New pathways and connections in number theory and analysis motivated by two incorrect claims of Ramanujan. Zbl 1396.11103
Berndt, Bruce C.; Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru |
|
2017
|
Riesz-type criteria and theta transformation analogues. Zbl 1396.11105
Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru |
|
2016
|
Moments of averages of generalized Ramanujan sums. Zbl 1367.11071
Robles, Nicolas; Roy, Arindam |
|
2017
|
Twisted second moments of the Riemann zeta-function and applications. Zbl 1383.11103
Robles, Nicolas; Roy, Arindam; Zaharescu, Alexandru |
|
2016
|
Zeros of combinations of the Riemann \(\xi\)-function on bounded vertical shifts. Zbl 1381.11065
Dixit, Atul; Robles, Nicolas; Roy, Arindam; Zaharescu, Alexandru |
|
2015
|
Ramanujan-Hardy-Littlewood-Riesz phenomena for Hecke forms. Zbl 1383.11064
Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru |
|
2015
|
Sums of magnetic eigenvalues are maximal on rotationally symmetric domains. Zbl 1242.81082
Laugesen, Richard S.; Liang, Jian; Roy, Arindam |
|
2012
|
Koshliakov kernel and identities involving the Riemann zeta function. Zbl 1396.11104
Dixit, Atul; Robles, Nicolas; Roy, Arindam; Zaharescu, Alexandru |
|
2016
|
Zeros of partial sums of the Dedekind zeta function of a cyclotomic field. Zbl 1294.11151
Ledoan, Andrew; Roy, Arindam; Zaharescu, Alexandru |
|
2014
|
Convexity of quotients of theta functions. Zbl 1253.33022
Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru |
|
2012
|
Some identities involving convolutions of Dirichlet characters and the Möbius function. Zbl 1412.11091
Roy, Arindam; Zaharescu, Alexandru; Zaki, Mohammad |
|
2016
|
Monotonicity results for Dirichlet \(L\)-functions. Zbl 1357.11072
Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru |
|
2014
|
Error functions, Mordell integrals and an integral analogue of a partial theta function. Zbl 1393.11058
Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru |
|
2017
|
Zeros of Dirichlet polynomials. Zbl 1469.11362
Roy, Arindam; Vatwani, Akshaa |
|
2021
|
On a class of functions that satisfies explicit formulae involving the Möbius function. Zbl 1382.11056
Kühn, Patrick; Robles, Nicolas; Roy, Arindam |
|
2015
|
Zeros of a family of approximations of Hecke \(L\)-functions associated with cusp forms. Zbl 1411.11085
Li, Junxian; Roy, Arindam; Zaharescu, Alexandru |
|
2016
|
Zeros of partial sums of \(L\)-functions. Zbl 1494.11077
Roy, Arindam; Vatwani, Akshaa |
|
2019
|
Smooth \(L^2\) distances and zeros of approximations of Dedekind zeta functions. Zbl 1427.11121
Li, Junxian; Nastasescu, Maria; Roy, Arindam; Zaharescu, Alexandru |
|
2017
|
Analogue of a Fock-type integral arising from electromagnetism and its applications in number theory. Zbl 1460.33003
Dixit, Atul; Roy, Arindam |
|
2020
|
Unexpected average values of generalized von Mangoldt functions in residue classes. Zbl 1469.11384
Robles, Nicolas; Roy, Arindam |
|
2021
|
On the distribution of zeros of derivatives of the Riemann \(\xi \)-function. Zbl 1472.11235
Malik, Amita; Roy, Arindam |
|
2020
|
Zeros of Dirichlet polynomials. Zbl 1469.11362
Roy, Arindam; Vatwani, Akshaa |
|
2021
|
Unexpected average values of generalized von Mangoldt functions in residue classes. Zbl 1469.11384
Robles, Nicolas; Roy, Arindam |
|
2021
|
Analogue of a Fock-type integral arising from electromagnetism and its applications in number theory. Zbl 1460.33003
Dixit, Atul; Roy, Arindam |
|
2020
|
On the distribution of zeros of derivatives of the Riemann \(\xi \)-function. Zbl 1472.11235
Malik, Amita; Roy, Arindam |
|
2020
|
Zeros of partial sums of \(L\)-functions. Zbl 1494.11077
Roy, Arindam; Vatwani, Akshaa |
|
2019
|
New pathways and connections in number theory and analysis motivated by two incorrect claims of Ramanujan. Zbl 1396.11103
Berndt, Bruce C.; Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru |
|
2017
|
Moments of averages of generalized Ramanujan sums. Zbl 1367.11071
Robles, Nicolas; Roy, Arindam |
|
2017
|
Error functions, Mordell integrals and an integral analogue of a partial theta function. Zbl 1393.11058
Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru |
|
2017
|
Smooth \(L^2\) distances and zeros of approximations of Dedekind zeta functions. Zbl 1427.11121
Li, Junxian; Nastasescu, Maria; Roy, Arindam; Zaharescu, Alexandru |
|
2017
|
Riesz-type criteria and theta transformation analogues. Zbl 1396.11105
Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru |
|
2016
|
Twisted second moments of the Riemann zeta-function and applications. Zbl 1383.11103
Robles, Nicolas; Roy, Arindam; Zaharescu, Alexandru |
|
2016
|
Koshliakov kernel and identities involving the Riemann zeta function. Zbl 1396.11104
Dixit, Atul; Robles, Nicolas; Roy, Arindam; Zaharescu, Alexandru |
|
2016
|
Some identities involving convolutions of Dirichlet characters and the Möbius function. Zbl 1412.11091
Roy, Arindam; Zaharescu, Alexandru; Zaki, Mohammad |
|
2016
|
Zeros of a family of approximations of Hecke \(L\)-functions associated with cusp forms. Zbl 1411.11085
Li, Junxian; Roy, Arindam; Zaharescu, Alexandru |
|
2016
|
Zeros of combinations of the Riemann \(\xi\)-function on bounded vertical shifts. Zbl 1381.11065
Dixit, Atul; Robles, Nicolas; Roy, Arindam; Zaharescu, Alexandru |
|
2015
|
Ramanujan-Hardy-Littlewood-Riesz phenomena for Hecke forms. Zbl 1383.11064
Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru |
|
2015
|
On a class of functions that satisfies explicit formulae involving the Möbius function. Zbl 1382.11056
Kühn, Patrick; Robles, Nicolas; Roy, Arindam |
|
2015
|
Zeros of partial sums of the Dedekind zeta function of a cyclotomic field. Zbl 1294.11151
Ledoan, Andrew; Roy, Arindam; Zaharescu, Alexandru |
|
2014
|
Monotonicity results for Dirichlet \(L\)-functions. Zbl 1357.11072
Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru |
|
2014
|
Sums of magnetic eigenvalues are maximal on rotationally symmetric domains. Zbl 1242.81082
Laugesen, Richard S.; Liang, Jian; Roy, Arindam |
|
2012
|
Convexity of quotients of theta functions. Zbl 1253.33022
Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru |
|
2012
|