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4 papers · 2 filters
The Values of the Riemann Zeta-Function on Discrete Sets
Junghun Lee, Athanasios Sourmelidis, Jörn Steuding +1
We study the values taken by the Riemann zeta-function on discrete sets. We show that infinite vertical arithmetic progressions are uniquely determined by the values of tak…
New functional equations of finite multiple polylogarithms
Masataka Ono
We give a finite analogue of the well-known formula of multiple polylogarithms for any positive inte…
The Fourier coefficients of the McKay-Thompson series and the traces of CM values
Toshiki Matsusaka
The elliptic modular j function enjoys many beautiful properties. Its Fourier coefficients are related to the Monster group, and its CM values generate abelian extensions over imag…
On ternary positive-definite quadratic forms with the same representations over Z
Ryoko Oishi-Tomiyasu
Kaplansky conjectured that if two positive-definite real ternary quadratic forms have perfectly identical representations over , they are constant multiples of regular…