Add to ORKGIn this note we present a short and elementary proof of Hecke’s reci-procity law for Hecke-Gauss sums of number fields. In Chapter VIII of his book [Hec70], Hecke introduced and studied cer-tain Gauss sums associated to arbitrary number fields. In particular, he discovered a reciprocity law for these sums [Hec70, Satz 163, p. 240], which he proved by analyzing the values of suitable theta functions in the cusps. The purpose of the present note is to give a short and elementary proof of Hecke’s reciprocity law. Our proof is based on Milgram’s formula [MH73, p. 127
This section is devoted to a brief presentation of Artin’s reciprocity law in the classical ideal th...
AbstractIn this article, we prove Wiles and Coates–Wiles explicit reciprocity laws for the local sym...
AbstractIn Section 128 of Smith's “Report on the Theory of Numbers” (Chelsea, New York, 1965) one fi...
AbstractIn this note we present a short and elementary proof of Heckeʼs reciprocity law for Hecke–Ga...
We derive an explicit formula for Hecke Gauss sums of quadratic number fields. As an immediate conse...
AbstractIn the 1920s Hecke posed the problem of providing the analytic proof of the reciprocity law ...
AbstractIn the 1920s Hecke posed the problem of providing the analytic proof of the reciprocity law ...
In the 1920s Hecke posed the problem of providing the analytic proof of the reciprocity law for the ...
In the 1920s Hecke posed the problem of providing the analytic proof of the reciprocity law for the ...
was guessed by Euler and Legendre and whose first complete proof was supplied by Gauss. A result cen...
Abstract. We discuss number theory with the ultimate goal of understanding quadratic reciprocity. We...
Abstract. A proof of quadratic reciprocity over function fields is given using the inversion formula...
The general Dedekind-Rademacher sums are defined, for positive integers a, b, c and real numbers x, ...
This paper is a summary of some papers [4,5,6] such that using special commutative group algebras, w...
Using analytic functional equations, Berndt derived three reciprocity laws connecting five arithmeti...
This section is devoted to a brief presentation of Artin’s reciprocity law in the classical ideal th...
AbstractIn this article, we prove Wiles and Coates–Wiles explicit reciprocity laws for the local sym...
AbstractIn Section 128 of Smith's “Report on the Theory of Numbers” (Chelsea, New York, 1965) one fi...
AbstractIn this note we present a short and elementary proof of Heckeʼs reciprocity law for Hecke–Ga...
We derive an explicit formula for Hecke Gauss sums of quadratic number fields. As an immediate conse...
AbstractIn the 1920s Hecke posed the problem of providing the analytic proof of the reciprocity law ...
AbstractIn the 1920s Hecke posed the problem of providing the analytic proof of the reciprocity law ...
In the 1920s Hecke posed the problem of providing the analytic proof of the reciprocity law for the ...
In the 1920s Hecke posed the problem of providing the analytic proof of the reciprocity law for the ...
was guessed by Euler and Legendre and whose first complete proof was supplied by Gauss. A result cen...
Abstract. We discuss number theory with the ultimate goal of understanding quadratic reciprocity. We...
Abstract. A proof of quadratic reciprocity over function fields is given using the inversion formula...
The general Dedekind-Rademacher sums are defined, for positive integers a, b, c and real numbers x, ...
This paper is a summary of some papers [4,5,6] such that using special commutative group algebras, w...
Using analytic functional equations, Berndt derived three reciprocity laws connecting five arithmeti...
This section is devoted to a brief presentation of Artin’s reciprocity law in the classical ideal th...
AbstractIn this article, we prove Wiles and Coates–Wiles explicit reciprocity laws for the local sym...
AbstractIn Section 128 of Smith's “Report on the Theory of Numbers” (Chelsea, New York, 1965) one fi...