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math.NT2026
Upper bound for the moment of shifted values of cubic -functions over function fields
Pranendu Darbar, Sampa Dey, Gopal Maiti
In this paper, we study correlations of shifted values of cubic -functions over function fields and derive an upper bound for moments of these shifted values in the limit where…
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…