BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:The least prime number represented by a binary quadratic form
DTSTART:20191202T154500
DTEND:20191202T164500
DTSTAMP:20260408T065656Z
UID:6b0f907e0db3056fe8364679a5add0a8b0a350c7085f987ccaffe7dc
CATEGORIES:Conferences - Seminars
DESCRIPTION:Nasır Talebizadeh Sardari (Max-Planck-Institut für Matematik
 \, Bonn)\nLet $D<0$ be a fundamental discriminant and $h(D)$ be the class 
 number of $\\mathbb{Q}(\\sqrt{D})$. Let $R(X\,D)$ be the number of classes
  of the binary quadratic forms\n of discriminant $D$ which represent a pr
 ime number in the interval $[X\,2X]$. Moreover\, assume that $\\pi_{D}(X)$
  is the number of primes\, which split in $\\mathbb{Q}(\\sqrt{D})$ with no
 rm in the interval $[X\,2X].$ We prove that\n$$\\Big(\\frac{\\pi_D(X)}{\\p
 i(X)}\\Big)^2 \\ll \\frac{R(X\,D)}{h(D)}\\Big(1+\\frac{h(D)}{\\pi(X)}\\Big
 )\,$$\nwhere $\\pi(X)$ is the number of primes in the interval $[X\,2X]$ a
 nd the implicit constant in $\\ll$ is independent of $D$ and $X$.
LOCATION:GR C0 01 https://plan.epfl.ch/?room==GR%20C0%2001
STATUS:CONFIRMED
END:VEVENT
END:VCALENDAR