Applications of heat kernels on abelian groups: ζ(2n), quadratic reciprocity, Bessel integrals

Anders Karlsson

Type: Book-Chapter

Publication Date: 2011-11-04

Citations: 6

DOI: https://doi.org/10.1007/978-1-4614-1260-1_14

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+	Proofs of the Quadratic Reciprocity Law	2015	Oswald Baumgart
+	An Invitation to Modern Number Theory	2006	Steven J. Miller Ramin Takloo-Bighash
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+	Chapter One of An Invitation to Modern Number Theory	2005	Steven J. Miller Ramin Takloo-Bighash
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+ PDF Chat	An explicit prime geodesic theorem for discrete tori and the hypergeometric functions	2017	Yoshinori Yamasaki

Works Cited by This (18)

Action	Title	Year	Authors
+	Heat kernels, theta identities, and zeta functions on cyclic groups	2006	Anders Karlsson Markus Neuhauser
+	Riemann's Zeta Function	1974	Harold M. Edwards
+	The Ubiquitous Heat Kernel	2001	Jay Jorgenson Serge Lang
+	Einführung in die Theorie der Algebraischen Zahlen und Funktionen	1963	Martin Eichler
+	A Classical Introduction to Modern Number Theory	1982	Kenneth Ireland Michael Rosen
+	Theorie und Anwendung der Laplace-Transformation	1937	Gustav Doetsch
+	Generalized series of Bessel functions	2002	Ali A. Al-Jarrah Kevin M. Dempsey M. L. Glasser
+	Selberg's trace formula as applied to a compact riemann surface	1972	H. P. McKean
+	Lectures on the Theory of Algebraic Numbers	1981	E. Hecke
+	An Introduction to the Theory of Numbers.	1961	W. J. LeVeque Ivan Niven Herbert S. Zuckerman