Publications related to Quadratic residue

Toroidal families and averages of L-functions, I

We initiate the study of certain families of L-functions attached to characters of subgroups of higher-rank tori, and of their average at the central point. In particular, we evaluate the average of the values L( 2 1 , chi a )L( 21 , chi b ) for arbitrary ...

Polish Acad Sciences Inst Mathematics-Impan2024

ALGEBRAIC TWISTS OF GL3 x GL2 L-FUNCTIONS

Philippe Michel, Yongxiao Lin

We prove that the coefficients of a GL3 x GL2 Rankin-Selberg L-function do not correlate with a wide class of trace functions of small conductor modulo primes, generalizing the corresponding result of Fouvry, Kowalski, and Michel for GL2 and of Kowalski, L ...

Baltimore2023

Arithmetic and geometric deformations of threefolds

Stefano Filipazzi, Fabio Bernasconi

We show that mixed-characteristic and equicharacteristic small deformations of 3-dimensional canonical (resp., terminal) singularities with perfect residue field of characteristic p>5 are canonical (resp., terminal). We discuss applications to arithmetic a ...

Hoboken2023

Simulating supercontinua from mixed and cascaded nonlinearities

Luis Guillermo Villanueva Torrijo, Victor Brasch, Furkan Ayhan, Tobias Herr, Thibault Voumard

Nonlinear optical frequency conversion is of fundamental importance in photonics and underpins countless of its applications: Sum- and difference-frequency generation in media with quadratic nonlinearity permits reaching otherwise inaccessible wavelength r ...

AIP Publishing2023

Byzantine consensus is Θ(n^2): the Dolev-Reischuk bound is tight even in partial synchrony!

Rachid Guerraoui, Jovan Komatovic, Pierre Philippe Civit, Manuel José Ribeiro Vidigueira, Vincent Gramoli, Seth Gilbert

The Dolev-Reischuk bound says that any deterministic Byzantine consensus protocol has (at least) quadratic (in the number of processes) communication complexity in the worst case: given a system with n processes and at most f < n/3 failures, any solution t ...

2023

The double exponential runtime is tight for 2-stage stochastic ILPs

Kim-Manuel Klein, Klaus Jansen, Alexandra Anna Lassota

We consider fundamental algorithmic number theoretic problems and their relation to a class of block structured Integer Linear Programs (ILPs) called 2-stage stochastic. A 2-stage stochastic ILP is an integer program of the form min{c(T)x vertical bar Ax = ...

SPRINGER HEIDELBERG2022

Ultrasensitive quantitative measurement of huntingtin phosphorylation at residue S13

Hilal Lashuel, Lara Petricca, Sean Michael Deguire

Huntington's disease (HD) is a progressive neurodegenerative disorder caused by an expansion of a CAG triplet repeat (encoding for a polyglutamine tract) within the first exon of the huntingtin gene. Expression of the mutant huntingtin (mHTT) protein can r ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2020

Experiments with the Markoff Surface

Matthew De Courcy-Ireland, Sandy Lee

We confirm, for the primes up to 3000, the conjecture of Bourgain-Gamburd-Sarnak and Baragar on strong approximation for the Markoff surface modulo primes. For primes congruent to 3 modulo 4, we find data suggesting that some natural graphs constructed fro ...

TAYLOR & FRANCIS INC2020

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Quadratic residue

Toroidal families and averages of L-functions, I

ALGEBRAIC TWISTS OF GL3 x GL2 L-FUNCTIONS

Arithmetic and geometric deformations of threefolds

Simulating supercontinua from mixed and cascaded nonlinearities

Byzantine consensus is Θ(n^2): the Dolev-Reischuk bound is tight even in partial synchrony!

The double exponential runtime is tight for 2-stage stochastic ILPs

A short note on inadmissible coefficients of weight 2 and 2k+1 newforms

Ultrasensitive quantitative measurement of huntingtin phosphorylation at residue S13

Experiments with the Markoff Surface

The fourth moment of individual Dirichlet L-functions on the critical line

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Chat with Graph Search

Toroidal families and averages of L-functions, I

Arithmetic and geometric deformations of threefolds

Ultrasensitive quantitative measurement of huntingtin phosphorylation at residue S13

The double exponential runtime is tight for 2-stage stochastic ILPs

Byzantine consensus is Θ(n^2): the Dolev-Reischuk bound is tight even in partial synchrony!

The fourth moment of individual Dirichlet L-functions on the critical line

ALGEBRAIC TWISTS OF GL3 x GL2 L-FUNCTIONS

A short note on inadmissible coefficients of weight 2 and 2k+1 newforms

Experiments with the Markoff Surface

Simulating supercontinua from mixed and cascaded nonlinearities