A new proof of the limit formula of Kronecker

Yoichi Motohashi

Type: Article

Publication Date: 1968-01-01

Citations: 14

DOI: https://doi.org/10.3792/pja/1195521077

Let Q(x, y)= ax + 2bxy + cy (d= ac-b) be a positive definite quadratic orm with discriminant -4d.The Epstein zeta-unction of Q is defined byfor a>l.

Similar Works

Action	Title	Year	Authors
+	An application of the Kronecker limit formula	1994	Mohamed Amrani
+	On a generalization of Kronecker’s limit formula	2016	Sami Omar
+	Applications of a limit formula of Kronecker’s type	2003	Hiroyuki Yoshida
+	A simple proof of a Theorem of Kronecker	1929	L. C. Mathewson
+ PDF Chat	A refinement of two theorems of Kronecker.	1965	Andrzej Schinzel Hans Zassenhaus
+ PDF Chat	On Kronecker's limit formula and the hypergeometric function.	2008	Shigeru Kanemitsu Yoshio Tanigawa Haruo Tsukada
+	A Kronecker limit formula for real quadratic fields	1975	Don Zagier
+	Two variations of a theorem of Kronecker	2005	Artūras Dubickas Chris Smyth
+ PDF Chat	Generalization of a theorem of Kronecker	1931	B. L. van der Waerden
+	An elementary proof of a theorem of Kronecker	1977	Joel Spencer
+	A Simple Proof for a Theorem of Kronecker	1978	Gebhard Greiter
+	A Simple Proof for a Theorem of Kronecker	1978	Gebhard Greiter
+	An equivalent of Kronecker's Theorem for powers of an Algebraic Number	2009	Nevio Dubbini Maurizio Monge
+	Some Applications of Kronecker's Limit Formulas	1964	K. Ramachandra
+	The Kronecker limit formulas via the distribution relation	2008	Kenichi Bannai Shinichi Kobayashi
+	A note on the Kronecker limit formula for real quadratic fields	1986	Shigeki Egami
+ PDF Chat	A note on Kronecker’s approximation theorem	2024	Daria Maksimova
+	A Note on Kronecker's Approximation Theorem	1986	Ka-Lam Kueh
+	A Note on Kronecker's Approximation Theorem	1986	Ka-Lam Kueh
+	A note on Kronecker's approximation theorem	1986	KuehKa Lam

Action	Title	Year	Authors
+	Золотое и серебряное сечения в адиабатической динамике пробной частицы в модулярной области	2024	A. Gorsky Sergei Nechaev
+ PDF Chat	Determinant of Laplacians on Heisenberg manifolds	2003	Kenrô Furutani Serge de Gosson
+ PDF Chat	Applications of the theory of modular forms to number theory	1980	O. M. Fomenko
+	A simple evaluation of a theta value and the Kronecker limit formula	2021	Fernando Chamizo
+ PDF Chat	ON THE EPSTEIN ZETA FUNCTION	1996	Zhang Nan-Yue Kenneth S. Williams
+	Generalized Devil's staircase and RG flows	2023	Ana Flack A. Gorsky Sergei Nechaev
+ PDF Chat	Identities involving the coefficients of a class of Dirichlet series. V, VI	1971	Bruce C. Berndt
+ PDF Chat	ON UNIFIED KRONECKER LIMIT FORMULAE	2002	Hiroshi Kumagai
+ PDF Chat	Zeta functions on tori using contour integration	2014	E. Elizalde Klaus Kirsten Nicolas Robles Floyd L. Williams
+	On the Chowla–Selberg integral formula for non-holomorphic Eisenstein series	2010	Kalyan Chakraborty

Action	Title	Year	Authors
+	Lectures on advanced analytic number theory	1961	Carl Ludwig Siegel S. Raghavan
+	Lehrbuch der Algebra	1921	Heinrich Weber
+ PDF Chat	Zur Theorie allgemeiner Zetafunctionen	1903	Paul S. Epstein