Special values of the Gamma function at CM points
نویسندگان
چکیده
منابع مشابه
Special values of Green functions at big CM points
We give a formula for the values of automorphic Green functions on the special rational 0-cycles (big CM points) attached to certain maximal tori in the Shimura varieties associated to rational quadratic spaces of signature (2d, 2). Our approach depends on the fact that the Green functions in question are constructed as regularized theta lifts of harmonic weak Maass forms, and it involves the S...
متن کاملStark–Heegner points and special values of L-series
Let E be an elliptic curve over Q attached to a newform f of weight two on Γ0(N). Let K be a real quadratic field, and let p||N be a prime of multiplicative reduction for E which is inert in K, so that the p-adic completion Kp of K is the quadratic unramified extension of Qp. Subject to the condition that all the primes dividing M := N/p are split in K, the article [Dar] proposes an analytic co...
متن کاملSpecial values of multiple gamma functions par William DUKE
We give a Chowla-Selberg type formula that connects a generalization of the eta-function to GL(n) with multiple gamma functions. We also present some simple infinite product identities for certain special values of the multiple gamma function.
متن کاملOn the Means of the Values of Prime Counting Function
In this paper, we investigate the means of the values of prime counting function $pi(x)$. First, we compute the arithmetic, the geometric, and the harmonic means of the values of this function, and then we study the limit value of the ratio of them.
متن کاملRational Approximations for Values of Derivatives of the Gamma Function
The arithmetic nature of Euler’s constant γ is still unknown and even getting good rational approximations to it is difficult. Recently, Aptekarev managed to find a third order linear recurrence with polynomial coefficients which admits two rational solutions an and bn such that an/bn converges subexponentially to γ, viewed as −Γ′(1), where Γ is the usual Gamma function. Although this is not ye...
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: The Ramanujan Journal
سال: 2014
ISSN: 1382-4090,1572-9303
DOI: 10.1007/s11139-013-9531-x