Add to ORKGWe conjecture the occurrence of a certain type of factor of a holomorphic eta quotient whenever it is reducible and we prove this conjecture for all prime power levels. In particular, this also implies that rescaling and Atkin-Lehner involutions of irreducible holomorphic eta quotients of prime power levels are irreducible. We also show that there are finitely many simple holomorphic eta quotients of a given level and provide a bound on the weights of such eta quotients of a given level. Finally, we construct an infinite family of irreducible holomorphic eta quotients of prime power levels
In this article, complex powers of the Dedekind eta function are studied. The vanishing of the nth F...
AbstractThe conjecture on missing trace values for the eta multipliers by Asai is proved. The eta mu...
Inspired by the multiplicative nature of the Ramanujan modular discriminant, Δ, we consider physical...
We conjecture the occurrence of a certain type of factor of a holomorphic eta quotient whenever it i...
We show that for any positive integer N, there are only finitely many holomorphic eta quotients of l...
In this talk, we study the vanishing properties of Fourier coefficients of powers of the Dedekind et...
In their famous paper on partitions, Hardy and Ramanujan also raised the question of the behaviour o...
In this thesis we study the Diophantine equation xp - Dy2p = z2; gcd(x; z) = 1; p prime: We combine ...
We investigate the parity of the coefficients of certain eta-quotients, extensively examining the ca...
In the first part of this thesis we generalize a theorem of Kiming and Olsson concerning the existenc...
This dissertation considers two topics. In the first part of the dissertation, we prove the existenc...
The goal of this note is to provide a general lower bound on the number of even values of the Fourie...
In this paper, I present a formalisation of a large portion of Apostol\u27s Introduction to Analytic...
Three proofs of the prime number theorem are presented. The rst is a heavily analytic proof based o...
A technique is described for explicitly evaluating quotients of the Dedekind eta function at quadrat...
In this article, complex powers of the Dedekind eta function are studied. The vanishing of the nth F...
AbstractThe conjecture on missing trace values for the eta multipliers by Asai is proved. The eta mu...
Inspired by the multiplicative nature of the Ramanujan modular discriminant, Δ, we consider physical...
We conjecture the occurrence of a certain type of factor of a holomorphic eta quotient whenever it i...
We show that for any positive integer N, there are only finitely many holomorphic eta quotients of l...
In this talk, we study the vanishing properties of Fourier coefficients of powers of the Dedekind et...
In their famous paper on partitions, Hardy and Ramanujan also raised the question of the behaviour o...
In this thesis we study the Diophantine equation xp - Dy2p = z2; gcd(x; z) = 1; p prime: We combine ...
We investigate the parity of the coefficients of certain eta-quotients, extensively examining the ca...
In the first part of this thesis we generalize a theorem of Kiming and Olsson concerning the existenc...
This dissertation considers two topics. In the first part of the dissertation, we prove the existenc...
The goal of this note is to provide a general lower bound on the number of even values of the Fourie...
In this paper, I present a formalisation of a large portion of Apostol\u27s Introduction to Analytic...
Three proofs of the prime number theorem are presented. The rst is a heavily analytic proof based o...
A technique is described for explicitly evaluating quotients of the Dedekind eta function at quadrat...
In this article, complex powers of the Dedekind eta function are studied. The vanishing of the nth F...
AbstractThe conjecture on missing trace values for the eta multipliers by Asai is proved. The eta mu...
Inspired by the multiplicative nature of the Ramanujan modular discriminant, Δ, we consider physical...