Asymptotics of class numbers
نویسندگان
چکیده
منابع مشابه
Asymptotics of class numbers
the sum ranging over all real quadratic orders with regulator bounded by x. Sarnak established this result by identifying the regulators with lengths of closed geodesics of the modular curve H/ SL2(Z) (Theorem 3.1 there) and by using the prime geodesic theorem for this Riemann surface. Actually, Sarnak proved not this result but the analogue where h(O) is replaced by the class number in the nar...
متن کاملO ct 2 00 3 Asymptotics of class numbers
the sum ranging over all real quadratic orders with regulator bounded by x. Sarnak established this result by identifying the regulators with lengths of closed geodesics of the modular curve H/ SL2(Z) (Theorem 3.1 there) and by using the prime geodesic theorem for this Riemann surface. Actually, Sarnak proved not this result but the analogue where h(O) is replaced by the class number in the nar...
متن کاملAsymptotics of several-partition Hurwitz numbers
We derive in this paper the asymptotics of several-partition Hurwitz numbers, relying on a theorem of Kazarian for the one-partition case and on an induction carried on by Zvonkine. Essentially, the asymptotics for several partitions is the same as the one-partition asymptotics obtained by concatenating the partitions. Résumé. Dans cet article, nous donnons l’asymptotique générale des nombres d...
متن کاملAsymptotics of Young Diagrams and Hook Numbers
Asymptotic calculations are applied to study the degrees of certain sequences of characters of symmetric groups. Starting with a given partition μ, we deduce several skew diagrams which are related to μ. To each such skew diagram there corresponds the product of its hook numbers. By asymptotic methods we obtain some unexpected arithmetic properties between these products. The authors do not kno...
متن کاملRecursions and Asymptotics of Intersection Numbers
We establish the asymptotic expansion of certain integrals of ψ classes on moduli spaces of curves Mg,n when either the g or n goes to infinity. Our main tools are cut-join type recursion formulae from the WittenKontsevich theorem as well as asymptotics of solutions to the first Painlevé equation. We also raise a conjecture on large genus asymptotics for n-point functions of ψ classes and parti...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Inventiones mathematicae
سال: 2004
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-004-0423-y