WebIn this paper we establish a Chowla–Selberg formula for abelian CM fields. This is an identity which relates values of a Hilbert modular function at CM points to values of Euler’s gamma function ${\rm\Gamma}$ and an analogous function ${\rm\Gamma}_{2}$ at rational numbers. We combine this identity with work of Colmez to relate the CM values of the … Webthe Chowla-Selberg formula for elliptic integrals. The continuous family of abelian varieties he high-lighted (over a base which would now be called a Shimura variety associated to …

On p-Adic Absolute CM-Periods I - JSTOR

WebChowla-Selberg formula; actually their proof, which relies on the analytic theory of elliptic functions, yields a completely explicit identity. Now let v E be a differential of the second kind on E, defined over Q, which is an eigenform for the complex multiplication on … WebSarvadaman D. S. Chowla (22 October 1907 – 10 December 1995) was an Indian American mathematician, specializing in number theory. Early life [ edit ] He was born in London, … how to add powerbi report to sharepoint

The geometric Chowla-Selberg formula. - Texas A&M …

WebChowla-Selberg formula, Faltings heights, and arithmetic intersection theory. 1.2. The Chowla-Selberg formula. We begin by reviewing the classical Chowla-Selberg … WebDec 28, 2015 · Chowla and Selberg proved their formula analytically, using the Kronecker limit formula. It seems that they announced the formula in 1949 but did not publish their … WebOn the periods of abelian integrals and a formula of Chowla and Selberg Benedict H. Gross 1 Inventiones mathematicae volume 45 , pages 193–211 ( 1978 ) Cite this article how to add powerpoint slides to google docs