AbstractIn this note we present a short and elementary proof of Heckeʼs reciprocity law for Hecke–Gauss sums of number fields
AbstractLet m⩾−1 be an integer. We give a correspondence between integer solutions to the parametric...
In this paper, we prove that every sufficiently large positive integer satisfying some necessary con...
Let r3(n) be the number of representations of a positive integer n as a sum of three squares of inte...
Using analytic functional equations, Berndt derived three reciprocity laws connecting five arithmeti...
We propose a certain formula of Dedekind sum by using two mutually distinct methods. The one is an e...
AbstractWe prove a reciprocity formula between Gauss sums that is used in the computation of certain...
AbstractIn this paper we give a new proof for the classification of irreducible modules of a Hecke a...
AbstractIn this paper, we study on two subjects. We first construct degenerate analogues of Dedekind...
AbstractThe well-known law of quadratic reciprocity has over 150 proofs in print. We establish a rel...
AbstractThe classical Dedekind sums were found in transformation formulae of η-functions. It is know...
AbstractGaraschuk and Lisoněk (2008) in [3] characterised ternary Kloosterman sums modulo 4, leaving...
AbstractWe determine when there exists a nonzero homomorphism between principal series representatio...
AbstractIn this paper derivatives of Dedekind sums are defined, and their reciprocity laws are prove...
AbstractTextIn this paper we investigate higher order dimensional Dedekind–Rademacher sums given by ...
Let o be the ring of integers in a finite extension (Formula presented.) and (Formula presented.) be...
AbstractLet m⩾−1 be an integer. We give a correspondence between integer solutions to the parametric...
In this paper, we prove that every sufficiently large positive integer satisfying some necessary con...
Let r3(n) be the number of representations of a positive integer n as a sum of three squares of inte...
Using analytic functional equations, Berndt derived three reciprocity laws connecting five arithmeti...
We propose a certain formula of Dedekind sum by using two mutually distinct methods. The one is an e...
AbstractWe prove a reciprocity formula between Gauss sums that is used in the computation of certain...
AbstractIn this paper we give a new proof for the classification of irreducible modules of a Hecke a...
AbstractIn this paper, we study on two subjects. We first construct degenerate analogues of Dedekind...
AbstractThe well-known law of quadratic reciprocity has over 150 proofs in print. We establish a rel...
AbstractThe classical Dedekind sums were found in transformation formulae of η-functions. It is know...
AbstractGaraschuk and Lisoněk (2008) in [3] characterised ternary Kloosterman sums modulo 4, leaving...
AbstractWe determine when there exists a nonzero homomorphism between principal series representatio...
AbstractIn this paper derivatives of Dedekind sums are defined, and their reciprocity laws are prove...
AbstractTextIn this paper we investigate higher order dimensional Dedekind–Rademacher sums given by ...
Let o be the ring of integers in a finite extension (Formula presented.) and (Formula presented.) be...
AbstractLet m⩾−1 be an integer. We give a correspondence between integer solutions to the parametric...
In this paper, we prove that every sufficiently large positive integer satisfying some necessary con...
Let r3(n) be the number of representations of a positive integer n as a sum of three squares of inte...
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