Dipanwita Dutta

We perform a full amplitude analysis of the process e(+)e(-)-> J/psi D (D) over bar, where D refers to either D-0 or D+. A new charmoniumlike state X*(3860) that decays to D (D) over bar is observed with a significance of 6.5 sigma. Its mass is (3862(-32)( ...

Amer Physical Soc2017

Energy Scan of the e(+)e(-) -> h(b)(nP)pi(+)pi(-) (n=1, 2) Cross Sections and Evidence for gamma(11020) Decays into Charged Bottomoniumlike States

Olivier Schneider, Mingkui Wang, Chao Wang, Tagir Aushev, Ho Ling Li, Sun Hee Kim, Tara Nanut, Jun Yong Kim, Ji Hyun Kim, Donghyun Kim, Xiao Wang

Using data collected with the Belle detector at the KEKB asymmetric-energy e(+)e(-) collider, we measure the energy dependence of the e(+)e(-) -> h(b)(nP)pi(+)pi(-) (n = 1, 2) cross sections from thresholds up to 11.02 GeV. We find clear gamma(10860) and g ...

Amer Physical Soc2016

Algebraic twists of modular forms and Hecke orbits

Philippe Michel

We consider the question of the correlation of Fourier coefficients of modular forms with functions of algebraic origin. We establish the absence of correlation in considerable generality (with a power saving of Burgess type) and a corresponding equidistri ...

Springer Verlag2015

Mobilities after the car

Alexandre André Robert Rigal, André Ourednik, Jade Rudler

For many, the self-evident use of the car blends out other possible mobilities. We seek a way to unfold the future by questioning other ways of moving around and living. In order to do so, we consider automobility as a problem to which solutions can be fou ...

2015

Algebraic Trace Functions Over The Primes

Philippe Michel

We study sums over primes of trace functions of l-adic sheaves. Using an extension of our earlier results on algebraic twists of modular forms to the case of Eisenstein series and bounds for Type II sums based on similar applications of the Riemann hypothe ...

Duke Univ Press2014

Generalized Bombieri-Lagarias' Theorem And Generalized Li'S Criterion With Its Arithmetic Interpretation

We show that Li's criterion equivalent to the Riemann hypothesis, i.e., the statement that the sums k(n) = Sigma(rho)(1-(1-1/rho)(n)) over zeros of the Riemann xi-function and the derivatives lambda(n) equivalent to 1/(n-1)! d(n)/dz(n)(z(n-1) ln (xi(z)))ve ...

Springer Verlag2014

A Network Analysis Approach of the Venetian Incanto System

Frédéric Kaplan, Yannick Rochat, Andrea Mazzei, Mélanie Suzanne Charlotte Fournier

The objective of this paper was to perform new analyses about the structure and evolution of the Incanto system. The hypothesis was to go beyond the textual narrative or even cartographic representation thanks to network analysis, which could potentially o ...

2014

Some applications of the Weil-Barner explicit formula

Thorsten Kleinjung

The Weil-Barner explicit formula is applied to the prime counting function and to the problem of numerical partial verification of the Riemann hypothesis. ...

Wiley-V C H Verlag Gmbh2013

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