6 papers
A very special case of Siegel's mass formula and Hecke operators
Pavel Guerzhoy, Ben Kane
We make use of Hecke operators and arithmetic of imaginary quadratic fields to derive an explicit version of a special case of Siegel's mass formula.
On sparse geometry of numbers
Lenny Fukshansky, Pavel Guerzhoy, Stefan Kuehnlein
Let be a lattice of full rank in -dimensional real space. A vector in is called -sparse if it has no more than nonzero coordinates. We define the -th successiv…
Periodicities for Taylor coefficients of half-integral weight modular forms
Pavel Guerzhoy, Michael H. Mertens, Larry Rolen
Congruences of Fourier coefficients of modular forms have long been an object of central study. By comparison, the arithmetic of other expansions of modular forms, in particular Ta…
Farkas' identities with quartic characters
Pavel Guerzhoy, Ka Lun Wong
Farkas in \cite{Farkas} introduced an arithmetic function and found an identity involving and a sum of divisor function . The first-named author and Raji in \cite{Guerz…
Central -values of elliptic curves and local polynomials
Stephan Ehlen, Pavel Guerzhoy, Ben Kane +1
Here we study the recently introduced notion of a locally harmonic Maass form and its applications to the theory of -functions. In particular, we find finite formulas for certai…
Some congruences for traces of singular moduli
Pavel Guerzhoy
We address a question posed by Ono, prove a general result for powers of an arbitrary prime, and provide an explanation for the appearance of higher congruence moduli for certain s…