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math.NT2026
A simpler proof that there are no Landau--Siegel zeros
Bryce Kerr
This paper simplifies the recent OpenAI proof that there are no Landau--Siegel zeros.
math.NT2026
Large values of over sets of characters with small product set
Pranendu Darbar, Bryce Kerr, Marc Munsch +1
We obtain (conditional and unconditional) results on large values of -functions in the critical strip when the character runs through the ra…
math.NT2026
The infinitude of square-free palindromes
Daniel R. Johnston, Bryce Kerr
We settle an open problem regarding palindromes; that is, positive integers which are the same when written forwards and backwards. In particular, we prove that for any fixed base…