Results 11 to 20 of about 2,718 (90)
Hypergeometric decomposition of symmetric K3 quartic pencils [PDF]
Res Math Sci, 2020 We study the hypergeometric functions associated to five one-parameter deformations of Delsarte K3 quartic hypersurfaces in projective space. We compute all of their Picard--Fuchs differential equations; we count points using Gauss sums and rewrite this ...
Doran, Charles F. +5 more
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The reckoning of certain quartic and octic Gauss sums [PDF]
Glasgow Mathematical Journal, 1977 In this brief note, we evaluate certain quartic and octic Gauss sums with the use of theorems on fourth and eighth power difference sets. We recall that a subset H of a finite (additive) abelian group G is said to be a difference set of G [5, p. 64] if for some fixed natural number λ, every nonzero element of G can be written as a difference of two ...
Berndt, Bruce C., Chowla, Sarvadaman
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The conductor of a cyclic quartic field using Gauss sums [PDF]
Czechoslovak Mathematical Journal, 1997 This paper presents a new simple proof of the known expression for the conductor of a cyclic quartic extension of the rational field. The proof uses the known properties of quartic Gauss sums.
Spearman, B. K., Williams, K. S.
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Quartic Gauss sums over primes and metaplectic theta functions
, 2023 We improve 1987 estimates of Patterson for sums of quartic Gauss sums over primes. Our Type-I and Type-II estimates feature new ideas, including use of the quadratic large sieve over $\mathbb{Q}(i)$, and Suzuki's evaluation of the Fourier-Whittaker coefficients of quartic theta functions at squares. We also conjecture asymptotics for certain moments of
David, Chantal +3 more
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One level density of low-lying zeros of families of $L$-functions [PDF]
, 2010 In this paper, we prove some one level density results for low-lying zeros of families of $L$-functions. More specifically, the families under consideration are that of $L$-functions of holomorphic Hecke eigenforms of level 1 and weight $k$ twisted with ...
Davenport +4 more
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The phase structure of a chirally invariant lattice Higgs-Yukawa model for small and for large values of the Yukawa coupling constant [PDF]
, 2007 We consider a chirally invariant lattice Higgs-Yukawa model based on the Neuberger overlap operator. As a first step towards the eventual determination of Higgs mass bounds we study the phase diagram of the model analytically in the large Nf-limit.
A.K. De +8 more
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Asymmetric brane-worlds with induced gravity [PDF]
, 2005 The Randall-Sundrum scenario, with a 1+3-dimensional brane in a 5-dimensional bulk spacetime, can be generalized in various ways. We consider the case where the Z2-symmetry at the brane is relaxed, and in addition the gravitational action is generalized ...
Gergely, Laszlo, Maartens, Roy
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Kloosterman sums, elliptic curves, and irreducible polynomials with prescribed trace and norm [PDF]
, 2007 Let $\F_q$ ($q=p^r$) be a finite field. In this paper the number of irreducible polynomials of degree $m$ in $\F_q[x]$ with prescribed trace and norm coefficients is calculated in certain special cases and a general bound for that number is obtained ...
Moisio, Marko
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A new fourth power mean of two-term exponential sums
Open Mathematics, 2019 The main purpose of this paper is to use analytic methods and properties of quartic Gauss sums to study a special fourth power mean of a two-term exponential sums modp, with p an odd prime, and prove interesting new identities.
Li Chen, Xiao Wang
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Cohomology and the Brauer groups of diagonal surfaces
, 2021 We present a method for calculating the Brauer group of a surface given by a diagonal equation in the projective space. For diagonal quartic surfaces with coefficients in Q we determine the Brauer groups over Q and Q(i).Comment: 45 ...
Gvirtz, Damián, Skorobogatov, Alexei N.
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