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Chowla-selberg formula

WebJan 1, 2006 · On the periods of Abelian integrals and a formula of Chowla and Selberg. Inventiones Mathematicae, 45:193–211, 1978. CrossRef MathSciNet MATH Google … WebThe Chowla-Selberg formula [4, 5] relates values of the Dedekind eta function at CM points associated to imaginary quadratic elds to values of Euler’s gamma function at …

The Chowla–Selberg formula for abelian CM fields and Faltings …

WebJul 31, 1997 · It reduces to the famous formula of Chowla and Selberg in the particular case p=2, \(\), q=0. Some variations of the formula and physical applications are considered. Discover the world's research WebAug 1, 1979 · On an identity of chowla and selberg. JOURNAL OF NUMBER THEORY 11, 344-348 (1979) On an Identity of Chowla and Selberg BENEDICT H. GROSS* Department of Mathematics, Princeton University, Princeton, New Jersey 08540 Received November 6, 1978 DEDICATED TO PROFESSOR S. CHOWLA ON THE OCCASION … soft touch rv padded headliner https://eventsforexperts.com

A p -adic analogue of the Chowla-Selberg formula - Springer

WebThe Chowla-Selberg formula has many applications in number theory. In particular, it can be used to investigate the distribution of the complex zeros of ZQ(s). For example, studies of Stark [10], Fujii [4] and Ki [8]. Therefore, it is expected that if one obtains some suitable analogue of the Chowla-Selberg formula for ζ(s), then it 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, … WebThe Chowla-Selberg formula [CS49, CS67] is a remarkable identity which relates values of the Dedekind eta function at CM points to values of Euler’s gamma function at rational numbers. This formula arises in connection with many topics in … soft touch saxony carpet

The Chowla–Selberg Formula and The Colmez Conjecture

Category:Title: An analogue of the Chowla-Selberg formula for several ...

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Chowla-selberg formula

The Chowla—Selberg Formula and The Colmez …

WebChowla-Selberg Formula[4]. Y [a;b;c]†H(d) a−1=4 (b+ p d)=2a = (2ˇjdj)−h(d)=4 8 < : Yjdj m=1 (—(m=jdj))(d=m) 9 = ; w(d)=8 where —(z) is the gamma function, (d=m) is the Kro- … WebThe Chowla-Selberg formula has a beautiful geometric reformulation due to Deligne [Del85] as an identity for the Faltings height of a CM elliptic curve (see equation (1.8)). In …

Chowla-selberg formula

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WebThe Chowla–Selberg formula for abelian CM fields and Faltings heights Adrian Barquero-Sanchez and Riad Masri Compositio Mathematica Published online: 24 September 2015 … WebChowla-Selberg formula, Faltings heights, and arithmetic intersection theory. 1.2. The Chowla-Selberg formula. We begin by reviewing the classical Chowla-Selberg …

Web1. The Chowla-Selberg Formula The Dedekind eta function is defined for τ on the upper half complex plane by the q-series (1) η(τ) = q1/24 Y∞ n=1 (1−qn) where q = e2πiτ. … WebA generalization of the Chowla-Selberg formula and the zeta functions of quadratic orders. The purpose of this note is to present an identity which generalizes a formula of Chowla …

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 WebIn this paper we will establish a Chowla-Selberg formula for abelian CM elds. This is an identity which relates values of a Hilbert modular function at CM points to values of and an analogous function 2 at rational numbers. The function 2 was studied extensively by Deninger [D] in his work on the Chowla-Selberg formula for real quadratic elds ...

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 …

WebA Math. Sci. > Volume 66 > Issue 7 > Article. A generalization of the Chowla-Selberg formula and the zeta functions of quadratic orders. soft touch pyjamas for womenWebJun 5, 2006 · Roughly speaking, the Chowla-Selberg formula is the formula that expresses the Epstein zeta-function by an infinite series consisting of -Bessel functions. … slow cooker turkey legs wrapped in foilWebThe Chowla–Selberg formula for abelian CM fields and Faltings heights. Part of:Algebraic number theory: global fieldsDiscontinuous groups and automorphic formsArithmetic … softtouch solutions