National Center for Theoretical Sciences

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most citedElectromagnetic excitation of the Delta(1232)-resonance

329 citations

Showing 2009 · math.NTShow all

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math.NT2009★ 1 cited

Algebraic independence of arithmetic gamma values and Carlitz zeta values

Chieh-Yu Chang, Matthew A. Papanikolas, Dinesh S. Thakur +1

We consider the values at proper fractions of the arithmetic gamma function and the values at positive integers of the zeta function for F_q[theta] and provide complete algebraic i…

math.NT2009

Congruences of the partition function

Yifan Yang

Let $p (n)$ denote the partition function. In this article, we will show that congruences of the form $p (m^{j} ℓ^{k} n + B) \equiv 0 mod m for all n \geq 0$ exist for all primes…