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A Pattern Sequence Approach to Stern's Sequence

Mathematics – Number Theory
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A peculiar modular form of weight one

Mathematics – Number Theory
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A phenomenological model explaining the observed scales of astrophysical and cosmological structures

Mathematics – Number Theory
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A Polya-Hilbert operator for automorphic L-functions

Mathematics – Number Theory
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A polynomial with Galois group SL2(F16)

Mathematics – Number Theory
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A potential analogue of Schinzel's hypothesis for polynomials with coefficients in Fq[t]

Mathematics – Number Theory
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A precise description of the p-adic valuation of the number of alternating sign matrices

Mathematics – Number Theory
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A precise result on the arithmetic of non-principal orders in algebraic number fields

Mathematics – Number Theory
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A primality test for $Kp^n+1$ numbers

Mathematics – Number Theory
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A Prime Number Theorem for Rankin-Selberg L-functions over Number fields

Mathematics – Number Theory
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A probabilistic interpretation of a sequence related to Narayana polynomials

Mathematics – Number Theory
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A probabilistic interpretation of the Volkenborn integral

Mathematics – Number Theory
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A probabilistic proof of Wallis's formula for pi

Mathematics – Number Theory
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A probabilistic technique for finding almost-periods of convolutions

Mathematics – Number Theory
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A problem of Ramanujan, Erdos and Katai on the iterated divisor function

Mathematics – Number Theory
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A product representation of pi

Mathematics – Number Theory
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A proof of a simple conjecture about harmonic numbers

Mathematics – Number Theory
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A proof of Andrews' conjecture on Partitions with no short sequences

Mathematics – Number Theory
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A proof of Hadjicostas's conjecture

Mathematics – Number Theory
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A proof of Pisot's dth root conjecture

Mathematics – Number Theory
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