Romanian Academy

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19962026

most citedGalaxy And Mass Assembly (GAMA): end of survey report and data release 2

594 citations

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math.NT2020

Exceptional characters and nonvanishing of Dirichlet $L$ -functions

H. M. Bui, Kyle Pratt, Alexandru Zaharescu

Let $ψ$ be a real primitive character modulo $D$ . If the $L$ -function $L (s, ψ)$ has a real zero close to $s = 1$ , known as a Landau-Siegel zero, then we say the character $ψ$ is excep…

math.NT2020★ 22 cited

There is no Diophantine $D (- 1)$ --quadruple

Nicolae Ciprian Bonciocat, Mihai Cipu, Maurice Mignotte

A set of positive integers with the property that the product of any two of them is the successor of a perfect square is called Diophantine $D (- 1)$ --set. Such objects are usually s…

math.NT2020★ 10 cited

Magnetic (quasi-)modular forms

Vicenţiu Paşol, Wadim Zudilin

A (folklore?) conjecture states that no holomorphic modular form $F (τ) = \sum_{n = 1}^{\infty} a_{n} q^{n} \in q Z [[q]]$ exists, where $q = e^{2 π i τ}$ , such that its anti-derivative $\sum_…

Exceptional characters and nonvanishing of Dirichlet L-functions

There is no Diophantine D(−1)--quadruple

Magnetic (quasi-)modular forms

Exceptional characters and nonvanishing of Dirichlet $L$ -functions

There is no Diophantine $D (- 1)$ --quadruple