10 citations · 53 across the 34 of their papers we have counts for
34 papers
Lower Bounds for Moments of -functions
Sanoli Gun, Gaurav Kumar, Deep Thakur
In this article, we introduce a refinement of the method of Heap and Soundararajan to obtain lower bounds for the -th moment of a broad class of -functions for all real $k\g…
On divisibility of Hecke eigenvalues of Ikeda lifts
Sanoli Gun, Sunil Naik
In this article, we estimate the density of the set of primes such that the -th Hecke eigenvalue of an Ikeda lift is divisible by a fixed positive integer. One of the main i…
A note on Fourier coefficients of Hecke eigenforms in short intervals
Sanoli Gun, Sunil Naik
In this article, we investigate large prime factors of Fourier coefficients of non-CM normalized cuspidal Hecke eigenforms in short intervals. One of the new ingredients involves d…
On extreme values of quadratic twists of Dirichlet-type -functions
Sanoli Gun, Rashi Lunia
In a recent work by Gun, Kohnen and Soundararajan, it has been shown that -functions associated with arbitrary non-zero cusp forms take large values at the central critical poin…
Extreme values of -functions of newforms
Sanoli Gun, Rashi Lunia
In 2008, Soundararajan showed that there exists a normalized Hecke eigenform of weight and level one such that $$ L(1/2, f ) ~\geq~ \exp\Bigg( (1 + o(1)) \sqrt{\frac{2\log…
On the largest prime factor of non-zero Fourier coefficients of Hecke eigenforms
Sanoli Gun, Sunil L Naik
Let denote the Ramanujan tau function. One is interested in possible prime values of function. Since is multiplicative and is odd if and only if is an odd sq…
On a non-Archimedean analogue of a question of Atkin and Serre
Yuri F Bilu, Sanoli Gun, Sunil L Naik
In this article, we investigate a non-Archimedean analogue of a question of Atkin and Serre. More precisely, we derive lower bounds for the largest prime factor of non-zero Fourier…
On Hecke eigenvalues of Ikeda lifts
Sanoli Gun, Sunil L Naik
A well known result of Breulmann states that Hecke eigenvalues of Saito-Kurokawa lifts are positive. In this article, we show that the Hecke eigenvalues of an Ikeda lift at primes…
On an extension of a question of Baker
Sanoli Gun, Neelam Kandhil
It is an open question of Baker whether the numbers for non-trivial Dirichlet characters with period are linearly independent over . The best known re…
On linear independence of Dirichlet values
Sanoli Gun, Neelam Kandhil, Patrice Philippon
The study of linear independence of for a fixed integer and varying depends critically on the parity of vis-à-vis . This has been investigated by a numbe…
Representing ideal classes of ray class groups by product of prime ideals of small size
J. -M. Deshouillers, S. Gun, O. Ramaré +1
We prove that, for every modulus , every class of the narrow ray class group of an arbitrary number field contains a produ…
Counting ideals in ray classes
Sanoli Gun, Olivier Ramaré, Jyothsnaa Sivaraman
Let be a number field and an integral ideal in . A result of Tatuzawa from 1973, computes the asymptotic (with an error term)…
Effective multiplicative independence of 3 singular moduli
Yuri Bilu, Sanoli Gun, Emanuele Tron
Pila and Tsimerman proved in 2017 that for every there exists at most finitely many -tuples of distinct non-zero singular moduli with the property "$x_1,…
Uniform explicit Stewart's theorem on prime factors of linear recurrences
Yuri Bilu, Haojie Hong, Sanoli Gun
Stewart (2013) proved that the biggest prime divisor of the th term of a Lucas sequence of integers grows quicker than , answering famous questions of Erdős and Schinzel. In…
Large Fourier coefficients of half-integer weight modular forms
S. Gun, W. Kohnen, K. Soundararajan
This article is concerned with the Fourier coefficients of cusp forms (not necessarily eigenforms) of half-integer weight lying in the plus space. We give a soft proof that there a…
Critical points of Eisenstein series
Sanoli Gun, Joseph Oesterlé
For any even integer , let $\E_k$ be the normalized Eisenstein series of weight for $\SL_2(\Z)$. Also let $\D$ be the closure of the standard fundamental domain of the…
On the local structure of the set of values of Euler's function
Jean-Marc Deshouillers, Pramod Eyyunni, Sanoli Gun
Assuming the validity of Dickson's conjecture, we show that the set of values of the Euler's totient function contains arbitrarily large arithmetic progressions w…
Arithmetic behaviour of Hecke eigenvalues of Siegel cusp forms of degree two
Sanoli Gun, Winfried Kohnen, Biplab Paul
Let and be Siegel cusp forms for $\Sp_4(\Z)$ and weights respectively. Also let and be Hecke eigenforms lying in distinct eigen spaces. Further suppose t…
Transcendental sums related to the zeros of zeta functions
Sanoli Gun, M. Ram Murty, Purusottam Rath
While the distribution of the non-trivial zeros of the Riemann zeta function constitutes a central theme in Mathematics, nothing is known about the algebraic nature of these non-tr…
On Hecke eigenvalues of Siegel modular forms in the Maass space
Sanoli Gun, Biplab Paul, Jyoti Sengupta
In this article, we prove an omega-result for the Hecke eigenvalues of Maass forms which are Hecke eigenforms in the space of Siegel modular forms of weight , genus…
The first simultaneous sign change and non-vanishing of Hecke eigenvalues of newforms
Sanoli Gun, Balesh Kumar, Biplab Paul
Let and be two distinct newforms which are normalized Hecke eigenforms of weights and levels respectively. Also let and …
Random ordering in modulus of consecutive Hecke eigenvalues of primitive forms
Yuri Bilu, Jean-Marc Deshouillers, Sanoli Gun +1
Let τ(.) be the Ramanujan τ-function, and let k be a positive integer such that τ(n) is not 0 for n=1,...,[k/2]. (This is known to be true for k < 10^{23}, and, conjecturally, for…
Linear and algebraic independence of Generalized Euler-Briggs constants
Sanoli Gun, V. Kumar Murty, Ekata Saha
Possible transcendental nature of Euler's constant has been the focus of study for sometime now. One possible approach is to consider not in isolation, but as an element of…
A number field extension of a question of Milnor
Tapas Chatterjee, Sanoli Gun, Purusottam Rath
Milnor formulated a conjecture about rational linear independence of some special Hurwitz zeta values. The second and third authors along with Ram Murty studied this conjecture and…