Primes of the form x2 + ny2

By K. Gandhi. 2012

603 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Conjectures and results on $x^2$ mod $p^2$ with $4p=x^2+dy^2$ (2011, neutral): “, [C]), if p ≡ 1, 9 (mod 20) then p = x(2) + 5y(2) for some x, y ∈ Z; if p ≡ 3, 7 (mod 20) then 2p = x(2) + 5y(2) for some x, y ∈ Z.”
Generic Polynomials Constructive Aspects Of The Inverse Galois Problem (2016, methodology): “This (being in the Exercises section) is of course only an overview, and we refer to [We3] (as well as [Cox]) for a complete treatment of the basic theory.”
Galois representations attached to elliptic curves with complex multiplication (2018, background): “Notice, however, that jK,f is real (see, for instance, [5], p.”
Trace formulas for Hecke operators, Gaussian hypergeometric functions, and the modularity of a threefold (2011, methodology): “When l|t, we use the following theorem from [3]:”
Super congruences and Euler numbers (2010, neutral): “Cox [C]), if p ≡ 1 (mod 3) then there are unique x, y ∈ Z such that p = x(2) + 3y(2); if p ≡ 1, 3 (mod 8) (i.”