37 citations · 39 across the 3 of their papers we have counts for
7 papers
Cycles in the supersingular -isogeny graph and corresponding endomorphisms
Efrat Bank, Catalina Camacho-Navarro, Kirsten Eisentraeger +2
We study the problem of generating the endomorphism ring of a supersingular elliptic curve by two cycles in -isogeny graphs. We prove a necessary and sufficient condition for…
Correlations between primes in short intervals on curves over finite fields
Efrat Bank, Tyler Foster
We prove an analogue of the Hardy-Littlewood conjecture on the asymptotic distribution of prime constellations in the setting of short intervals in function fields of smooth projec…
Primes in short intervals on curves over finite fields
Efrat Bank, Tyler Foster
We prove an analogue of the Prime Number Theorem for short intervals on a smooth projective geometrically irreducible curve of arbitrary genus over a finite field. A short interval…
Solution of Cassels' Problem on a Diophantine Constant over Function Fields
Efrat Bank, Erez Nesharim, Steffen Højris Pedersen
This paper deals with the analogue of Inhomogeneous Diophantine Approximation in function fields. The inhomogeneous approximation constant of a Laurent series $θ\in\mathbb F_q\left…
Sums of two squares in short intervals in polynomial rings over finite fields
Efrat Bank, Lior Bary-Soroker, Arno Fehm
Landau's theorem asserts that the asymptotic density of sums of two squares in the interval is , where is the Landau-Ramanujan constant. It i…
Prime polynomial values of linear functions in short intervals
Efrat Bank, Lior Bary-Soroker
In this paper we establish a function field analogue of a conjecture in number theory which is a combination of several famous conjectures, including the Hardy-Littlewood prime tup…
Prime polynomials in short intervals and in arithmetic progressions
Efrat Bank, Lior Bary-Soroker, Lior Rosenzweig
In this paper we establish function field versions of two classical conjectures on prime numbers. The first says that the number of primes in intervals (x,x+x^epsilon] is about x^e…