Search Results - "Journal of number theory"

The elliptic dilogarithm for the sunset graph by Bloch, Spencer, Vanhove, Pierre

“…We study the sunset graph defined as the scalar two-point self-energy at two-loop order. We evaluated the sunset integral for all identical internal masses in…”
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Integral bases and monogenity of pure fields by Gaál, István, Remete, László

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MacMahon's partition analysis XIII: Schmidt type partitions and modular forms by Andrews, George E., Paule, Peter

“…In 1999, Frank Schmidt noted that the number of partitions of integers with distinct parts in which the first, third, fifth, etc., summands add to n is equal…”
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Notes on isocrystals by Kedlaya, Kiran S.

“…For varieties over a perfect field of characteristic p, étale cohomology with Qℓ-coefficients is a Weil cohomology theory only when ℓ≠p; the corresponding role…”
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Massey products in Galois cohomology and the elementary type conjecture by Quadrelli, Claudio

“…Let p be a prime. We prove that a positive solution to Efrat's Elementary Type Conjecture implies a positive solution to a strengthened version of Minač–Tân's…”
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Pair correlations and equidistribution by Aistleitner, Christoph, Lachmann, Thomas, Pausinger, Florian

“…A deterministic sequence of real numbers in the unit interval is called equidistributed if its empirical distribution converges to the uniform distribution…”
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Modular hyperbolas and bilinear forms of Kloosterman sums by Shkredov, I.D.

“…In this paper we study incidences for hyperbolas in finite field with p elements and show how linear sum–product methods work for such curves. As an…”
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Density of power-free values of polynomials II by Lapkova, Kostadinka, Xiao, Stanley Yao

“…In this paper we prove that polynomials F(x1,⋯,xn)∈Z[x1,⋯,xn] of degree d≥3, satisfying certain hypotheses, take on the expected density of (d−1)-free values…”
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Uniform effective estimates for |L(1,χ) by Languasco, Alessandro, Trudgian, Timothy S.

“…Let L(s,χ) be the Dirichlet L-function associated to a non-principal primitive Dirichlet character χ defined modq, where q≥3. We prove, under the assumption of…”
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Euler sums and integrals of polylogarithm functions by Xu, Ce, Yan, Yuhuan, Shi, Zhijuan

“…This paper develops an approach to evaluation of Euler sums and integrals of polylogarithm functions. The approach is based on simple Cauchy product formula…”
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On dihedral Pólya fields by Tougma, Charles Wend-Waoga

“…A number field is a Pólya field when the module of integer-valued polynomials over its ring of integers has a regular basis. A quartic field is a D4-field when…”
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The characteristic cycle of a non-confluent ℓ-adic GKZ hypergeometric sheaf by Liu, Peijiang

“…An ℓ-adic GKZ hypergeometric sheaf is defined analogously to a GKZ hypergeometric D-module. We introduce an algorithm of computing the characteristic cycle of…”
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On PGL2(F7) and PSL2(F7) number fields ramified at a single prime by Ogasawara, Takeshi, Schaeffer, George J.

“…We present new examples of PGL2(F7) and PSL2(F7) number fields ramified at a single prime. To find these number fields we employ the following methods: (i)…”
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Recurrence formulae for spectral determinants by Cunha, José, Freitas, Pedro

“…We develop a unified method to study spectral determinants for several different manifolds, including spheres and hemispheres, and projective spaces. This is a…”
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On PGL 2 ( F 7 ) and PSL 2 ( F 7 ) number fields ramified at a single prime by Ogasawara, Takeshi, Schaeffer, George J.

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On the Selmer group and rank of a family of elliptic curves and curves of genus one violating the Hasse principle by Agathocleous, Eleni

“…We study an infinite family of j-invariant zero elliptic curves ED:y2=x3+16D and their λ-isogenous curves ED′:y2=x3−27⋅16D, where D and D′=−3D are fundamental…”
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Maximally elastic quadratic fields by Pollack, Paul

“…Recall that for a domain R where every nonzero nonunit factors into irreducibles, the elasticity of R is defined assup⁡{sr:π1⋯πr=ρ1⋯ρs, with…”
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Common values of linear recurrences related to Shank's simplest cubics by Pethő, Attila, Tengely, Szabolcs

“…Let A,B,C∈Z not all zeroes and let F(u,n)=F(A,B,C,u,n) be the linear recursive sequence, which is defined by the initial terms F(u,0)=A,F(u,1)=B,F(u,2)=C and…”
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On the number of prime factors with a given multiplicity over h-free and h-full numbers by Das, Sourabhashis, Kuo, Wentang, Liu, Yu-Ru

“…Let k and n be natural numbers. Let ωk(n) denote the number of distinct prime factors of n with multiplicity k as studied by Elma and the third author [5]. We…”
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Spectrum, algebraicity and normalization in alternate bases by Charlier, Émilie, Cisternino, Célia, Masáková, Zuzana, Pelantová, Edita

“…The first aim of this article is to give information about the algebraic properties of alternate bases β=(β0,…,βp−1) determining sofic systems. We show that a…”
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