AbstractWe show a p-adic limit formula for Gauss sums, which implies the Katz limit formula (in “Automorphic Forms, Representation Theory and Arithmetics: Proceedings” (S. Gelbart et al., Eds.), pp. 165–245, Tata Inst., Bombay, 1979) and therefore the Gross-Koblitz formula (Ann. of Math. 57 (1980), 83–96)
AbstractIn this paper we prove that Anderson's root numbers introduced in [1] are certain products o...
AbstractLet Zp be the ring of p-adic integers. Let a and q be two units of Zp, q not a root of unity...
The formula of the title relates $p$-adic heights of Heegner points and derivatives of $p$-adic $L$-...
AbstractWe show a p-adic limit formula for Gauss sums, which implies the Katz limit formula (in “Aut...
AbstractConsider a Gauss sum for a finite field of characteristic p, where p is an odd prime. When s...
In 2005 Blache studied certain generalized Gauss sums and established an analogue for them of Sticke...
AbstractLet K be a p-adic field, R the valuation ring of K, and P the maximal ideal of R. Let Y⊆R2 b...
AbstractWe define the p-density of a finite subset D⊂Nr, and show that it gives a sharp lower bound ...
AbstractGauss' original proof for the value of Gaussian sums relies on a summation of Gaussian polyn...
In 2005 Blache studied certain generalized Gauss sums and established an analogue for them of Sticke...
In 2005 Blache studied certain generalized Gauss sums and established an analogue for them of Sticke...
AbstractLet d(ω; α, γ) be the number of divisors of the Gaussian integer ω which lie in the arithmet...
AbstractFor a prime numberpand a number fieldk, letk∞/kbe the cyclotomic Zp-extension. LetA∞be the p...
We show the residue formula of the Frobenius intertwiners on hypergeometric differential equations, ...
We show the residue formula of the Frobenius intertwiners on hypergeometric differential equations, ...
AbstractIn this paper we prove that Anderson's root numbers introduced in [1] are certain products o...
AbstractLet Zp be the ring of p-adic integers. Let a and q be two units of Zp, q not a root of unity...
The formula of the title relates $p$-adic heights of Heegner points and derivatives of $p$-adic $L$-...
AbstractWe show a p-adic limit formula for Gauss sums, which implies the Katz limit formula (in “Aut...
AbstractConsider a Gauss sum for a finite field of characteristic p, where p is an odd prime. When s...
In 2005 Blache studied certain generalized Gauss sums and established an analogue for them of Sticke...
AbstractLet K be a p-adic field, R the valuation ring of K, and P the maximal ideal of R. Let Y⊆R2 b...
AbstractWe define the p-density of a finite subset D⊂Nr, and show that it gives a sharp lower bound ...
AbstractGauss' original proof for the value of Gaussian sums relies on a summation of Gaussian polyn...
In 2005 Blache studied certain generalized Gauss sums and established an analogue for them of Sticke...
In 2005 Blache studied certain generalized Gauss sums and established an analogue for them of Sticke...
AbstractLet d(ω; α, γ) be the number of divisors of the Gaussian integer ω which lie in the arithmet...
AbstractFor a prime numberpand a number fieldk, letk∞/kbe the cyclotomic Zp-extension. LetA∞be the p...
We show the residue formula of the Frobenius intertwiners on hypergeometric differential equations, ...
We show the residue formula of the Frobenius intertwiners on hypergeometric differential equations, ...
AbstractIn this paper we prove that Anderson's root numbers introduced in [1] are certain products o...
AbstractLet Zp be the ring of p-adic integers. Let a and q be two units of Zp, q not a root of unity...
The formula of the title relates $p$-adic heights of Heegner points and derivatives of $p$-adic $L$-...
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