A. Srinivasan

activity

20132023

most citedInfinitely many sign changes of the Liouville function on

x^{2} + d

1 citations · 1 across the 5 of their papers we have counts for

collaborators

6 papers

math.NT2023

Minimal triples for a generalized Markoff equation

A. Srinivasan, L. A. Calvo

For a positive integer $m > 1$ , if the generalized Markoff equation $a^{2} + b^{2} + c^{2} = 3 ab c + m$ has a solution triple, then it has infinitely many solutions. We show that all positive solut…

math.NT2022

A binary quadratic approach to $X^{2} + (2 k - 1)^{Y} = k^{Z}$

Maohua Le, Anitha Srinivasan

A conjecture of N. Terai states that for any integer $k > 1$ , the equation $x^{2} + (2 k - 1)^{y} = k^{z}$ has only one solution, namely, $(x, y, z) = (k - 1, 1, 2) .$ Using the structure of class…

math.NT2021★ 1 cited

Infinitely many sign changes of the Liouville function on $x^{2} + d$

Anitha Srinivasan

We show that the Liouville function changes sign infinitely often for $x^{2} + d$ .

math.NT2019

A complete classification of well-rounded real quadratic ideal lattices

Anitha Srinivasan

We provide a complete classification of well-rounded ideal lattices arising from real quadratic fields. We show that the ideals that give rise to such lattices are precisely the on…

math.NT2017

New upper bounds for Ramanujan primes

Anitha Srinivasan, Pablo Arés

For $n \geq 1$ , the $n^{th}$ Ramanujan prime is defined as the smallest positive integer $R_{n}$ such that for all $x \geq R_{n}$ , the interval $(\frac{x}{2}, x]$ has at least $n$ prim…

math.NT2013

On the prime divisors of elements of a $D (- 1)$ quadruple

Anitha Srinivasan

We show that if {1, b, c, d} is a D(-1) diophantine quadruple with b<c<d and c=1+s^2, then the cases s=p^k, s=2p^k, c=p and c=2p^k do not occur, where p is an odd prime and k is a…

Minimal triples for a generalized Markoff equation

A binary quadratic approach to X2+(2k−1)Y=kZ

Infinitely many sign changes of the Liouville function on x2+d

A complete classification of well-rounded real quadratic ideal lattices

New upper bounds for Ramanujan primes

On the prime divisors of elements of a D(−1) quadruple

A binary quadratic approach to $X^{2} + (2 k - 1)^{Y} = k^{Z}$

Infinitely many sign changes of the Liouville function on $x^{2} + d$

On the prime divisors of elements of a $D (- 1)$ quadruple