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A new family of elliptic curves with positive ranks arising from the Heron triangles

Mathematics – Number Theory
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A new family of exceptional polynomials in characteristic two

Mathematics – Number Theory
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A New Generating Function of (q-) Bernstein Type Polynomials and their Interpolation Function

Mathematics – Number Theory
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A new inequality for the Hermite constants

Mathematics – Number Theory
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A new Kim's type Bernoulli and Euler Numbers and related identities and zeta and L-functions

Mathematics – Number Theory
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A new look at Hecke's indefinite theta series

Mathematics – Number Theory
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A new look at the trailing zeroes on $N!$

Mathematics – Number Theory
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A new multiple Dirichlet series induced by a higher order form

Mathematics – Number Theory
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A new necessary and sufficient condition for the Riemann hypothesis

Mathematics – Number Theory
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A new Ramanujan-like series for $1/π^2$

Mathematics – Number Theory
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A New Representation of the Riemann Zeta Function $ζ(s)$

Mathematics – Number Theory
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A new series for $π^3$ and related congruences

Mathematics – Number Theory
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A New Tower of Rankin-Selberg Integrals

Mathematics – Number Theory
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A New Type of Continued Fraction Expansion

Mathematics – Number Theory
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A new upper bound for finite additive bases

Mathematics – Number Theory
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A new upper bound for the cross number of finite Abelian groups

Mathematics – Number Theory
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A non-abelian Stickelberger theorem

Mathematics – Number Theory
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A non-Archimedean analogue of the Hodge-D-conjecture for products of elliptic curves

Mathematics – Number Theory
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A Non-Archimedean Wave Equation

Mathematics – Number Theory
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A non-selfdual 4-dimensional Galois representation

Mathematics – Number Theory
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