A generalization of Lerch’s formula

Nobushige Kurokawa; Masato Wakayama

Czechoslovak Mathematical Journal (2004)

  • Volume: 54, Issue: 4, page 941-947
  • ISSN: 0011-4642

Abstract

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We give higher-power generalizations of the classical Lerch formula for the gamma function.

How to cite

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Kurokawa, Nobushige, and Wakayama, Masato. "A generalization of Lerch’s formula." Czechoslovak Mathematical Journal 54.4 (2004): 941-947. <http://eudml.org/doc/30912>.

@article{Kurokawa2004,
abstract = {We give higher-power generalizations of the classical Lerch formula for the gamma function.},
author = {Kurokawa, Nobushige, Wakayama, Masato},
journal = {Czechoslovak Mathematical Journal},
keywords = {Lerch’s formula; Hurwitz zeta function; zeta regularized product; Lerch's formula; Hurwitz zeta function; zeta regularized product},
language = {eng},
number = {4},
pages = {941-947},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A generalization of Lerch’s formula},
url = {http://eudml.org/doc/30912},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Kurokawa, Nobushige
AU - Wakayama, Masato
TI - A generalization of Lerch’s formula
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 4
SP - 941
EP - 947
AB - We give higher-power generalizations of the classical Lerch formula for the gamma function.
LA - eng
KW - Lerch’s formula; Hurwitz zeta function; zeta regularized product; Lerch's formula; Hurwitz zeta function; zeta regularized product
UR - http://eudml.org/doc/30912
ER -

References

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  2. 10.1007/BF01231885, Invent. math. 107 (1992), 135–150. (1992) Zbl0762.14015MR1135468DOI10.1007/BF01231885
  3. Gamma factors and Plancherel measures, Proc. Japan Acad. 68A (1992), 256–260. (1992) Zbl0797.11053MR1202627
  4. 10.1007/s00220-004-1065-z, Commun. Math. Phys. 247 (2004), 447–466. (2004) MR2063268DOI10.1007/s00220-004-1065-z
  5. Generalized zeta regularizations, quantum class number formulas, and Appell’s O -functions, The Ramanujan J (to appear). (to appear) MR2193381
  6. Další studie v oboru Malmsténovských řad, Rozpravy České Akad. věd 3 (1894), 1–61. (1894) 
  7. Lectures on zeta functions and motives (according to Deninger and Kurokawa), Astérisque 228 (1995), 121–163. (1995) MR1330931

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