Zobrazeno 1 - 9
of 9
pro vyhledávání: '"11N13 (11Y35)"'
This is a list of problems that were collected from participants at the Comparative Prime Number Theory Symposium held at UBC from June 17 to June 21, 2024. Its goal is to stimulate research and future collaborations in this growing field. This event
Externí odkaz:
http://arxiv.org/abs/2407.03530
Autor:
Martin, Greg, Yang, Pu Justin Scarfy, Bahrini, Aram, Bajpai, Prajeet, Benli, Kübra, Downey, Jenna, Li, Yuan Yuan, Liang, Xiaoxuan, Parvardi, Amir, Simpson, Reginald, White, Ethan Patrick, Yip, Chi Hoi
The goal of this annotated bibliography is to record every publication on the topic of comparative prime number theory (through mid-2024) together with a summary of its results. We use a unified system of notation for the quantities being studied and
Externí odkaz:
http://arxiv.org/abs/2309.08729
Autor:
Martin, Greg, Scarfy, Justin
Comparative prime number theory is the study of the {\em{discrepancies}} of distributions when we compare the number of primes in different residue classes. This work presents a list of the problems being investigated in comparative prime number theo
Externí odkaz:
http://arxiv.org/abs/1202.3408
Autor:
Fiorilli, Daniel, Martin, Greg
Chebyshev was the first to observe a bias in the distribution of primes in residue classes. The general phenomenon is that if $a$ is a nonsquare\mod q and $b$ is a square\mod q, then there tend to be more primes congruent to $a\mod q$ than $b\mod q$
Externí odkaz:
http://arxiv.org/abs/0912.4908
Autor:
Feuerverger, Andrey, Martin, Greg
Publikováno v:
Experiment. Math. 9 (2000), no. 4, 535-570.
Rubinstein and Sarnak investigated systems of inequalities of the form pi(x;q,a_1) > ... > pi(x;q,a_r), where pi(x;q,a) denotes the number of primes up to x that are congruent to a mod q. They showed, under standard hypotheses on the zeros of Dirichl
Externí odkaz:
http://arxiv.org/abs/math/9910184
Autor:
Fiorilli, Daniel, Martin, Greg
Chebyshev was the first to observe a bias in the distribution of primes in residue classes. The general phenomenon is that if $a$ is a nonsquare\mod q and $b$ is a square\mod q, then there tend to be more primes congruent to $a\mod q$ than $b\mod q$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::417fee7c7e96878d3390b44c8f50b56d
https://hal.archives-ouvertes.fr/hal-02567791
https://hal.archives-ouvertes.fr/hal-02567791
Publikováno v:
Mathematics of Computation; May2022, Vol. 91 Issue 335, p1317-1365, 49p
Publikováno v:
Mathematics of Computation; 2004, Vol. 73 Issue 245, p451-473, 23p
Autor:
Ramaré, Olivier
Publikováno v:
Manuscripta Mathematica; Aug2002, Vol. 108 Issue 4, p495-513, 19p