Abstract
We prove that theta functions of binary quadratic forms with congruence conditions coincide with theta functions attached to ray classes of quadratic fields. By Hecke's Theorem, we can construct Hecke eigenforms by forming linear combinations of them.
Acknowledgments
The author would like to thank the anonymous referee for careful reading of the manuscript. His/Her helpful comments and suggestions helped a lot to improve the manuscript.
Citation
Ryota Okano. "Theta functions of binary quadratic forms with congruence conditions as ray class theta functions." SUT J. Math. 57 (1) 1 - 15, June 2021. https://doi.org/10.55937/sut/1623929881
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