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A Computational Study of the Asymptotic Behaviour of Coefficient Fields of Modular Forms

Mathematics – Number Theory
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A congruence property of the local Langlands correspondence

Mathematics – Number Theory
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A conjecture about numerators of Bernoulli numbers related to Integer Sequence A092291

Mathematics – Number Theory
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A conjecture for the sixth power moment of the Riemann zeta-function

Mathematics – Number Theory
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A conjecture of Yves Andre

Mathematics – Number Theory
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A Conjecture on Primes and a Step towards Justification

Mathematics – Number Theory
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A conjecture on rational approximations to rational points

Mathematics – Number Theory
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A Conjecture on the Collatz-Kakutani Path Length for the Mersenne Primes

Mathematics – Number Theory
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A conjecture on the torsion points of elliptic curves with the complex multiplication

Mathematics – Number Theory
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A conjecture which implies that there is an algorithm which to each Diophantine equation assigns an integer which is greater than the heights of integer (non-negative integer, rational) solutions, if these solutions form a finite set

Mathematics – Number Theory
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A conjecture-generalization of Sondow's formula

Mathematics – Number Theory
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A connection between covers of the integers and unit fractions

Mathematics – Number Theory
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A consequence of Littlewood's conditional estimates for the Riemann zeta-function and a way to check the Riemann hypothesis

Mathematics – Number Theory
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A construction of polynomials with squarefree discriminants

Mathematics – Number Theory
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A control theorem for the images of Galois actions on certain infinite families of modular forms

Mathematics – Number Theory
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A converse theorem for $Γ_0(13)$

Mathematics – Number Theory
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A converse to Halasz's theorem

Mathematics – Number Theory
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A converse to Mazur's inequality for split classical groups

Mathematics – Number Theory
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A Cosine Integral Series Representation of the Euler-Mascheroni Constant

Mathematics – Number Theory
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A counter example to Malle's conjecture on the asymptotics of discriminants

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