TY - JOUR
T1 - Irrational factor races
AU - Chaubey, Sneha
AU - Lanius, Melinda
AU - Zaharescu, Alexandru
N1 - Publisher Copyright:
© Indian Academy of Sciences.
Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.
PY - 2014/11
Y1 - 2014/11
N2 - We investigate the behavior of the sum of the irrational factor function over arithmetic progressions. We first establish a general asymptotic formula for such a sum, and then obtain some further results in the case of arithmetic progressions 3n±1.
AB - We investigate the behavior of the sum of the irrational factor function over arithmetic progressions. We first establish a general asymptotic formula for such a sum, and then obtain some further results in the case of arithmetic progressions 3n±1.
KW - Dirichlet L-functions
KW - Irrational factor function
KW - Races
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U2 - 10.1007/s12044-014-0198-z
DO - 10.1007/s12044-014-0198-z
M3 - Article
AN - SCOPUS:84924276988
SN - 0253-4142
VL - 124
SP - 471
EP - 479
JO - Proceedings of the Indian Academy of Sciences: Mathematical Sciences
JF - Proceedings of the Indian Academy of Sciences: Mathematical Sciences
IS - 4
ER -