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The authors prove that for every finite field F_q with q a prime power satisfying q ≡ 1 (mod 8), the central values L(1/2, χ) do not vanish
What the paper is about: The authors give a simple, explicit rule for the signature — the counts of positive and negative directions — of a
This paper proves a clean counting formula for a version of Waring’s problem over the polynomial ring F_q[T]. The authors show that, when th
This paper reports a numerical study of how height variables in the two‑dimensional Abelian sandpile model are correlated at long distances.
A new proof shows the exact best constant in a basic spectral inequality for one‑dimensional quantum systems. The paper proves that, for a o
This review explains a practical way to study nonlinear wave equations by reducing them to simpler dynamical systems. The authors argue that
What the paper proves in plain language: the authors show that, for a wide class of time-varying one-particle densities, there is a unique e
Researchers present SHARDLP, a distributed linear‑programming (LP) solver that keeps the problem and the solver state split across many GPUs
This paper asks a concrete mathematical question about a simple quantum field. The authors study a quantized real scalar field—obeying the K
The Erdős–Sós conjecture predicts a simple connection between how many edges a large graph has and which trees it must contain. It says that