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Displaying 1081 – 1100 of 3014

On $p$ -adic zeros of systems of diagonal forms restricted by a congruence condition

Hemar Godhino, Paulo H. A. Rodrigues (2007)

Journal de Théorie des Nombres de Bordeaux

This paper is concerned with non-trivial solvability in $p$ -adic integers of systems of additive forms. Assuming that the congruence equation $a x^{k} + b y^{k} + c z^{k} \equiv d (m o d p)$ has a solution with $x y z ≢ 0 (m o d p)$ we have proved that any system of $R$ additive forms of degree $k$ with at least $2 \cdot 3^{R - 1} \cdot k + 1$ variables, has always non-trivial $p$ -adic solutions, provided $p ∤ k$ . The assumption of the solubility of the above congruence equation is guaranteed, for example, if $p > k^{4}$ .

On p-adic analogues of the conjectures of Birch and Swinnerton-Dyer.

B. Mazur, J. Tate, J. Teitelbaum (1986)

Inventiones mathematicae

On p-adic L-functions and normal bases of rings of integers.

Humio Ichimura (1995)

Journal für die reine und angewandte Mathematik

On p-adic L-functions and the Riemann-Hurwitz genus formula

Sang G. Han (1991)

Acta Arithmetica

On p-adic L-functions Associated to Elliptic Curves.

Stephen Lichtenbaum (1980)

Inventiones mathematicae

On p-Adic L-Functions over Real Quadratic Fields.

J. Coates, W. Sinnot (1974)

Inventiones mathematicae

On p-Adic Power Series.

Paul Monsky (1981)

Mathematische Annalen

On p-adic Siegel modular forms of non-real Nebentypus

Toshiyuki Kikuta (2012)

Acta Arithmetica

On p-adic Siegel-Eisenstein series of weight k

Yoshinori Mizuno (2008)

Acta Arithmetica

On pairings of the first 2n natural numbers

G. Huff (1973)

Acta Arithmetica

On pairs of additive cubic equations.

R.C. Baker, J. Brüdern (1988)

Journal für die reine und angewandte Mathematik

On pairs of binary forms with given resultant or given semi-resultant.

Györy, K. (1993)

Mathematica Pannonica

On pairs of closed geodesics on hyperbolic surfaces

Nigel J. E. Pitt (1999)

Annales de l'institut Fourier

In this article we prove a trace formula for double sums over totally hyperbolic Fuchsian groups $Γ$ . This links the intersection angles and common perpendiculars of pairs of closed geodesics on $Γ / H$ with the inner products of squares of absolute values of eigenfunctions of the hyperbolic laplacian $Δ$ . We then extract quantitative results about the intersection angles and common perpendiculars of these geodesics both on average and individually.

Currently displaying 1081 – 1100 of 3014

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Displaying 1081 – 1100 of 3014

On $p$ -adic zeros of systems of diagonal forms restricted by a congruence condition

On p-adic analogues of the conjectures of Birch and Swinnerton-Dyer.

On p-adic L-functions and normal bases of rings of integers.

On p-adic L-functions and the Riemann-Hurwitz genus formula

On p-adic L-functions Associated to Elliptic Curves.

On p-Adic L-Functions over Real Quadratic Fields.

On p-Adic Power Series.

On p-adic Siegel modular forms of non-real Nebentypus

On p-adic Siegel-Eisenstein series of weight k

On pairings of the first 2n natural numbers

On pairs of additive cubic equations.

On pairs of binary forms with given resultant or given semi-resultant.

On pairs of closed geodesics on hyperbolic surfaces

On pairs of linear equations in three prime variables and an application to Goldbach's problem.

On partition functions and divisor sums.

On partitions and cyclotomic polynomials.

On partitions of N into summands coprime to N.

On partitions of N into summands coprime to N. (Short Communication).

On partitions, surjections, and Stirling numbers.

On partitions with difference conditions.

Currently displaying 1081 – 1100 of 3014