Apoorva Panidapu

activity

20202026

most citedSmall gaps between almost primes, the parity problem, and some conjectures of Erdős on consecutive integers II

2 citations · 4 across the 7 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.NT2021★ 1 cited

Tamagawa Products for Elliptic Curves Over Number Fields

Yunseo Choi, Sean Li, Apoorva Panidapu +1

In recent work, Griffin, Ono, and Tsai constructs an $L -$ series to prove that the proportion of short Weierstrass elliptic curves over $Q$ with trivial Tamagawa product is…

math.NT2021

Short-interval sector problems for CM elliptic curves

Apoorva Panidapu, Jesse Thorner

Let $E / Q$ be an elliptic curve that has complex multiplication (CM) by an imaginary quadratic field $K$ . For a prime $p$ , there exists $θ_{p} \in [0, π]$ such that $p+1-\#E(…

math.NT2021

Small Gaps Between Three Almost Primes and Almost Prime Powers

Daniel A. Goldston, Apoorva Panidapu, Jordan Schettler

A positive integer is called an $E_{j}$ -number if it is the product of $j$ distinct primes. We prove that there are infinitely many triples of $E_{2}$ -numbers within a gap size of $32$ …